Details

analyze427.0ms (5.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

645×	`distribute-neg-in_binary64`
626×	`cancel-sign-sub-inv_binary64`
499×	`+-commutative_binary64`
493×	`*-commutative_binary64`
423×	`associate-+l-_binary64`
387×	`distribute-lft-out--_binary64`
374×	`neg-mul-1_binary64`
340×	`unsub-neg_binary64`
319×	`associate--r+_binary64`
294×	`associate-+l+_binary64`
244×	`neg-sub0_binary64`
224×	`associate--l+_binary64`
219×	`sub-neg_binary64`
218×	`associate-+r+_binary64`
210×	`sub0-neg_binary64`
192×	`cancel-sign-sub_binary64`
190×	`associate-+r-_binary64`
153×	`associate--r-_binary64`
128×	`distribute-rgt-neg-in_binary64`
126×	`distribute-lft-neg-in_binary64`
119×	`remove-double-neg_binary64`
105×	`+-rgt-identity_binary64`
98×	`distribute-rgt-neg-out_binary64`
46×	`+-lft-identity_binary64`
40×	`*-lft-identity_binary64` `distribute-lft-neg-out_binary64`
39×	`distribute-neg-out_binary64`
36×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
35×	`associate--l-_binary64`
33×	`--rgt-identity_binary64`
32×	`distribute-rgt-out_binary64`
20×	`log-prod_binary64`
18×	`distribute-rgt-out--_binary64`
8×	`mul-1-neg_binary64`
1×	`1-exp_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	182
1	104	182
2	233	182
3	561	182
4	1421	182
5	3408	182
6	4602	182
7	4611	182
8	4271	182
9	5301	182
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14

Compiler

Compiled 18 to 17 computations (5.6% saved)

sample49.0ms (0.7%)

Algorithm

1×

intervals

Results

14.0ms	187×	body	128	valid
12.0ms	23×	body	1024	valid
6.0ms	21×	body	512	valid
4.0ms	25×	body	256	valid
1.0ms	10×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify134.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

753×	`unsub-neg_binary64`
686×	`sub-neg_binary64`
591×	`distribute-rgt-in_binary64`
521×	`neg-sub0_binary64`
433×	`associate--r-_binary64`
425×	`distribute-lft-in_binary64`
394×	`distribute-neg-in_binary64`
371×	`neg-mul-1_binary64`
346×	`cancel-sign-sub-inv_binary64`
339×	`associate-l_binary64`
335×	`distribute-neg-out_binary64`
227×	`distribute-lft-neg-out_binary64`
210×	`associate--r+_binary64`
206×	`associate--l-_binary64`
201×	`distribute-lft-neg-in_binary64`
187×	`associate-+l+_binary64`
170×	`associate-+l-_binary64`
169×	`*-rgt-identity_binary64`
167×	`*-lft-identity_binary64`
125×	`associate-+r+_binary64`
115×	`associate--l+_binary64`
108×	`+-commutative_binary64`
91×	`distribute-rgt-neg-in_binary64`
75×	`associate-+r-_binary64`
68×	`cancel-sign-sub_binary64`
60×	`sub0-neg_binary64`
59×	`*-commutative_binary64`
44×	`associate-r_binary64`
36×	`remove-double-neg_binary64`
33×	`distribute-rgt-neg-out_binary64`
18×	`distribute-lft-out--_binary64`
16×	`mul0-rgt_binary64` `mul0-lft_binary64`
13×	`+-rgt-identity_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64`
8×	`--rgt-identity_binary64`
5×	`distribute-lft-out_binary64`
3×	`mul-1-neg_binary64`
2×	`log-prod_binary64` `+-lft-identity_binary64`
1×	`1-exp_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	30	26
2	56	26
3	110	26
4	245	26
5	621	26
6	1270	26
7	1544	26
8	1489	26
9	1566	26
10	1581	26
11	1591	26
12	2401	26
13	4559	26
14	4855	26
15	4463	26
16	4907	26
17	5003	26

