Details

analyze68.0ms (2.2%)

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%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
43.7%	40.6%	15.7%	7
56.2%	23.4%	20.4%	8
57.8%	21.1%	21.2%	9
64%	12.5%	23.5%	10
64.8%	10.7%	24.5%	11
67.9%	6.4%	25.7%	12
68.3%	5.4%	26.3%	13
69.9%	3.3%	26.9%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample15.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify1.3s (41.4%)

Algorithm

1×	egg-herbie

Rules

691×	`cube-prod_binary64_10336`
505×	`distribute-rgt-out_binary64_10261`
454×	`associate-+l+_binary64_10241`
430×	`sub-neg_binary64_10301`
396×	`associate--l+_binary64_10245`
387×	`associate-+r+_binary64_10240`
381×	`distribute-rgt-out--_binary64_10262`
380×	`distribute-lft-out_binary64_10259`
377×	`associate--r+_binary64_10244`
335×	`distribute-lft-out--_binary64_10260`
252×	`associate-+l-_binary64_10243`
234×	`cancel-sign-sub-inv_binary64_10274`
202×	`+-commutative_binary64_10238`
170×	`distribute-rgt-in_binary64_10258`
147×	`distribute-rgt1-in_binary64_10264`
141×	`unsub-neg_binary64_10302`
127×	`associate-+r-_binary64_10242`
95×	`associate--r-_binary64_10247`
72×	`distribute-lft-in_binary64_10257`
49×	`exp-sum_binary64_10354`
47×	`distribute-rgt-neg-in_binary64_10266`
41×	`swap-sqr_binary64_10275`
40×	`neg-mul-1_binary64_10304` `neg-sub0_binary64_10303` `distribute-lft1-in_binary64_10263` `associate--l-_binary64_10246`
36×	`distribute-lft-neg-in_binary64_10265`
34×	`associate-l_binary64_10249`
33×	`distribute-neg-in_binary64_10269`
32×	`distribute-rgt-neg-out_binary64_10268` `associate-r_binary64_10248` `*-commutative_binary64_10239`
27×	`exp-diff_binary64_10356`
21×	`count-2_binary64_10256`
20×	`+-inverses_binary64_10287`
19×	`+-lft-identity_binary64_10292` `distribute-lft-neg-out_binary64_10267`
16×	`sub0-neg_binary64_10295` `+-rgt-identity_binary64_10293`
13×	`distribute-neg-out_binary64_10270`
12×	`mul0-lft_binary64_10290`
10×	`mul0-rgt_binary64_10291`
9×	`remove-double-neg_binary64_10296`
8×	`--rgt-identity_binary64_10294`
6×	`difference-of-squares_binary64_10277`
4×	`cube-unmult_binary64_10345`
3×	`exp-neg_binary64_10355`
2×	`exp-lft-sqr_binary64_10363`
1×	`pow-plus_binary64_10371` `1-exp_binary64_10352` `sqr-neg_binary64_10322` `difference-of-sqr--1_binary64_10279`
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_10571` `erf-erfc_binary64_10570` `erf-odd_binary64_10569` `if-if-and-not_binary64_10568` `if-if-and_binary64_10567` `if-if-or-not_binary64_10566` `if-if-or_binary64_10565` `if-not_binary64_10564` `if-same_binary64_10563` `if-false_binary64_10562` `if-true_binary64_10561` `not-gte_binary64_10560` `not-lte_binary64_10559` `not-gt_binary64_10558` `not-lt_binary64_10557` `gte-same_binary64_10556` `lte-same_binary64_10555` `gt-same_binary64_10554` `lt-same_binary64_10553` `sinh---cosh_binary64_10500` `sinh-+-cosh_binary64_10499` `sinh-cosh_binary64_10498` `tanh-def-c_binary64_10497` `tanh-def-b_binary64_10496` `tanh-def-a_binary64_10495` `cosh-def_binary64_10494` `sinh-def_binary64_10493` `tan-neg_binary64_10440` `cos-neg_binary64_10439` `sin-neg_binary64_10438` `tan-0_binary64_10437` `cos-0_binary64_10436` `sin-0_binary64_10435` `hang-m-tan_binary64_10434` `hang-p-tan_binary64_10433` `hang-m0-tan_binary64_10432` `hang-p0-tan_binary64_10431` `hang-0m-tan_binary64_10430` `hang-0p-tan_binary64_10429` `tan-+PI/2_binary64_10428` `tan-+PI_binary64_10427` `tan-PI_binary64_10426` `tan-PI/3_binary64_10425` `tan-PI/4_binary64_10424` `tan-PI/6_binary64_10423` `cos-+PI/2_binary64_10422` `cos-+PI_binary64_10421` `cos-PI_binary64_10420` `cos-PI/2_binary64_10419` `cos-PI/3_binary64_10418` `cos-PI/4_binary64_10417` `cos-PI/6_binary64_10416` `sin-+PI/2_binary64_10415` `sin-+PI_binary64_10414` `sin-PI_binary64_10413` `sin-PI/2_binary64_10412` `sin-PI/3_binary64_10411` `sin-PI/4_binary64_10410` `sin-PI/6_binary64_10409` `sub-1-sin_binary64_10408` `sub-1-cos_binary64_10407` `-1-add-sin_binary64_10406` `-1-add-cos_binary64_10405` `1-sub-sin_binary64_10404` `1-sub-cos_binary64_10403` `cos-sin-sum_binary64_10402` `log-E_binary64_10398` `log-pow_binary64_10397` `log-rec_binary64_10396` `log-div_binary64_10395` `log-prod_binary64_10394` `pow-base-0_binary64_10392` `unpow1/3_binary64_10375` `unpow3_binary64_10374` `unpow2_binary64_10373` `unpow1/2_binary64_10372` `exp-to-pow_binary64_10370` `pow-base-1_binary64_10368` `unpow0_binary64_10367` `unpow1_binary64_10366` `unpow-1_binary64_10365` `exp-lft-cube_binary64_10364` `exp-cbrt_binary64_10362` `exp-sqrt_binary64_10361` `exp-prod_binary64_10360` `div-exp_binary64_10359` `rec-exp_binary64_10358` `prod-exp_binary64_10357` `e-exp-1_binary64_10353` `exp-1-e_binary64_10351` `exp-0_binary64_10350` `rem-log-exp_binary64_10349` `rem-exp-log_binary64_10348` `cube-mult_binary64_10338` `cube-div_binary64_10337` `cube-neg_binary64_10335` `rem-3cbrt-rft_binary64_10334` `rem-3cbrt-lft_binary64_10333` `rem-cbrt-cube_binary64_10332` `rem-cube-cbrt_binary64_10331` `sqr-abs_binary64_10323` `rem-sqrt-square_binary64_10321` `rem-square-sqrt_binary64_10320` `times-frac_binary64_10314` `div-sub_binary64_10313` `mul-1-neg_binary64_10300` `/-rgt-identity_binary64_10299` `-rgt-identity_binary64_10298` `-lft-identity_binary64_10297` `div0_binary64_10289` `-inverses_binary64_10288` `lft-mult-inverse_binary64_10286` `rgt-mult-inverse_binary64_10285` `remove-double-div_binary64_10284` `pow-sqr_binary64_10281` `sqr-pow_binary64_10280` `difference-of-sqr-1_binary64_10278` `unswap-sqr_binary64_10276` `cancel-sign-sub_binary64_10273` `distribute-neg-frac_binary64_10272` `distribute-frac-neg_binary64_10271` `associate-/l/_binary64_10255` `associate-/r/_binary64_10254` `associate-/l_binary64_10253` `associate-/r_binary64_10252` `associate-l/_binary64_10251` `associate-*r/_binary64_10250`

