Details

analyze184.0ms (0.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample24.0ms (0.1%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	11×	body	128	invalid
0.0ms	2×	body	128	nan

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify470.0ms (2%)

Algorithm

1×	egg-herbie

Rules

606×	`times-frac_binary64_11337`
505×	`unsub-neg_binary64_11325`
387×	`exp-prod_binary64_11383`
309×	`swap-sqr_binary64_11298`
278×	`associate-/l*_binary64_11276`
181×	`distribute-rgt-neg-out_binary64_11291`
178×	`distribute-rgt1-in_binary64_11287`
170×	`distribute-rgt-in_binary64_11281`
150×	`distribute-lft-neg-in_binary64_11288`
146×	`distribute-rgt-neg-in_binary64_11289`
143×	`neg-mul-1_binary64_11327`
135×	`neg-sub0_binary64_11326` `distribute-lft-neg-out_binary64_11290`
118×	`exp-sum_binary64_11377`
110×	`sub-neg_binary64_11324`
109×	`distribute-neg-out_binary64_11293`
101×	`associate--r+_binary64_11267`
90×	`distribute-lft-in_binary64_11280`
89×	`exp-diff_binary64_11379`
86×	`distribute-neg-in_binary64_11292`
82×	`exp-to-pow_binary64_11393`
75×	`sqr-neg_binary64_11345`
70×	`associate-r_binary64_11271`
65×	`associate-+l-_binary64_11266`
63×	`exp-neg_binary64_11378`
62×	`remove-double-neg_binary64_11319`
61×	`log-pow_binary64_11420` `sqr-pow_binary64_11303`
58×	`cancel-sign-sub-inv_binary64_11297`
56×	`*-commutative_binary64_11262`
54×	`associate-l_binary64_11272`
50×	`associate-+l+_binary64_11264`
48×	`associate-+r+_binary64_11263`
46×	`pow-plus_binary64_11394`
44×	`associate--l+_binary64_11268`
35×	`pow-sqr_binary64_11304`
30×	`+-commutative_binary64_11261`
28×	`sub0-neg_binary64_11318`
24×	`associate-+r-_binary64_11265`
22×	`distribute-lft1-in_binary64_11286`
20×	`associate--r-_binary64_11270` `associate--l-_binary64_11269`
18×	`exp-lft-sqr_binary64_11386`
16×	`mul0-lft_binary64_11313`
15×	`log-prod_binary64_11417` `div-sub_binary64_11336` `*-rgt-identity_binary64_11321` `mul0-rgt_binary64_11314`
14×	`distribute-rgt-out--_binary64_11285`
12×	`*-lft-identity_binary64_11320`
11×	`+-rgt-identity_binary64_11316` `distribute-rgt-out_binary64_11284`
7×	`--rgt-identity_binary64_11317` `difference-of-squares_binary64_11300`
6×	`unswap-sqr_binary64_11299`
5×	`count-2_binary64_11279`
4×	`cube-prod_binary64_11359` `+-inverses_binary64_11310` `distribute-frac-neg_binary64_11294`
3×	`pow-base-1_binary64_11391` `cube-unmult_binary64_11368`
2×	`log-rec_binary64_11419` `log-div_binary64_11418` `rem-log-exp_binary64_11372` `+-lft-identity_binary64_11315` `cancel-sign-sub_binary64_11296`
1×	`log-E_binary64_11421` `prod-exp_binary64_11380` `1-exp_binary64_11375` `exp-1-e_binary64_11374` `div0_binary64_11312` `difference-of-sqr--1_binary64_11302` `difference-of-sqr-1_binary64_11301` `distribute-neg-frac_binary64_11295` `distribute-lft-out--_binary64_11283`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_11594` `erf-erfc_binary64_11593` `erf-odd_binary64_11592` `if-if-and-not_binary64_11591` `if-if-and_binary64_11590` `if-if-or-not_binary64_11589` `if-if-or_binary64_11588` `if-not_binary64_11587` `if-same_binary64_11586` `if-false_binary64_11585` `if-true_binary64_11584` `not-gte_binary64_11583` `not-lte_binary64_11582` `not-gt_binary64_11581` `not-lt_binary64_11580` `gte-same_binary64_11579` `lte-same_binary64_11578` `gt-same_binary64_11577` `lt-same_binary64_11576` `sinh---cosh_binary64_11523` `sinh-+-cosh_binary64_11522` `sinh-cosh_binary64_11521` `tanh-def-c_binary64_11520` `tanh-def-b_binary64_11519` `tanh-def-a_binary64_11518` `cosh-def_binary64_11517` `sinh-def_binary64_11516` `tan-neg_binary64_11463` `cos-neg_binary64_11462` `sin-neg_binary64_11461` `tan-0_binary64_11460` `cos-0_binary64_11459` `sin-0_binary64_11458` `hang-m-tan_binary64_11457` `hang-p-tan_binary64_11456` `hang-m0-tan_binary64_11455` `hang-p0-tan_binary64_11454` `hang-0m-tan_binary64_11453` `hang-0p-tan_binary64_11452` `tan-+PI/2_binary64_11451` `tan-+PI_binary64_11450` `tan-PI_binary64_11449` `tan-PI/3_binary64_11448` `tan-PI/4_binary64_11447` `tan-PI/6_binary64_11446` `cos-+PI/2_binary64_11445` `cos-+PI_binary64_11444` `cos-PI_binary64_11443` `cos-PI/2_binary64_11442` `cos-PI/3_binary64_11441` `cos-PI/4_binary64_11440` `cos-PI/6_binary64_11439` `sin-+PI/2_binary64_11438` `sin-+PI_binary64_11437` `sin-PI_binary64_11436` `sin-PI/2_binary64_11435` `sin-PI/3_binary64_11434` `sin-PI/4_binary64_11433` `sin-PI/6_binary64_11432` `sub-1-sin_binary64_11431` `sub-1-cos_binary64_11430` `-1-add-sin_binary64_11429` `-1-add-cos_binary64_11428` `1-sub-sin_binary64_11427` `1-sub-cos_binary64_11426` `cos-sin-sum_binary64_11425` `pow-base-0_binary64_11415` `unpow1/3_binary64_11398` `unpow3_binary64_11397` `unpow2_binary64_11396` `unpow1/2_binary64_11395` `unpow0_binary64_11390` `unpow1_binary64_11389` `unpow-1_binary64_11388` `exp-lft-cube_binary64_11387` `exp-cbrt_binary64_11385` `exp-sqrt_binary64_11384` `div-exp_binary64_11382` `rec-exp_binary64_11381` `e-exp-1_binary64_11376` `exp-0_binary64_11373` `rem-exp-log_binary64_11371` `cube-mult_binary64_11361` `cube-div_binary64_11360` `cube-neg_binary64_11358` `rem-3cbrt-rft_binary64_11357` `rem-3cbrt-lft_binary64_11356` `rem-cbrt-cube_binary64_11355` `rem-cube-cbrt_binary64_11354` `sqr-abs_binary64_11346` `rem-sqrt-square_binary64_11344` `rem-square-sqrt_binary64_11343` `mul-1-neg_binary64_11323` `/-rgt-identity_binary64_11322` `-inverses_binary64_11311` `lft-mult-inverse_binary64_11309` `rgt-mult-inverse_binary64_11308` `remove-double-div_binary64_11307` `distribute-lft-out_binary64_11282` `associate-/l/_binary64_11278` `associate-/r/_binary64_11277` `associate-/r_binary64_11275` `associate-l/_binary64_11274` `associate-r/_binary64_11273`