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

8.2b

Counts

1 → 1

Compiler

Compiled 17 to 16 computations (5.9% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
0.0b	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
5.8b	(log.f64 (-.f64 1 y))

rewrite203.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

7.8b

Rules

37×	`add-sqr-sqrt_binary64`
31×	`*-un-lft-identity_binary64`
24×	`log-prod_binary64`
14×	`add-cube-cbrt_binary64` `associate-l_binary64`
11×	`pow1_binary64` `difference-of-squares_binary64`
9×	`add-exp-log_binary64` `add-log-exp_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
8×	`add-cbrt-cube_binary64` `associate-r_binary64`
6×	`distribute-lft-out--_binary64`
4×	`flip3--_binary64` `flip--_binary64` `associate-*l/_binary64`
3×	`log-pow_binary64` `cancel-sign-sub-inv_binary64`
2×	`log-div_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `difference-of-sqr-1_binary64` `*-commutative_binary64` `diff-log_binary64`
1×	`rem-log-exp_binary64` `sum-log_binary64` `sub-neg_binary64` `associate--l+_binary64`

Counts

4 → 103

Calls

4 calls:

12.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
10.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
7.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 2335 to 1584 computations (32.2% saved)

series281.0ms (3.8%)

Error

0.1b

Counts

4 → 49

Calls

4 calls:

156.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
36.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
25.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
10.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 2221 to 1769 computations (20.4% saved)

simplify98.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

676×	`distribute-rgt-in_binary64`
594×	`distribute-lft-in_binary64`
289×	`cancel-sign-sub-inv_binary64`
282×	`sub-neg_binary64`
174×	`distribute-neg-in_binary64`
153×	`associate-l_binary64`
140×	`associate-r_binary64`
133×	`+-commutative_binary64`
122×	`unsub-neg_binary64`
110×	`*-commutative_binary64`
101×	`associate--r+_binary64`
80×	`associate-+l+_binary64`
79×	`associate--l+_binary64` `associate-+r+_binary64`
69×	`neg-sub0_binary64`
63×	`distribute-rgt-neg-in_binary64`
59×	`neg-mul-1_binary64`
57×	`distribute-rgt-neg-out_binary64`
56×	`distribute-lft-neg-out_binary64`
53×	`distribute-rgt-out_binary64`
50×	`distribute-lft-neg-in_binary64`
37×	`sqr-pow_binary64`
33×	`exp-prod_binary64`
31×	`mul-1-neg_binary64`
28×	`*-lft-identity_binary64`
27×	`log-prod_binary64`
26×	`*-rgt-identity_binary64`
23×	`exp-sum_binary64`
21×	`cube-prod_binary64`
19×	`swap-sqr_binary64`
15×	`distribute-lft-out_binary64`
12×	`exp-diff_binary64`
11×	`distribute-rgt-out--_binary64`
9×	`distribute-rgt1-in_binary64`
8×	`cube-unmult_binary64` `unswap-sqr_binary64` `distribute-neg-out_binary64`
6×	`associate-+r-_binary64`
5×	`unpow3_binary64` `exp-to-pow_binary64` `div-exp_binary64` `cube-mult_binary64`
4×	`log-div_binary64` `+-rgt-identity_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`cube-neg_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `count-2_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate--r-_binary64`
1×	`log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `remove-double-neg_binary64` `+-inverses_binary64` `distribute-frac-neg_binary64` `associate-/r/_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-plus_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

152 → 123

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	3121
1	649	2789
2	2175	2709
3	5368	2709

prune136.0ms (1.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	117	6	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	118	6	124