Counts

1 → 4

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	17	10
2	39	10
3	79	10
4	134	10
5	169	10
6	376	10
7	2312	10
8	4760	10

prune9.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	3	2	5

Error

Counts

5 → 2

Compiler

Compiled 44 to 27 computations (38.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 2 x) (-.f64 x y))

rewrite33.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`pow1_binary64_10369` `add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344` `add-sqr-sqrt_binary64_10330` `*-un-lft-identity_binary64_10308` `cancel-sign-sub-inv_binary64_10274`
5×	`associate-r_binary64_10248`
4×	`add-cube-cbrt_binary64_10343` `distribute-rgt-in_binary64_10258` `distribute-lft-in_binary64_10257`
3×	`pow-prod-down_binary64_10379` `prod-exp_binary64_10357` `cbrt-unprod_binary64_10341`
2×	`sub-neg_binary64_10301` `associate-*r/_binary64_10250`
1×	`add-log-exp_binary64_10347` `flip3--_binary64_10312` `flip--_binary64_10283` `associate-l_binary64_10249` `difference-of-squares_binary64_10277` `distribute-lft-out--_binary64_10260` `*-commutative_binary64_10239`

Counts

1 → 30

Calls

1 calls:

8.0ms

(*.f64 (*.f64 2 x) (-.f64 x y))

Compiler

Compiled 428 to 225 computations (47.4% saved)

series152.0ms (4.8%)

Error

Counts

1 → 12

Calls

1 calls:

144.0ms

(*.f64 (*.f64 2 x) (-.f64 x y))

Compiler

Compiled 258 to 216 computations (16.3% saved)