Counts

1 → 3

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	28	18
2	55	18
3	97	18
4	226	18
5	473	18
6	703	18
7	1515	18

prune12.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	2	4

Error

0.1b

Counts

4 → 2

Compiler

Compiled 60 to 41 computations (31.7% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
0.2b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite114.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`*-un-lft-identity_binary64_11331`
9×	`pow1_binary64_11392` `add-sqr-sqrt_binary64_11353`
8×	`add-log-exp_binary64_11370` `distribute-lft-out_binary64_11282`
7×	`add-cube-cbrt_binary64_11366` `associate-r_binary64_11271`
5×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367` `associate-+r+_binary64_11263`
4×	`log-pow_binary64_11420` `distribute-lft-out--_binary64_11283` `associate-+l+_binary64_11264`
3×	`flip3-+_binary64_11334` `flip-+_binary64_11305` `associate-l_binary64_11272` `sum-log_binary64_11422` `cancel-sign-sub-inv_binary64_11297` `log-prod_binary64_11417`
2×	`distribute-rgt-in_binary64_11281` `distribute-lft-in_binary64_11280` `associate-*r/_binary64_11273` `+-commutative_binary64_11261`
1×	`pow-prod-down_binary64_11402` `prod-exp_binary64_11380` `cbrt-unprod_binary64_11364` `unswap-sqr_binary64_11299` `*-commutative_binary64_11262` `diff-log_binary64_11423` `associate-+l-_binary64_11266` `sub-neg_binary64_11324`

Counts

3 → 63

Calls

3 calls:

11.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
9.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
7.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

Compiler

Compiled 1231 to 755 computations (38.7% saved)

series783.0ms (3.3%)

Error

0.1b

Counts

3 → 30

Calls

3 calls:

458.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
218.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
82.0ms	(+.f64 (-.f64 1 z) (log.f64 z))

Compiler

Compiled 903 to 665 computations (26.4% saved)