Error

0.0b

Counts

124 → 6

Compiler

Compiled 2174 to 1451 computations (33.3% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (-.f64 z 1) (-.f64 (.f64 (pow.f64 y 4) -1/4) (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))))
0.0b	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
0.4b	(*.f64 1/3 y)

rewrite272.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
18×	`associate-l_binary64`
16×	`pow1_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64`
13×	`associate-r_binary64`
8×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `log-prod_binary64` `cancel-sign-sub-inv_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64` `-commutative_binary64` `associate-l/_binary64` `difference-of-squares_binary64` `associate-*r/_binary64` `frac-times_binary64`
2×	`difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `sub-neg_binary64`
1×	`log-pow_binary64` `flip3-+_binary64` `flip-+_binary64`

Counts

4 → 110

Calls

4 calls:

16.0ms	(.f64 (-.f64 z 1) (-.f64 (.f64 (pow.f64 y 4) -1/4) (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))))
8.0ms	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))
7.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(*.f64 1/3 y)

Compiler

Compiled 4151 to 2717 computations (34.5% saved)

series166.0ms (2.3%)

Error

0.0b

Counts

4 → 34

Calls

4 calls:

60.0ms	(.f64 (-.f64 z 1) (-.f64 (.f64 (pow.f64 y 4) -1/4) (+.f64 y (.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y))))))
38.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
19.0ms	(.f64 (.f64 y y) (+.f64 1/2 (*.f64 1/3 y)))
10.0ms	(*.f64 1/3 y)

Compiler

Compiled 2324 to 1850 computations (20.4% saved)

simplify139.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

514×	`cancel-sign-sub-inv_binary64`
356×	`associate-l_binary64`
308×	`associate-r_binary64`
254×	`distribute-rgt-in_binary64`
251×	`distribute-lft-in_binary64`
240×	`neg-sub0_binary64`
211×	`neg-mul-1_binary64`
196×	`exp-prod_binary64`
193×	`*-commutative_binary64`
169×	`distribute-neg-in_binary64`
153×	`sub-neg_binary64`
146×	`distribute-rgt-neg-in_binary64`
120×	`distribute-lft-neg-in_binary64`
110×	`distribute-rgt-out_binary64`
100×	`exp-sum_binary64`
77×	`cube-prod_binary64` `+-commutative_binary64`
63×	`unswap-sqr_binary64`
61×	`distribute-lft-neg-out_binary64`
55×	`sqr-pow_binary64` `distribute-rgt-neg-out_binary64`
51×	`unsub-neg_binary64`
50×	`associate--r+_binary64`
49×	`associate-+r+_binary64`
48×	`log-prod_binary64`
46×	`distribute-rgt-out--_binary64` `associate-+l+_binary64`
45×	`associate--l+_binary64`
42×	`*-rgt-identity_binary64`
41×	`exp-diff_binary64` `*-lft-identity_binary64`
35×	`swap-sqr_binary64`
30×	`div-sub_binary64`
27×	`mul-1-neg_binary64`
21×	`unpow3_binary64`
17×	`cube-mult_binary64`
14×	`cube-unmult_binary64`
10×	`exp-neg_binary64` `distribute-rgt1-in_binary64`
8×	`pow-sqr_binary64`
7×	`pow-plus_binary64` `exp-to-pow_binary64`
4×	`unpow1/2_binary64` `difference-of-sqr-1_binary64`
3×	`difference-of-squares_binary64`
2×	`log-pow_binary64` `log-div_binary64` `unpow1/3_binary64` `prod-exp_binary64` `cube-neg_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `difference-of-sqr--1_binary64` `count-2_binary64` `associate-+r-_binary64`
1×	`log-rec_binary64` `unpow2_binary64` `unpow1_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-exp-log_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64` `+-inverses_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `associate--r-_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

144 → 116

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	281	3554
1	713	3269
2	3062	3145
3	4300	3145
4	5053	3145

prune170.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	115	7	122

Error

0.0b

Counts

122 → 7

Compiler

Compiled 3219 to 2195 computations (31.8% saved)