simplify191.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

623×	`associate-*l/_binary64_10251`
497×	`associate-*r/_binary64_10250`
262×	`times-frac_binary64_10314`
242×	`unsub-neg_binary64_10302` `*-commutative_binary64_10239`
225×	`distribute-rgt-neg-out_binary64_10268`
218×	`distribute-lft-neg-out_binary64_10267`
205×	`distribute-rgt-in_binary64_10258`
195×	`distribute-lft-in_binary64_10257`
171×	`associate-l_binary64_10249`
135×	`associate-r_binary64_10248`
131×	`associate-/l*_binary64_10253`
107×	`unswap-sqr_binary64_10276`
94×	`exp-prod_binary64_10360`
73×	`associate-/r*_binary64_10252`
63×	`associate-/r/_binary64_10254`
62×	`neg-sub0_binary64_10303`
58×	`neg-mul-1_binary64_10304`
57×	`sqr-pow_binary64_10280`
49×	`cancel-sign-sub-inv_binary64_10274` `distribute-rgt-neg-in_binary64_10266`
46×	`distribute-lft-neg-in_binary64_10265`
40×	`sub-neg_binary64_10301`
34×	`swap-sqr_binary64_10275`
33×	`*-lft-identity_binary64_10297`
32×	`*-rgt-identity_binary64_10298`
31×	`cube-prod_binary64_10336`
30×	`log-prod_binary64_10394` `exp-sum_binary64_10354`
25×	`difference-of-squares_binary64_10277`
24×	`pow-sqr_binary64_10281`
21×	`distribute-rgt-out_binary64_10261`
19×	`mul0-rgt_binary64_10291` `mul0-lft_binary64_10290`
18×	`+-commutative_binary64_10238`
16×	`associate-/l/_binary64_10255`
15×	`exp-diff_binary64_10356`
13×	`exp-sqrt_binary64_10361`
12×	`distribute-neg-out_binary64_10270`
10×	`distribute-neg-frac_binary64_10272` `associate-+r+_binary64_10240`
9×	`pow-plus_binary64_10371` `cube-div_binary64_10337` `distribute-rgt-out--_binary64_10262` `associate-+l+_binary64_10241`
8×	`associate-+r-_binary64_10242`
7×	`unpow3_binary64_10374` `exp-lft-sqr_binary64_10363` `exp-neg_binary64_10355` `div-sub_binary64_10313`
6×	`log-div_binary64_10395` `cube-unmult_binary64_10345` `associate-+l-_binary64_10243`
4×	`cube-mult_binary64_10338` `sub0-neg_binary64_10295` `+-rgt-identity_binary64_10293` `distribute-frac-neg_binary64_10271`
3×	`prod-exp_binary64_10357` `distribute-rgt1-in_binary64_10264`
2×	`log-pow_binary64_10397` `rem-sqrt-square_binary64_10321` `distribute-neg-in_binary64_10269` `distribute-lft-out_binary64_10259`
1×	`unpow2_binary64_10373` `unpow1_binary64_10366` `1-exp_binary64_10352` `exp-1-e_binary64_10351` `rem-log-exp_binary64_10349` `rem-3cbrt-lft_binary64_10333` `sqr-neg_binary64_10322` `rem-square-sqrt_binary64_10320` `*-inverses_binary64_10288` `rgt-mult-inverse_binary64_10285` `cancel-sign-sub_binary64_10273` `distribute-lft-out--_binary64_10260` `count-2_binary64_10256`
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_10571` `erf-erfc_binary64_10570` `erf-odd_binary64_10569` `if-if-and-not_binary64_10568` `if-if-and_binary64_10567` `if-if-or-not_binary64_10566` `if-if-or_binary64_10565` `if-not_binary64_10564` `if-same_binary64_10563` `if-false_binary64_10562` `if-true_binary64_10561` `not-gte_binary64_10560` `not-lte_binary64_10559` `not-gt_binary64_10558` `not-lt_binary64_10557` `gte-same_binary64_10556` `lte-same_binary64_10555` `gt-same_binary64_10554` `lt-same_binary64_10553` `sinh---cosh_binary64_10500` `sinh-+-cosh_binary64_10499` `sinh-cosh_binary64_10498` `tanh-def-c_binary64_10497` `tanh-def-b_binary64_10496` `tanh-def-a_binary64_10495` `cosh-def_binary64_10494` `sinh-def_binary64_10493` `tan-neg_binary64_10440` `cos-neg_binary64_10439` `sin-neg_binary64_10438` `tan-0_binary64_10437` `cos-0_binary64_10436` `sin-0_binary64_10435` `hang-m-tan_binary64_10434` `hang-p-tan_binary64_10433` `hang-m0-tan_binary64_10432` `hang-p0-tan_binary64_10431` `hang-0m-tan_binary64_10430` `hang-0p-tan_binary64_10429` `tan-+PI/2_binary64_10428` `tan-+PI_binary64_10427` `tan-PI_binary64_10426` `tan-PI/3_binary64_10425` `tan-PI/4_binary64_10424` `tan-PI/6_binary64_10423` `cos-+PI/2_binary64_10422` `cos-+PI_binary64_10421` `cos-PI_binary64_10420` `cos-PI/2_binary64_10419` `cos-PI/3_binary64_10418` `cos-PI/4_binary64_10417` `cos-PI/6_binary64_10416` `sin-+PI/2_binary64_10415` `sin-+PI_binary64_10414` `sin-PI_binary64_10413` `sin-PI/2_binary64_10412` `sin-PI/3_binary64_10411` `sin-PI/4_binary64_10410` `sin-PI/6_binary64_10409` `sub-1-sin_binary64_10408` `sub-1-cos_binary64_10407` `-1-add-sin_binary64_10406` `-1-add-cos_binary64_10405` `1-sub-sin_binary64_10404` `1-sub-cos_binary64_10403` `cos-sin-sum_binary64_10402` `log-E_binary64_10398` `log-rec_binary64_10396` `pow-base-0_binary64_10392` `unpow1/3_binary64_10375` `unpow1/2_binary64_10372` `exp-to-pow_binary64_10370` `pow-base-1_binary64_10368` `unpow0_binary64_10367` `unpow-1_binary64_10365` `exp-lft-cube_binary64_10364` `exp-cbrt_binary64_10362` `div-exp_binary64_10359` `rec-exp_binary64_10358` `e-exp-1_binary64_10353` `exp-0_binary64_10350` `rem-exp-log_binary64_10348` `cube-neg_binary64_10335` `rem-3cbrt-rft_binary64_10334` `rem-cbrt-cube_binary64_10332` `rem-cube-cbrt_binary64_10331` `sqr-abs_binary64_10323` `mul-1-neg_binary64_10300` `/-rgt-identity_binary64_10299` `remove-double-neg_binary64_10296` `--rgt-identity_binary64_10294` `+-lft-identity_binary64_10292` `div0_binary64_10289` `+-inverses_binary64_10287` `lft-mult-inverse_binary64_10286` `remove-double-div_binary64_10284` `difference-of-sqr--1_binary64_10279` `difference-of-sqr-1_binary64_10278` `distribute-lft1-in_binary64_10263` `associate--r-_binary64_10247` `associate--l-_binary64_10246` `associate--l+_binary64_10245` `associate--r+_binary64_10244`