simplify652.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

377×	`associate--r+_binary64_11267`
307×	`associate--l+_binary64_11268`
240×	`sub-neg_binary64_11324`
229×	`*-commutative_binary64_11262`
219×	`unsub-neg_binary64_11325`
216×	`distribute-rgt-neg-in_binary64_11289`
200×	`associate-+l+_binary64_11264`
179×	`distribute-neg-in_binary64_11292` `distribute-lft-neg-in_binary64_11288`
170×	`distribute-lft-neg-out_binary64_11290` `associate-+r+_binary64_11263`
154×	`distribute-rgt-neg-out_binary64_11291`
146×	`neg-mul-1_binary64_11327` `neg-sub0_binary64_11326`
124×	`exp-sum_binary64_11377`
118×	`exp-prod_binary64_11383`
117×	`+-commutative_binary64_11261`
107×	`cancel-sign-sub-inv_binary64_11297`
100×	`distribute-rgt-out_binary64_11284`
99×	`associate-l_binary64_11272`
98×	`distribute-rgt-in_binary64_11281`
96×	`associate-r_binary64_11271`
92×	`sqr-pow_binary64_11303`
90×	`distribute-lft-in_binary64_11280`
89×	`associate--r-_binary64_11270`
72×	`exp-diff_binary64_11379`
64×	`unswap-sqr_binary64_11299`
60×	`associate-/l*_binary64_11276`
55×	`distribute-rgt-out--_binary64_11285`
47×	`associate-+l-_binary64_11266`
41×	`associate-+r-_binary64_11265`
39×	`pow-sqr_binary64_11304`
38×	`log-prod_binary64_11417` `cancel-sign-sub_binary64_11296`
33×	`associate--l-_binary64_11269`
31×	`distribute-neg-out_binary64_11293`
30×	`*-lft-identity_binary64_11320`
28×	`remove-double-neg_binary64_11319`
26×	`div-sub_binary64_11336`
24×	`*-rgt-identity_binary64_11321`
22×	`times-frac_binary64_11337` `associate-/r*_binary64_11275`
21×	`cube-prod_binary64_11359`
20×	`+-rgt-identity_binary64_11316`
15×	`distribute-lft-out_binary64_11282`
11×	`swap-sqr_binary64_11298` `associate-/r/_binary64_11277` `associate-*r/_binary64_11273`
9×	`unpow3_binary64_11397` `sub0-neg_binary64_11318` `distribute-lft1-in_binary64_11286` `associate-/l/_binary64_11278`
8×	`div-exp_binary64_11382` `distribute-lft-out--_binary64_11283`
7×	`exp-to-pow_binary64_11393` `exp-neg_binary64_11378` `cube-mult_binary64_11361`
6×	`log-div_binary64_11418` `difference-of-squares_binary64_11300` `distribute-frac-neg_binary64_11294`
5×	`sqr-neg_binary64_11345` `--rgt-identity_binary64_11317` `associate-*l/_binary64_11274`
3×	`log-pow_binary64_11420` `prod-exp_binary64_11380` `cube-neg_binary64_11358` `count-2_binary64_11279`
2×	`pow-plus_binary64_11394` `pow-base-1_binary64_11391` `cube-unmult_binary64_11368` `rem-sqrt-square_binary64_11344` `mul-1-neg_binary64_11323` `distribute-rgt1-in_binary64_11287`
1×	`log-rec_binary64_11419` `unpow1/2_binary64_11395` `1-exp_binary64_11375` `exp-1-e_binary64_11374` `rem-log-exp_binary64_11372` `rem-exp-log_binary64_11371` `rem-3cbrt-lft_binary64_11356` `rem-square-sqrt_binary64_11343` `/-rgt-identity_binary64_11322` `+-lft-identity_binary64_11315` `difference-of-sqr--1_binary64_11302` `difference-of-sqr-1_binary64_11301`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_11594` `erf-erfc_binary64_11593` `erf-odd_binary64_11592` `if-if-and-not_binary64_11591` `if-if-and_binary64_11590` `if-if-or-not_binary64_11589` `if-if-or_binary64_11588` `if-not_binary64_11587` `if-same_binary64_11586` `if-false_binary64_11585` `if-true_binary64_11584` `not-gte_binary64_11583` `not-lte_binary64_11582` `not-gt_binary64_11581` `not-lt_binary64_11580` `gte-same_binary64_11579` `lte-same_binary64_11578` `gt-same_binary64_11577` `lt-same_binary64_11576` `sinh---cosh_binary64_11523` `sinh-+-cosh_binary64_11522` `sinh-cosh_binary64_11521` `tanh-def-c_binary64_11520` `tanh-def-b_binary64_11519` `tanh-def-a_binary64_11518` `cosh-def_binary64_11517` `sinh-def_binary64_11516` `tan-neg_binary64_11463` `cos-neg_binary64_11462` `sin-neg_binary64_11461` `tan-0_binary64_11460` `cos-0_binary64_11459` `sin-0_binary64_11458` `hang-m-tan_binary64_11457` `hang-p-tan_binary64_11456` `hang-m0-tan_binary64_11455` `hang-p0-tan_binary64_11454` `hang-0m-tan_binary64_11453` `hang-0p-tan_binary64_11452` `tan-+PI/2_binary64_11451` `tan-+PI_binary64_11450` `tan-PI_binary64_11449` `tan-PI/3_binary64_11448` `tan-PI/4_binary64_11447` `tan-PI/6_binary64_11446` `cos-+PI/2_binary64_11445` `cos-+PI_binary64_11444` `cos-PI_binary64_11443` `cos-PI/2_binary64_11442` `cos-PI/3_binary64_11441` `cos-PI/4_binary64_11440` `cos-PI/6_binary64_11439` `sin-+PI/2_binary64_11438` `sin-+PI_binary64_11437` `sin-PI_binary64_11436` `sin-PI/2_binary64_11435` `sin-PI/3_binary64_11434` `sin-PI/4_binary64_11433` `sin-PI/6_binary64_11432` `sub-1-sin_binary64_11431` `sub-1-cos_binary64_11430` `-1-add-sin_binary64_11429` `-1-add-cos_binary64_11428` `1-sub-sin_binary64_11427` `1-sub-cos_binary64_11426` `cos-sin-sum_binary64_11425` `log-E_binary64_11421` `pow-base-0_binary64_11415` `unpow1/3_binary64_11398` `unpow2_binary64_11396` `unpow0_binary64_11390` `unpow1_binary64_11389` `unpow-1_binary64_11388` `exp-lft-cube_binary64_11387` `exp-lft-sqr_binary64_11386` `exp-cbrt_binary64_11385` `exp-sqrt_binary64_11384` `rec-exp_binary64_11381` `e-exp-1_binary64_11376` `exp-0_binary64_11373` `cube-div_binary64_11360` `rem-3cbrt-rft_binary64_11357` `rem-cbrt-cube_binary64_11355` `rem-cube-cbrt_binary64_11354` `sqr-abs_binary64_11346` `mul0-rgt_binary64_11314` `mul0-lft_binary64_11313` `div0_binary64_11312` `*-inverses_binary64_11311` `+-inverses_binary64_11310` `lft-mult-inverse_binary64_11309` `rgt-mult-inverse_binary64_11308` `remove-double-div_binary64_11307` `distribute-neg-frac_binary64_11295`

Counts

93 → 221

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	1371
1	377	1275
2	1251	1271
3	2600	1271

prune290.0ms (1.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	215	6	221
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	216	7	223

Error

0.0b

Counts

223 → 7

Compiler

Compiled 4839 to 2514 computations (48% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x 1/2) (.f64 y (-.f64 z (log.f64 z))))
0.0b	(-.f64 z (log.f64 z))
0.1b	(+.f64 y (-.f64 (.f64 x 1/2) (.f64 y (-.f64 z (log.f64 z)))))
0.2b	(*.f64 y (-.f64 z (log.f64 z)))

rewrite139.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`cancel-sign-sub-inv_binary64_11297`
20×	`*-un-lft-identity_binary64_11331`
18×	`add-sqr-sqrt_binary64_11353`
13×	`pow1_binary64_11392` `associate--r+_binary64_11267`
12×	`add-log-exp_binary64_11370` `add-cube-cbrt_binary64_11366`
10×	`distribute-rgt-in_binary64_11281` `distribute-lft-in_binary64_11280`
7×	`sub-neg_binary64_11324` `log-pow_binary64_11420`
6×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367` `associate-r_binary64_11271`
4×	`distribute-lft-out--_binary64_11283`
3×	`flip3--_binary64_11335` `flip--_binary64_11306` `associate-l_binary64_11272` `diff-log_binary64_11423` `log-prod_binary64_11417`
2×	`associate-*r/_binary64_11273` `difference-of-squares_binary64_11300` `sum-log_binary64_11422` `associate-+r+_binary64_11263`
1×	`pow-prod-down_binary64_11402` `prod-exp_binary64_11380` `cbrt-unprod_binary64_11364` `unswap-sqr_binary64_11299` `*-commutative_binary64_11262` `flip3-+_binary64_11334` `flip-+_binary64_11305` `distribute-lft-out_binary64_11282` `associate-+r-_binary64_11265` `+-commutative_binary64_11261`

Counts

4 → 92

Calls

4 calls:

8.0ms	(*.f64 y (-.f64 z (log.f64 z)))
6.0ms	(+.f64 y (-.f64 (.f64 x 1/2) (.f64 y (-.f64 z (log.f64 z)))))
5.0ms	(-.f64 (.f64 x 1/2) (.f64 y (-.f64 z (log.f64 z))))
5.0ms	(-.f64 z (log.f64 z))