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite174.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-sqr-sqrt_binary64`
18×	`cbrt-prod_binary64`
17×	`*-un-lft-identity_binary64`
9×	`add-cube-cbrt_binary64`
6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cbrt-div_binary64`
4×	`add-log-exp_binary64` `difference-of-squares_binary64`
3×	`associate-l_binary64` `associate-r_binary64` `pow1/3_binary64`
2×	`flip3--_binary64` `flip--_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64`

Counts

4 → 66

Calls

4 calls:

4.0ms	(*.f64 1/3 y)
3.0ms	(cbrt.f64 (-.f64 z 1))
3.0ms	(cbrt.f64 (-.f64 z 1))
3.0ms	(cbrt.f64 (+.f64 -1 z))

Compiler

Compiled 2793 to 2018 computations (27.7% saved)

series67.0ms (0.9%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt.f64 (-.f64 z 1))
12.0ms	(cbrt.f64 (+.f64 -1 z))
12.0ms	(cbrt.f64 (-.f64 z 1))
10.0ms	(*.f64 1/3 y)

Compiler

Compiled 1505 to 1222 computations (18.8% saved)

simplify117.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

984×	`unswap-sqr_binary64`
638×	`unsub-neg_binary64`
348×	`distribute-rgt-in_binary64`
316×	`sub-neg_binary64`
283×	`associate--r-_binary64`
256×	`associate--l-_binary64`
234×	`distribute-lft-in_binary64`
228×	`*-commutative_binary64`
222×	`cancel-sign-sub-inv_binary64`
213×	`associate-l_binary64`
171×	`associate-r_binary64`
119×	`distribute-rgt-neg-in_binary64`
84×	`neg-sub0_binary64`
78×	`distribute-rgt-out--_binary64`
74×	`sqr-pow_binary64`
72×	`distribute-lft-neg-in_binary64`
71×	`neg-mul-1_binary64`
69×	`associate--r+_binary64`
67×	`distribute-rgt-out_binary64`
65×	`cube-prod_binary64`
62×	`distribute-neg-in_binary64`
57×	`distribute-neg-out_binary64`
52×	`distribute-rgt-neg-out_binary64`
44×	`distribute-lft-neg-out_binary64`
43×	`associate-+l-_binary64` `associate-+r-_binary64`
37×	`associate-+l+_binary64`
34×	`associate-+r+_binary64`
32×	`unpow3_binary64` `+-commutative_binary64`
29×	`pow-plus_binary64`
28×	`cube-unmult_binary64`
27×	`associate--l+_binary64`
21×	`distribute-rgt1-in_binary64`
17×	`cube-mult_binary64`
16×	`*-rgt-identity_binary64`
15×	`*-lft-identity_binary64`
14×	`+-lft-identity_binary64`
12×	`pow-sqr_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64`
11×	`sub0-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `cancel-sign-sub_binary64`
9×	`mul-1-neg_binary64` `remove-double-neg_binary64`
7×	`associate-/l_binary64` `associate-r/_binary64`
6×	`distribute-lft-out--_binary64`
5×	`--rgt-identity_binary64` `difference-of-sqr-1_binary64`
4×	`unpow1/3_binary64` `unpow2_binary64` `exp-prod_binary64` `rem-sqrt-square_binary64` `swap-sqr_binary64`
3×	`log-prod_binary64` `sqr-neg_binary64` `+-rgt-identity_binary64` `associate-/r/_binary64`
2×	`cube-neg_binary64` `rem-3cbrt-lft_binary64` `+-inverses_binary64` `difference-of-sqr--1_binary64` `distribute-lft-out_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `exp-1-e_binary64` `/-rgt-identity_binary64` `associate-*l/_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `div0_binary64` `-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-squares_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate-/r_binary64`