Counts

42 → 191

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	78	579
1	231	492
2	759	492
3	1814	492

prune138.0ms (4.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	191	2	193

Error

Counts

193 → 2

Compiler

Compiled 2496 to 1179 computations (52.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 x y))
0.0b	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

rewrite41.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_10330`
4×	`pow1_binary64_10369` `add-exp-log_binary64_10346` `add-log-exp_binary64_10347` `add-cbrt-cube_binary64_10344` `add-cube-cbrt_binary64_10343` `-un-lft-identity_binary64_10308` `associate-r*_binary64_10248`
3×	`sub-neg_binary64_10301` `cancel-sign-sub-inv_binary64_10274` `associate-l_binary64_10249`
2×	`distribute-rgt-in_binary64_10258` `distribute-lft-in_binary64_10257` `flip3--_binary64_10312` `associate-*r/_binary64_10250` `flip--_binary64_10283` `distribute-lft-out--_binary64_10260`
1×	`pow-prod-down_binary64_10379` `prod-exp_binary64_10357` `cbrt-unprod_binary64_10341` `unswap-sqr_binary64_10276` `*-commutative_binary64_10239` `diff-log_binary64_10400`

Counts

2 → 38

Calls

2 calls:

7.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
6.0ms	(-.f64 (.f64 x x) (.f64 x y))

Compiler

Compiled 645 to 202 computations (68.7% saved)

series292.0ms (9.3%)

Error

Counts

2 → 24

Calls

2 calls:

169.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
110.0ms	(-.f64 (.f64 x x) (.f64 x y))

Compiler

Compiled 492 to 405 computations (17.7% saved)