Compiler

Compiled 1806 to 723 computations (60% saved)

series1.2s (5.1%)

Error

0.0b

Counts

4 → 47

Calls

4 calls:

443.0ms	(+.f64 y (-.f64 (.f64 x 1/2) (.f64 y (-.f64 z (log.f64 z)))))
439.0ms	(-.f64 (.f64 x 1/2) (.f64 y (-.f64 z (log.f64 z))))
189.0ms	(*.f64 y (-.f64 z (log.f64 z)))
81.0ms	(-.f64 z (log.f64 z))

Compiler

Compiled 1408 to 972 computations (31% saved)

simplify573.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

290×	`unsub-neg_binary64_11325`
263×	`distribute-rgt-neg-in_binary64_11289`
241×	`sub-neg_binary64_11324`
221×	`cancel-sign-sub-inv_binary64_11297`
216×	`exp-prod_binary64_11383`
211×	`*-commutative_binary64_11262`
205×	`distribute-lft-neg-in_binary64_11288`
172×	`associate--r+_binary64_11267`
168×	`distribute-rgt-neg-out_binary64_11291`
158×	`exp-sum_binary64_11377`
157×	`distribute-lft-neg-out_binary64_11290`
153×	`neg-sub0_binary64_11326`
149×	`neg-mul-1_binary64_11327`
140×	`associate-+l-_binary64_11266`
133×	`associate-+l+_binary64_11264`
131×	`sqr-pow_binary64_11303`
115×	`distribute-neg-in_binary64_11292`
111×	`associate-l_binary64_11272` `associate-+r+_binary64_11263`
104×	`distribute-rgt-out_binary64_11284`
102×	`unswap-sqr_binary64_11299` `associate-r_binary64_11271` `+-commutative_binary64_11261`
99×	`associate--l+_binary64_11268`
90×	`associate--l-_binary64_11269`
84×	`associate-/l*_binary64_11276`
82×	`exp-diff_binary64_11379`
73×	`distribute-rgt-in_binary64_11281`
68×	`distribute-lft-in_binary64_11280`
66×	`times-frac_binary64_11337`
61×	`associate--r-_binary64_11270`
56×	`distribute-rgt-out--_binary64_11285`
54×	`pow-sqr_binary64_11304` `difference-of-squares_binary64_11300`
43×	`cube-prod_binary64_11359`
40×	`distribute-neg-out_binary64_11293`
37×	`cancel-sign-sub_binary64_11296`
35×	`associate-+r-_binary64_11265`
33×	`remove-double-neg_binary64_11319`
31×	`associate-/r*_binary64_11275`
28×	`*-lft-identity_binary64_11320`
27×	`log-prod_binary64_11417`
24×	`*-rgt-identity_binary64_11321`
20×	`+-rgt-identity_binary64_11316`
19×	`swap-sqr_binary64_11298`
18×	`div-sub_binary64_11336` `sub0-neg_binary64_11318`
15×	`associate-/r/_binary64_11277` `associate-*r/_binary64_11273`
13×	`log-pow_binary64_11420` `associate-*l/_binary64_11274`
12×	`unpow3_binary64_11397`
10×	`exp-to-pow_binary64_11393` `exp-neg_binary64_11378` `distribute-lft1-in_binary64_11286` `associate-/l/_binary64_11278`
9×	`div-exp_binary64_11382` `cube-mult_binary64_11361` `--rgt-identity_binary64_11317` `distribute-lft-out_binary64_11282`
8×	`prod-exp_binary64_11380` `distribute-frac-neg_binary64_11294`
6×	`distribute-rgt1-in_binary64_11287`
4×	`cube-unmult_binary64_11368`
3×	`cube-neg_binary64_11358` `sqr-neg_binary64_11345` `mul-1-neg_binary64_11323` `distribute-lft-out--_binary64_11283` `count-2_binary64_11279`
2×	`pow-plus_binary64_11394` `pow-base-1_binary64_11391` `rem-sqrt-square_binary64_11344`
1×	`log-rec_binary64_11419` `log-div_binary64_11418` `unpow1/2_binary64_11395` `1-exp_binary64_11375` `exp-1-e_binary64_11374` `rem-log-exp_binary64_11372` `rem-exp-log_binary64_11371` `rem-3cbrt-lft_binary64_11356` `rem-square-sqrt_binary64_11343` `div0_binary64_11312`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_11594` `erf-erfc_binary64_11593` `erf-odd_binary64_11592` `if-if-and-not_binary64_11591` `if-if-and_binary64_11590` `if-if-or-not_binary64_11589` `if-if-or_binary64_11588` `if-not_binary64_11587` `if-same_binary64_11586` `if-false_binary64_11585` `if-true_binary64_11584` `not-gte_binary64_11583` `not-lte_binary64_11582` `not-gt_binary64_11581` `not-lt_binary64_11580` `gte-same_binary64_11579` `lte-same_binary64_11578` `gt-same_binary64_11577` `lt-same_binary64_11576` `sinh---cosh_binary64_11523` `sinh-+-cosh_binary64_11522` `sinh-cosh_binary64_11521` `tanh-def-c_binary64_11520` `tanh-def-b_binary64_11519` `tanh-def-a_binary64_11518` `cosh-def_binary64_11517` `sinh-def_binary64_11516` `tan-neg_binary64_11463` `cos-neg_binary64_11462` `sin-neg_binary64_11461` `tan-0_binary64_11460` `cos-0_binary64_11459` `sin-0_binary64_11458` `hang-m-tan_binary64_11457` `hang-p-tan_binary64_11456` `hang-m0-tan_binary64_11455` `hang-p0-tan_binary64_11454` `hang-0m-tan_binary64_11453` `hang-0p-tan_binary64_11452` `tan-+PI/2_binary64_11451` `tan-+PI_binary64_11450` `tan-PI_binary64_11449` `tan-PI/3_binary64_11448` `tan-PI/4_binary64_11447` `tan-PI/6_binary64_11446` `cos-+PI/2_binary64_11445` `cos-+PI_binary64_11444` `cos-PI_binary64_11443` `cos-PI/2_binary64_11442` `cos-PI/3_binary64_11441` `cos-PI/4_binary64_11440` `cos-PI/6_binary64_11439` `sin-+PI/2_binary64_11438` `sin-+PI_binary64_11437` `sin-PI_binary64_11436` `sin-PI/2_binary64_11435` `sin-PI/3_binary64_11434` `sin-PI/4_binary64_11433` `sin-PI/6_binary64_11432` `sub-1-sin_binary64_11431` `sub-1-cos_binary64_11430` `-1-add-sin_binary64_11429` `-1-add-cos_binary64_11428` `1-sub-sin_binary64_11427` `1-sub-cos_binary64_11426` `cos-sin-sum_binary64_11425` `log-E_binary64_11421` `pow-base-0_binary64_11415` `unpow1/3_binary64_11398` `unpow2_binary64_11396` `unpow0_binary64_11390` `unpow1_binary64_11389` `unpow-1_binary64_11388` `exp-lft-cube_binary64_11387` `exp-lft-sqr_binary64_11386` `exp-cbrt_binary64_11385` `exp-sqrt_binary64_11384` `rec-exp_binary64_11381` `e-exp-1_binary64_11376` `exp-0_binary64_11373` `cube-div_binary64_11360` `rem-3cbrt-rft_binary64_11357` `rem-cbrt-cube_binary64_11355` `rem-cube-cbrt_binary64_11354` `sqr-abs_binary64_11346` `/-rgt-identity_binary64_11322` `+-lft-identity_binary64_11315` `mul0-rgt_binary64_11314` `mul0-lft_binary64_11313` `*-inverses_binary64_11311` `+-inverses_binary64_11310` `lft-mult-inverse_binary64_11309` `rgt-mult-inverse_binary64_11308` `remove-double-div_binary64_11307` `difference-of-sqr--1_binary64_11302` `difference-of-sqr-1_binary64_11301` `distribute-neg-frac_binary64_11295`