Counts

78 → 47

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	754
1	160	742
2	268	741
3	483	741
4	1156	741
5	1795	741
6	4636	741
7	4907	741
8	5078	741

prune107.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	47	7	54

Error

0.0b

Counts

54 → 7

Compiler

Compiled 1958 to 1419 computations (27.5% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
8.7b	(+.f64 (.f64 (+.f64 -1 z) (log.f64 (+.f64 1 (sqrt.f64 y)))) (.f64 (+.f64 -1 z) (log.f64 (-.f64 1 (sqrt.f64 y)))))
11.7b	(log.f64 (-.f64 1 (sqrt.f64 y)))
11.8b	(log.f64 (+.f64 1 (sqrt.f64 y)))

rewrite261.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

48×	`log-prod_binary64`
44×	`add-sqr-sqrt_binary64`
41×	`*-un-lft-identity_binary64`
18×	`associate-+r+_binary64`
17×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
14×	`add-cube-cbrt_binary64` `difference-of-squares_binary64`
12×	`sqrt-prod_binary64`
10×	`associate-*l/_binary64` `associate-+l+_binary64`
9×	`pow1_binary64`
8×	`add-exp-log_binary64`
7×	`distribute-lft-out_binary64` `distribute-lft-out--_binary64` `associate-l_binary64`
6×	`flip3-+_binary64` `flip-+_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
4×	`log-div_binary64` `frac-add_binary64` `associate-r_binary64`
3×	`log-pow_binary64`
2×	`rem-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `difference-of-sqr-1_binary64` `*-commutative_binary64`

Counts

4 → 111

Calls

4 calls:

19.0ms	(+.f64 (.f64 (+.f64 -1 z) (log.f64 (+.f64 1 (sqrt.f64 y)))) (.f64 (+.f64 -1 z) (log.f64 (-.f64 1 (sqrt.f64 y)))))
7.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
5.0ms	(log.f64 (+.f64 1 (sqrt.f64 y)))
5.0ms	(log.f64 (-.f64 1 (sqrt.f64 y)))

Compiler

Compiled 3594 to 2390 computations (33.5% saved)

series140.0ms (1.9%)

Error

0.0b

Counts

4 → 22

Calls

4 calls:

62.0ms	(+.f64 (.f64 (+.f64 -1 z) (log.f64 (+.f64 1 (sqrt.f64 y)))) (.f64 (+.f64 -1 z) (log.f64 (-.f64 1 (sqrt.f64 y)))))
37.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
13.0ms	(log.f64 (-.f64 1 (sqrt.f64 y)))
10.0ms	(log.f64 (+.f64 1 (sqrt.f64 y)))

Compiler

Compiled 1587 to 1289 computations (18.8% saved)

simplify147.0ms (2%)

Algorithm

1×	egg-herbie

Rules

455×	`unsub-neg_binary64`
406×	`*-commutative_binary64`
328×	`cancel-sign-sub-inv_binary64`
244×	`sub-neg_binary64`
226×	`associate-+l+_binary64`
215×	`associate-+r+_binary64`
203×	`+-commutative_binary64`
199×	`distribute-neg-out_binary64`
156×	`neg-sub0_binary64`
141×	`associate-l_binary64`
130×	`associate-r_binary64`
122×	`exp-diff_binary64` `neg-mul-1_binary64` `distribute-rgt-in_binary64`
116×	`distribute-lft-in_binary64`
100×	`exp-prod_binary64`
94×	`exp-sum_binary64`
86×	`log-prod_binary64`
83×	`sqr-pow_binary64`
78×	`distribute-rgt-out_binary64`
76×	`distribute-lft-out_binary64`
65×	`distribute-rgt-neg-in_binary64`
63×	`distribute-lft-neg-out_binary64`
50×	`distribute-rgt-neg-out_binary64`
48×	`distribute-lft-neg-in_binary64`
46×	`associate-+r-_binary64`
45×	`associate--r+_binary64`
44×	`associate-+l-_binary64`
41×	`swap-sqr_binary64`
40×	`cube-prod_binary64`
39×	`unswap-sqr_binary64`
34×	`associate--l+_binary64`
33×	`mul-1-neg_binary64` `distribute-neg-in_binary64`
28×	`exp-to-pow_binary64` `*-lft-identity_binary64`
26×	`*-rgt-identity_binary64`
24×	`remove-double-neg_binary64`
23×	`+-rgt-identity_binary64`
19×	`distribute-rgt-out--_binary64`
17×	`log-div_binary64` `unpow3_binary64` `sub0-neg_binary64`
16×	`distribute-lft-out--_binary64`
13×	`log-pow_binary64`
11×	`pow-sqr_binary64`
10×	`difference-of-sqr-1_binary64` `distribute-rgt1-in_binary64`
9×	`count-2_binary64`
8×	`div-sub_binary64` `associate-/r*_binary64`
7×	`cube-mult_binary64`
6×	`prod-exp_binary64` `exp-neg_binary64` `sqr-neg_binary64`
5×	`unpow1/2_binary64` `cube-unmult_binary64` `cube-neg_binary64` `difference-of-squares_binary64` `associate--r-_binary64`
4×	`log-rec_binary64` `rem-exp-log_binary64`
3×	`unpow2_binary64` `pow-plus_binary64` `rem-sqrt-square_binary64` `difference-of-sqr--1_binary64`
2×	`unpow1_binary64` `rec-exp_binary64` `--rgt-identity_binary64` `distribute-frac-neg_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `+-inverses_binary64` `distribute-lft1-in_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `times-frac_binary64` `/-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-l/_binary64` `associate-r/_binary64`