simplify217.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

339×	`associate-/l*_binary64_10253`
315×	`*-commutative_binary64_10239`
264×	`exp-prod_binary64_10360`
239×	`associate-/r*_binary64_10252`
178×	`distribute-rgt-in_binary64_10258`
176×	`distribute-lft-in_binary64_10257`
157×	`associate-/r/_binary64_10254`
127×	`distribute-lft-neg-out_binary64_10267`
119×	`cancel-sign-sub-inv_binary64_10274` `distribute-rgt-neg-out_binary64_10268`
112×	`distribute-rgt-neg-in_binary64_10266`
107×	`log-div_binary64_10395`
103×	`distribute-lft-neg-in_binary64_10265`
101×	`associate-+l+_binary64_10241`
100×	`associate-+r+_binary64_10240`
97×	`associate-l_binary64_10249`
96×	`unswap-sqr_binary64_10276`
93×	`log-prod_binary64_10394`
87×	`sqr-pow_binary64_10280`
83×	`associate-r_binary64_10248`
82×	`associate-/l/_binary64_10255`
75×	`unsub-neg_binary64_10302`
73×	`+-commutative_binary64_10238`
65×	`distribute-rgt-out_binary64_10261`
64×	`swap-sqr_binary64_10275`
60×	`associate-*l/_binary64_10251`
51×	`neg-mul-1_binary64_10304`
50×	`neg-sub0_binary64_10303` `sub-neg_binary64_10301`
48×	`exp-sqrt_binary64_10361`
43×	`associate--l+_binary64_10245`
41×	`cube-prod_binary64_10336` `associate--l-_binary64_10246`
38×	`exp-lft-sqr_binary64_10363` `associate-+l-_binary64_10243`
33×	`div-sub_binary64_10313`
31×	`exp-sum_binary64_10354` `-rgt-identity_binary64_10298` `-lft-identity_binary64_10297` `pow-sqr_binary64_10281`
30×	`distribute-lft-out_binary64_10259`
29×	`times-frac_binary64_10314`
28×	`difference-of-squares_binary64_10277`
25×	`prod-exp_binary64_10357` `associate-+r-_binary64_10242`
23×	`pow-plus_binary64_10371`
22×	`distribute-rgt-out--_binary64_10262`
21×	`associate-*r/_binary64_10250`
20×	`distribute-neg-frac_binary64_10272`
19×	`cube-div_binary64_10337`
18×	`unpow3_binary64_10374`
17×	`div-exp_binary64_10359`
15×	`exp-diff_binary64_10356`
13×	`log-rec_binary64_10396` `exp-to-pow_binary64_10370`
12×	`mul0-rgt_binary64_10291` `mul0-lft_binary64_10290` `distribute-lft-out--_binary64_10260`
8×	`distribute-neg-out_binary64_10270`
6×	`cube-unmult_binary64_10345` `cube-mult_binary64_10338`
5×	`log-pow_binary64_10397` `sub0-neg_binary64_10295` `+-rgt-identity_binary64_10293`
4×	`distribute-rgt1-in_binary64_10264` `distribute-lft1-in_binary64_10263`
3×	`distribute-neg-in_binary64_10269` `associate--r+_binary64_10244`
2×	`unpow2_binary64_10373` `unpow1_binary64_10366` `rec-exp_binary64_10358` `sqr-neg_binary64_10322` `/-rgt-identity_binary64_10299` `count-2_binary64_10256`
1×	`pow-base-1_binary64_10368` `exp-neg_binary64_10355` `1-exp_binary64_10352` `exp-1-e_binary64_10351` `rem-log-exp_binary64_10349` `rem-sqrt-square_binary64_10321` `*-inverses_binary64_10288`
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_10571` `erf-erfc_binary64_10570` `erf-odd_binary64_10569` `if-if-and-not_binary64_10568` `if-if-and_binary64_10567` `if-if-or-not_binary64_10566` `if-if-or_binary64_10565` `if-not_binary64_10564` `if-same_binary64_10563` `if-false_binary64_10562` `if-true_binary64_10561` `not-gte_binary64_10560` `not-lte_binary64_10559` `not-gt_binary64_10558` `not-lt_binary64_10557` `gte-same_binary64_10556` `lte-same_binary64_10555` `gt-same_binary64_10554` `lt-same_binary64_10553` `sinh---cosh_binary64_10500` `sinh-+-cosh_binary64_10499` `sinh-cosh_binary64_10498` `tanh-def-c_binary64_10497` `tanh-def-b_binary64_10496` `tanh-def-a_binary64_10495` `cosh-def_binary64_10494` `sinh-def_binary64_10493` `tan-neg_binary64_10440` `cos-neg_binary64_10439` `sin-neg_binary64_10438` `tan-0_binary64_10437` `cos-0_binary64_10436` `sin-0_binary64_10435` `hang-m-tan_binary64_10434` `hang-p-tan_binary64_10433` `hang-m0-tan_binary64_10432` `hang-p0-tan_binary64_10431` `hang-0m-tan_binary64_10430` `hang-0p-tan_binary64_10429` `tan-+PI/2_binary64_10428` `tan-+PI_binary64_10427` `tan-PI_binary64_10426` `tan-PI/3_binary64_10425` `tan-PI/4_binary64_10424` `tan-PI/6_binary64_10423` `cos-+PI/2_binary64_10422` `cos-+PI_binary64_10421` `cos-PI_binary64_10420` `cos-PI/2_binary64_10419` `cos-PI/3_binary64_10418` `cos-PI/4_binary64_10417` `cos-PI/6_binary64_10416` `sin-+PI/2_binary64_10415` `sin-+PI_binary64_10414` `sin-PI_binary64_10413` `sin-PI/2_binary64_10412` `sin-PI/3_binary64_10411` `sin-PI/4_binary64_10410` `sin-PI/6_binary64_10409` `sub-1-sin_binary64_10408` `sub-1-cos_binary64_10407` `-1-add-sin_binary64_10406` `-1-add-cos_binary64_10405` `1-sub-sin_binary64_10404` `1-sub-cos_binary64_10403` `cos-sin-sum_binary64_10402` `log-E_binary64_10398` `pow-base-0_binary64_10392` `unpow1/3_binary64_10375` `unpow1/2_binary64_10372` `unpow0_binary64_10367` `unpow-1_binary64_10365` `exp-lft-cube_binary64_10364` `exp-cbrt_binary64_10362` `e-exp-1_binary64_10353` `exp-0_binary64_10350` `rem-exp-log_binary64_10348` `cube-neg_binary64_10335` `rem-3cbrt-rft_binary64_10334` `rem-3cbrt-lft_binary64_10333` `rem-cbrt-cube_binary64_10332` `rem-cube-cbrt_binary64_10331` `sqr-abs_binary64_10323` `rem-square-sqrt_binary64_10320` `mul-1-neg_binary64_10300` `remove-double-neg_binary64_10296` `--rgt-identity_binary64_10294` `+-lft-identity_binary64_10292` `div0_binary64_10289` `+-inverses_binary64_10287` `lft-mult-inverse_binary64_10286` `rgt-mult-inverse_binary64_10285` `remove-double-div_binary64_10284` `difference-of-sqr--1_binary64_10279` `difference-of-sqr-1_binary64_10278` `cancel-sign-sub_binary64_10273` `distribute-frac-neg_binary64_10271` `associate--r-_binary64_10247`