Counts

139 → 271

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	168	1881
1	411	1798
2	1259	1798
3	2575	1795

prune307.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	268	3	271
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	270	8	278

Error

0.0b

Counts

278 → 8

Compiler

Compiled 5720 to 2160 computations (62.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (+.f64 (-.f64 1 z) (*.f64 2 (log.f64 (cbrt.f64 z)))) (log.f64 (cbrt.f64 z)))
0.2b	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 2 (log.f64 (cbrt.f64 z)))) (log.f64 (cbrt.f64 z))))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite147.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`*-un-lft-identity_binary64_11331`
12×	`add-sqr-sqrt_binary64_11353`
10×	`add-log-exp_binary64_11370` `add-cube-cbrt_binary64_11366`
9×	`cbrt-prod_binary64_11362`
8×	`pow1_binary64_11392`
6×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367` `log-prod_binary64_11417` `associate-+r+_binary64_11263`
5×	`associate-r_binary64_11271` `sum-log_binary64_11422`
4×	`distribute-lft-out_binary64_11282`
3×	`associate-l_binary64_11272`
2×	`pow1/3_binary64_11413` `flip3-+_binary64_11334` `associate-*r/_binary64_11273` `flip-+_binary64_11305` `log-pow_binary64_11420` `associate-+l-_binary64_11266`
1×	`pow-prod-down_binary64_11402` `prod-exp_binary64_11380` `cbrt-unprod_binary64_11364` `unswap-sqr_binary64_11299` `distribute-rgt-in_binary64_11281` `distribute-lft-in_binary64_11280` `*-commutative_binary64_11262` `diff-log_binary64_11423` `associate-+l+_binary64_11264` `+-commutative_binary64_11261`

Counts

4 → 69

Calls

4 calls:

13.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 2 (log.f64 (cbrt.f64 z)))) (log.f64 (cbrt.f64 z))))
13.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 2 (log.f64 (cbrt.f64 z)))) (log.f64 (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1905 to 1024 computations (46.2% saved)

series908.0ms (3.9%)

Error

0.0b

Counts

4 → 19

Calls

4 calls:

451.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 2 (log.f64 (cbrt.f64 z)))) (log.f64 (cbrt.f64 z))))
180.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 2 (log.f64 (cbrt.f64 z)))) (log.f64 (cbrt.f64 z)))
132.0ms	(cbrt.f64 z)
118.0ms	(cbrt.f64 z)

Compiler

Compiled 922 to 782 computations (15.2% saved)

simplify491.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

780×	`distribute-rgt-in_binary64_11281`
772×	`distribute-lft-in_binary64_11280`
211×	`associate-+l+_binary64_11264`
129×	`cancel-sign-sub-inv_binary64_11297`
109×	`associate-l_binary64_11272`
104×	`associate-r_binary64_11271`
75×	`sub-neg_binary64_11324`
71×	`associate-+l-_binary64_11266`
61×	`associate-+r-_binary64_11265`
60×	`associate--r+_binary64_11267`
52×	`exp-prod_binary64_11383`
50×	`*-commutative_binary64_11262`
49×	`associate--l+_binary64_11268`
42×	`+-commutative_binary64_11261`
39×	`sqr-pow_binary64_11303`
38×	`distribute-rgt-neg-in_binary64_11289`
29×	`distribute-lft-neg-in_binary64_11288`
24×	`log-prod_binary64_11417`
22×	`distribute-rgt-out_binary64_11284`
20×	`*-rgt-identity_binary64_11321` `associate-+r+_binary64_11263`
19×	`exp-sum_binary64_11377` `associate-/r*_binary64_11275`
17×	`*-lft-identity_binary64_11320` `distribute-neg-in_binary64_11292`
16×	`associate--r-_binary64_11270`
15×	`neg-sub0_binary64_11326` `pow-sqr_binary64_11304` `distribute-rgt-out--_binary64_11285`
14×	`neg-mul-1_binary64_11327`
13×	`distribute-lft-neg-out_binary64_11290`
12×	`distribute-lft-out_binary64_11282`
10×	`log-pow_binary64_11420` `cube-prod_binary64_11359` `unswap-sqr_binary64_11299` `swap-sqr_binary64_11298` `associate-*r/_binary64_11273` `associate--l-_binary64_11269`
8×	`prod-exp_binary64_11380` `unsub-neg_binary64_11325`
7×	`associate-/l_binary64_11276` `associate-l/_binary64_11274`
6×	`distribute-rgt-neg-out_binary64_11291`
5×	`div-exp_binary64_11382` `exp-diff_binary64_11379` `cube-unmult_binary64_11368` `distribute-lft-out--_binary64_11283`
4×	`unpow3_binary64_11397` `cube-mult_binary64_11361`
3×	`log-div_binary64_11418` `exp-to-pow_binary64_11393` `rem-sqrt-square_binary64_11344` `count-2_binary64_11279` `associate-/l/_binary64_11278`
2×	`unpow1/3_binary64_11398` `div-sub_binary64_11336` `mul-1-neg_binary64_11323` `+-rgt-identity_binary64_11316` `+-lft-identity_binary64_11315` `cancel-sign-sub_binary64_11296` `distribute-rgt1-in_binary64_11287` `distribute-lft1-in_binary64_11286`
1×	`log-rec_binary64_11419` `pow-plus_binary64_11394` `exp-lft-sqr_binary64_11386` `1-exp_binary64_11375` `exp-1-e_binary64_11374` `rem-log-exp_binary64_11372` `rem-exp-log_binary64_11371` `rem-3cbrt-lft_binary64_11356` `--rgt-identity_binary64_11317` `difference-of-squares_binary64_11300` `distribute-neg-out_binary64_11293`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_11594` `erf-erfc_binary64_11593` `erf-odd_binary64_11592` `if-if-and-not_binary64_11591` `if-if-and_binary64_11590` `if-if-or-not_binary64_11589` `if-if-or_binary64_11588` `if-not_binary64_11587` `if-same_binary64_11586` `if-false_binary64_11585` `if-true_binary64_11584` `not-gte_binary64_11583` `not-lte_binary64_11582` `not-gt_binary64_11581` `not-lt_binary64_11580` `gte-same_binary64_11579` `lte-same_binary64_11578` `gt-same_binary64_11577` `lt-same_binary64_11576` `sinh---cosh_binary64_11523` `sinh-+-cosh_binary64_11522` `sinh-cosh_binary64_11521` `tanh-def-c_binary64_11520` `tanh-def-b_binary64_11519` `tanh-def-a_binary64_11518` `cosh-def_binary64_11517` `sinh-def_binary64_11516` `tan-neg_binary64_11463` `cos-neg_binary64_11462` `sin-neg_binary64_11461` `tan-0_binary64_11460` `cos-0_binary64_11459` `sin-0_binary64_11458` `hang-m-tan_binary64_11457` `hang-p-tan_binary64_11456` `hang-m0-tan_binary64_11455` `hang-p0-tan_binary64_11454` `hang-0m-tan_binary64_11453` `hang-0p-tan_binary64_11452` `tan-+PI/2_binary64_11451` `tan-+PI_binary64_11450` `tan-PI_binary64_11449` `tan-PI/3_binary64_11448` `tan-PI/4_binary64_11447` `tan-PI/6_binary64_11446` `cos-+PI/2_binary64_11445` `cos-+PI_binary64_11444` `cos-PI_binary64_11443` `cos-PI/2_binary64_11442` `cos-PI/3_binary64_11441` `cos-PI/4_binary64_11440` `cos-PI/6_binary64_11439` `sin-+PI/2_binary64_11438` `sin-+PI_binary64_11437` `sin-PI_binary64_11436` `sin-PI/2_binary64_11435` `sin-PI/3_binary64_11434` `sin-PI/4_binary64_11433` `sin-PI/6_binary64_11432` `sub-1-sin_binary64_11431` `sub-1-cos_binary64_11430` `-1-add-sin_binary64_11429` `-1-add-cos_binary64_11428` `1-sub-sin_binary64_11427` `1-sub-cos_binary64_11426` `cos-sin-sum_binary64_11425` `log-E_binary64_11421` `pow-base-0_binary64_11415` `unpow2_binary64_11396` `unpow1/2_binary64_11395` `pow-base-1_binary64_11391` `unpow0_binary64_11390` `unpow1_binary64_11389` `unpow-1_binary64_11388` `exp-lft-cube_binary64_11387` `exp-cbrt_binary64_11385` `exp-sqrt_binary64_11384` `rec-exp_binary64_11381` `exp-neg_binary64_11378` `e-exp-1_binary64_11376` `exp-0_binary64_11373` `cube-div_binary64_11360` `cube-neg_binary64_11358` `rem-3cbrt-rft_binary64_11357` `rem-cbrt-cube_binary64_11355` `rem-cube-cbrt_binary64_11354` `sqr-abs_binary64_11346` `sqr-neg_binary64_11345` `rem-square-sqrt_binary64_11343` `times-frac_binary64_11337` `/-rgt-identity_binary64_11322` `remove-double-neg_binary64_11319` `sub0-neg_binary64_11318` `mul0-rgt_binary64_11314` `mul0-lft_binary64_11313` `div0_binary64_11312` `*-inverses_binary64_11311` `+-inverses_binary64_11310` `lft-mult-inverse_binary64_11309` `rgt-mult-inverse_binary64_11308` `remove-double-div_binary64_11307` `difference-of-sqr--1_binary64_11302` `difference-of-sqr-1_binary64_11301` `distribute-neg-frac_binary64_11295` `distribute-frac-neg_binary64_11294` `associate-/r/_binary64_11277`

Counts

88 → 218

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	1560
1	313	1371
2	1178	1066

prune404.0ms (1.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	215	3	218
Fresh	5	1	6
Picked	0	1	1
Done	0	1	1
Total	220	6	226

Error

Counts

226 → 6

Compiler

Compiled 6278 to 3641 computations (42% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (.f64 3 (.f64 y (.f64 -1/3 (log.f64 (/.f64 1 z))))) (-.f64 y (.f64 z y)))
0.3b	(.f64 y (.f64 -1/3 (log.f64 (/.f64 1 z))))
0.3b	(.f64 3 (.f64 y (*.f64 -1/3 (log.f64 (/.f64 1 z)))))
0.4b	(*.f64 -1/3 (log.f64 (/.f64 1 z)))

rewrite1.2s (5.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

377×	`distribute-rgt-in_binary64_11281` `distribute-lft-in_binary64_11280`
286×	`log-prod_binary64_11417`
198×	`times-frac_binary64_11337`
164×	`add-sqr-sqrt_binary64_11353`
162×	`add-cube-cbrt_binary64_11366` `*-un-lft-identity_binary64_11331`
104×	`associate-+l+_binary64_11264`
22×	`pow1_binary64_11392` `div-inv_binary64_11328`
20×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
10×	`pow-prod-down_binary64_11402` `prod-exp_binary64_11380` `cbrt-unprod_binary64_11364`
9×	`add-log-exp_binary64_11370` `associate-l_binary64_11272`
8×	`associate-r_binary64_11271`
6×	`distribute-rgt-neg-out_binary64_11291`
3×	`log-rec_binary64_11419` `log-pow_binary64_11420` `*-commutative_binary64_11262`
2×	`sum-log_binary64_11422` `associate-+r+_binary64_11263`
1×	`unswap-sqr_binary64_11299` `inv-pow_binary64_11416` `pow-flip_binary64_11405` `diff-log_binary64_11423` `flip3-+_binary64_11334` `flip-+_binary64_11305` `associate-+r-_binary64_11265` `sub-neg_binary64_11324` `cancel-sign-sub-inv_binary64_11297` `+-commutative_binary64_11261`