Counts

62 → 122

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	733
1	175	673
2	664	670
3	1824	670
4	4521	670

prune92.0ms (2.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	122	2	124

Error

Counts

124 → 2

Compiler

Compiled 1738 to 688 computations (60.4% saved)

regimes55.0ms (1.8%)

Accuracy

Total 0.0b remaining (64.8%)

Threshold costs 0.0b (64.8%)

Compiler

Compiled 208 to 192 computations (7.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_10239`
2×	`sub-neg_binary64_10301` `+-commutative_binary64_10238`
1×	`neg-mul-1_binary64_10304` `neg-sub0_binary64_10303`
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_10568` `if-if-and_binary64_10567` `if-if-or-not_binary64_10566` `if-if-or_binary64_10565` `if-not_binary64_10564` `if-same_binary64_10563` `if-false_binary64_10562` `if-true_binary64_10561` `tan-0_binary64_10437` `cos-0_binary64_10436` `sin-0_binary64_10435` `unpow1_binary64_10366` `e-exp-1_binary64_10353` `1-exp_binary64_10352` `exp-1-e_binary64_10351` `exp-0_binary64_10350` `sqr-abs_binary64_10323` `sqr-neg_binary64_10322` `unsub-neg_binary64_10302` `mul-1-neg_binary64_10300` `/-rgt-identity_binary64_10299` `-rgt-identity_binary64_10298` `-lft-identity_binary64_10297` `remove-double-neg_binary64_10296` `sub0-neg_binary64_10295` `--rgt-identity_binary64_10294` `+-rgt-identity_binary64_10293` `+-lft-identity_binary64_10292` `cancel-sign-sub-inv_binary64_10274` `cancel-sign-sub_binary64_10273` `distribute-neg-frac_binary64_10272` `distribute-frac-neg_binary64_10271` `distribute-neg-out_binary64_10270` `distribute-neg-in_binary64_10269` `distribute-rgt-neg-out_binary64_10268` `distribute-lft-neg-out_binary64_10267` `distribute-rgt-neg-in_binary64_10266` `distribute-lft-neg-in_binary64_10265`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	16	10
3	18	10
4	19	10

Proof

(* f64 (* f64 2 h0) (- f64 h0 h1))

end0.0ms (0%)

sample527.0ms (16.7%)

Algorithm

1×

intervals

Results

209.0ms	8000×	body	128	valid
4.0ms	161×	body	128	invalid

Compiler

Compiled 67 to 62 computations (7.5% saved)

Details

analyze68.0ms (2.2%)

sample15.0ms (0.5%)

simplify1.3s (41.4%)

prune9.0ms (0.3%)

localize5.0ms (0.1%)

rewrite33.0ms (1%)

series152.0ms (4.8%)

simplify191.0ms (6.1%)

prune138.0ms (4.4%)

localize6.0ms (0.2%)

rewrite41.0ms (1.3%)

series292.0ms (9.3%)

simplify217.0ms (6.9%)

prune92.0ms (2.9%)

regimes55.0ms (1.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample527.0ms (16.7%)

Profiling