Counts

4 → 364

Calls

4 calls:

29.0ms	(+.f64 (.f64 3 (.f64 y (.f64 -1/3 (log.f64 (/.f64 1 z))))) (-.f64 y (.f64 z y)))
15.0ms	(.f64 3 (.f64 y (*.f64 -1/3 (log.f64 (/.f64 1 z)))))
9.0ms	(.f64 y (.f64 -1/3 (log.f64 (/.f64 1 z))))
8.0ms	(*.f64 -1/3 (log.f64 (/.f64 1 z)))

Compiler

Compiled 11854 to 7894 computations (33.4% saved)

series889.0ms (3.8%)

Error

Counts

4 → 23

Calls

4 calls:

255.0ms	(+.f64 (.f64 3 (.f64 y (.f64 -1/3 (log.f64 (/.f64 1 z))))) (-.f64 y (.f64 z y)))
253.0ms	(.f64 3 (.f64 y (*.f64 -1/3 (log.f64 (/.f64 1 z)))))
252.0ms	(.f64 y (.f64 -1/3 (log.f64 (/.f64 1 z))))
105.0ms	(*.f64 -1/3 (log.f64 (/.f64 1 z)))

Compiler

Compiled 1166 to 892 computations (23.5% saved)

simplify1.6s (6.7%)

Algorithm

1×	egg-herbie

Rules

601×	`associate-r_binary64_11271`
592×	`associate-l_binary64_11272`
343×	`distribute-rgt-neg-out_binary64_11291`
336×	`cancel-sign-sub-inv_binary64_11297`
289×	`distribute-lft-neg-out_binary64_11290`
193×	`*-commutative_binary64_11262`
113×	`sub-neg_binary64_11324`
94×	`distribute-rgt-neg-in_binary64_11289`
92×	`associate-+r-_binary64_11265`
90×	`distribute-lft-neg-in_binary64_11288`
82×	`distribute-rgt-out_binary64_11284`
64×	`neg-mul-1_binary64_11327` `neg-sub0_binary64_11326`
62×	`exp-prod_binary64_11383`
57×	`log-prod_binary64_11417`
56×	`*-rgt-identity_binary64_11321`
50×	`*-lft-identity_binary64_11320`
49×	`log-div_binary64_11418`
47×	`cube-prod_binary64_11359`
46×	`+-commutative_binary64_11261`
44×	`swap-sqr_binary64_11298` `distribute-rgt-in_binary64_11281`
43×	`sqr-pow_binary64_11303`
41×	`distribute-rgt-out--_binary64_11285`
38×	`distribute-lft-in_binary64_11280`
27×	`times-frac_binary64_11337`
26×	`distribute-neg-in_binary64_11292`
19×	`cancel-sign-sub_binary64_11296` `associate-/l/_binary64_11278` `associate-+l+_binary64_11264`
17×	`unsub-neg_binary64_11325`
14×	`associate-+l-_binary64_11266`
12×	`associate--l-_binary64_11269`
11×	`log-rec_binary64_11419` `distribute-lft1-in_binary64_11286`
10×	`pow-sqr_binary64_11304` `unswap-sqr_binary64_11299`
9×	`unpow3_binary64_11397`
7×	`exp-sum_binary64_11377` `cube-unmult_binary64_11368` `cube-mult_binary64_11361` `associate-+r+_binary64_11263`
6×	`exp-to-pow_binary64_11393` `mul-1-neg_binary64_11323` `sub0-neg_binary64_11318` `associate-/r/_binary64_11277` `associate-/l*_binary64_11276` `associate--l+_binary64_11268`
5×	`remove-double-neg_binary64_11319` `distribute-rgt1-in_binary64_11287` `associate--r+_binary64_11267`
4×	`exp-diff_binary64_11379` `sqr-neg_binary64_11345` `div-sub_binary64_11336` `/-rgt-identity_binary64_11322` `+-lft-identity_binary64_11315` `distribute-frac-neg_binary64_11294`
3×	`exp-lft-cube_binary64_11387` `div-exp_binary64_11382` `exp-neg_binary64_11378` `cube-neg_binary64_11358` `mul0-rgt_binary64_11314` `distribute-neg-out_binary64_11293` `associate-/r_binary64_11275` `associate-l/_binary64_11274`
2×	`prod-exp_binary64_11380` `+-rgt-identity_binary64_11316` `distribute-neg-frac_binary64_11295` `associate-*r/_binary64_11273` `associate--r-_binary64_11270`
1×	`pow-plus_binary64_11394` `rec-exp_binary64_11381` `1-exp_binary64_11375` `exp-1-e_binary64_11374` `rem-log-exp_binary64_11372` `rem-exp-log_binary64_11371` `cube-div_binary64_11360` `rem-sqrt-square_binary64_11344` `--rgt-identity_binary64_11317` `difference-of-squares_binary64_11300` `count-2_binary64_11279`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_11594` `erf-erfc_binary64_11593` `erf-odd_binary64_11592` `if-if-and-not_binary64_11591` `if-if-and_binary64_11590` `if-if-or-not_binary64_11589` `if-if-or_binary64_11588` `if-not_binary64_11587` `if-same_binary64_11586` `if-false_binary64_11585` `if-true_binary64_11584` `not-gte_binary64_11583` `not-lte_binary64_11582` `not-gt_binary64_11581` `not-lt_binary64_11580` `gte-same_binary64_11579` `lte-same_binary64_11578` `gt-same_binary64_11577` `lt-same_binary64_11576` `sinh---cosh_binary64_11523` `sinh-+-cosh_binary64_11522` `sinh-cosh_binary64_11521` `tanh-def-c_binary64_11520` `tanh-def-b_binary64_11519` `tanh-def-a_binary64_11518` `cosh-def_binary64_11517` `sinh-def_binary64_11516` `tan-neg_binary64_11463` `cos-neg_binary64_11462` `sin-neg_binary64_11461` `tan-0_binary64_11460` `cos-0_binary64_11459` `sin-0_binary64_11458` `hang-m-tan_binary64_11457` `hang-p-tan_binary64_11456` `hang-m0-tan_binary64_11455` `hang-p0-tan_binary64_11454` `hang-0m-tan_binary64_11453` `hang-0p-tan_binary64_11452` `tan-+PI/2_binary64_11451` `tan-+PI_binary64_11450` `tan-PI_binary64_11449` `tan-PI/3_binary64_11448` `tan-PI/4_binary64_11447` `tan-PI/6_binary64_11446` `cos-+PI/2_binary64_11445` `cos-+PI_binary64_11444` `cos-PI_binary64_11443` `cos-PI/2_binary64_11442` `cos-PI/3_binary64_11441` `cos-PI/4_binary64_11440` `cos-PI/6_binary64_11439` `sin-+PI/2_binary64_11438` `sin-+PI_binary64_11437` `sin-PI_binary64_11436` `sin-PI/2_binary64_11435` `sin-PI/3_binary64_11434` `sin-PI/4_binary64_11433` `sin-PI/6_binary64_11432` `sub-1-sin_binary64_11431` `sub-1-cos_binary64_11430` `-1-add-sin_binary64_11429` `-1-add-cos_binary64_11428` `1-sub-sin_binary64_11427` `1-sub-cos_binary64_11426` `cos-sin-sum_binary64_11425` `log-E_binary64_11421` `log-pow_binary64_11420` `pow-base-0_binary64_11415` `unpow1/3_binary64_11398` `unpow2_binary64_11396` `unpow1/2_binary64_11395` `pow-base-1_binary64_11391` `unpow0_binary64_11390` `unpow1_binary64_11389` `unpow-1_binary64_11388` `exp-lft-sqr_binary64_11386` `exp-cbrt_binary64_11385` `exp-sqrt_binary64_11384` `e-exp-1_binary64_11376` `exp-0_binary64_11373` `rem-3cbrt-rft_binary64_11357` `rem-3cbrt-lft_binary64_11356` `rem-cbrt-cube_binary64_11355` `rem-cube-cbrt_binary64_11354` `sqr-abs_binary64_11346` `rem-square-sqrt_binary64_11343` `mul0-lft_binary64_11313` `div0_binary64_11312` `*-inverses_binary64_11311` `+-inverses_binary64_11310` `lft-mult-inverse_binary64_11309` `rgt-mult-inverse_binary64_11308` `remove-double-div_binary64_11307` `difference-of-sqr--1_binary64_11302` `difference-of-sqr-1_binary64_11301` `distribute-lft-out--_binary64_11283` `distribute-lft-out_binary64_11282`

Counts

387 → 2535

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	544	9995
1	811	9659
2	2690	9167

prune10.3s (43.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	2535	0	2535
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	2535	6	2541

Error

Counts

2541 → 6

Compiler

Compiled 80036 to 49348 computations (38.3% saved)

regimes911.0ms (3.9%)

Accuracy

Total 0.1b remaining (97.5%)

Threshold costs 0.1b (97.5%)

Compiler

Compiled 8429 to 6688 computations (20.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64_11261`
3×	`*-commutative_binary64_11262`
2×	`sub-neg_binary64_11324`
1×	`1-exp_binary64_11375` `neg-mul-1_binary64_11327` `neg-sub0_binary64_11326`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_11591` `if-if-and_binary64_11590` `if-if-or-not_binary64_11589` `if-if-or_binary64_11588` `if-not_binary64_11587` `if-same_binary64_11586` `if-false_binary64_11585` `if-true_binary64_11584` `tan-0_binary64_11460` `cos-0_binary64_11459` `sin-0_binary64_11458` `unpow1_binary64_11389` `e-exp-1_binary64_11376` `exp-1-e_binary64_11374` `exp-0_binary64_11373` `sqr-abs_binary64_11346` `sqr-neg_binary64_11345` `unsub-neg_binary64_11325` `mul-1-neg_binary64_11323` `/-rgt-identity_binary64_11322` `-rgt-identity_binary64_11321` `-lft-identity_binary64_11320` `remove-double-neg_binary64_11319` `sub0-neg_binary64_11318` `--rgt-identity_binary64_11317` `+-rgt-identity_binary64_11316` `+-lft-identity_binary64_11315` `cancel-sign-sub-inv_binary64_11297` `cancel-sign-sub_binary64_11296` `distribute-neg-frac_binary64_11295` `distribute-frac-neg_binary64_11294` `distribute-neg-out_binary64_11293` `distribute-neg-in_binary64_11292` `distribute-rgt-neg-out_binary64_11291` `distribute-lft-neg-out_binary64_11290` `distribute-rgt-neg-in_binary64_11289` `distribute-lft-neg-in_binary64_11288`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	20	18
2	24	18
3	26	18
4	27	18

Proof

(+ f64 (* f64 h0 1/2) (* f64 h1 (+ f64 (- f64 1 h2) (log f64 h2))))

end0.0ms (0%)

sample1.8s (7.8%)

Algorithm

1×

intervals

Results

388.0ms	8000×	body	128	valid
14.0ms	311×	body	128	invalid
3.0ms	71×	body	128	nan

Compiler

Compiled 1232 to 980 computations (20.5% saved)

Details

analyze184.0ms (0.8%)

sample24.0ms (0.1%)

simplify470.0ms (2%)

prune12.0ms (0.1%)

localize9.0ms (0%)

rewrite114.0ms (0.5%)

series783.0ms (3.3%)

simplify652.0ms (2.8%)

prune290.0ms (1.2%)

localize10.0ms (0%)

rewrite139.0ms (0.6%)

series1.2s (5.1%)

simplify573.0ms (2.5%)

prune307.0ms (1.3%)

localize14.0ms (0.1%)

rewrite147.0ms (0.6%)

series908.0ms (3.9%)

simplify491.0ms (2.1%)

prune404.0ms (1.7%)

localize16.0ms (0.1%)

rewrite1.2s (5.1%)

series889.0ms (3.8%)

simplify1.6s (6.7%)

prune10.3s (43.9%)

regimes911.0ms (3.9%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.8s (7.8%)

Profiling