Counts

133 → 97

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	235	2880
1	572	2555
2	1669	2467
3	3101	2451
4	4819	2451
5	4961	2451

prune152.0ms (2.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	97	7	104

Error

0.0b

Counts

104 → 7

Compiler

Compiled 2416 to 1579 computations (34.6% saved)

regimes2.3s (31.5%)

Accuracy

Total 0.2b remaining (81%)

Threshold costs 0.2b (81%)

Compiler

Compiled 35465 to 30512 computations (14% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

27×	`*-commutative_binary64`
26×	`+-commutative_binary64`
19×	`sub-neg_binary64`
16×	`neg-mul-1_binary64` `neg-sub0_binary64`
14×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
6×	`unsub-neg_binary64` `distribute-neg-in_binary64`
1×	`1-exp_binary64`
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` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	84
1	64	84
2	75	84
3	96	84
4	127	84
5	164	84
6	188	84
7	201	84
8	206	84
9	207	84
10	202	84

end2.0ms (0%)

Compiler: Compiled 56 to 45 computations (19.6% saved)

sample1.7s (23%)

Algorithm

1×

intervals

Results

471.0ms	6115×	body	128	valid
247.0ms	491×	body	1024	valid
223.0ms	812×	body	512	valid
91.0ms	579×	body	256	valid
26.0ms	265×	body	128	nan
2.0ms	30×	body	128	invalid
2.0ms	3×	body	2048	valid

Compiler

Compiled 336 to 292 computations (13.1% saved)

Iter	Nodes	Cost
0	37	84
1	64	84
2	75	84
3	96	84
4	127	84
5	164	84
6	188	84
7	201	84
8	206	84
9	207	84
10	202	84

Iter	Nodes	Cost
0	37	84
1	64	84
2	75	84
3	96	84
4	127	84
5	164	84
6	188	84
7	201	84
8	206	84
9	207	84
10	202	84

Details

analyze427.0ms (5.8%)

sample49.0ms (0.7%)

simplify134.0ms (1.8%)

prune4.0ms (0.1%)

localize13.0ms (0.2%)

rewrite203.0ms (2.8%)

series281.0ms (3.8%)

simplify98.0ms (1.3%)

prune136.0ms (1.9%)

localize22.0ms (0.3%)

rewrite272.0ms (3.7%)

series166.0ms (2.3%)

simplify139.0ms (1.9%)

prune170.0ms (2.3%)

localize30.0ms (0.4%)

rewrite174.0ms (2.4%)

series67.0ms (0.9%)

simplify117.0ms (1.6%)

prune107.0ms (1.5%)

localize19.0ms (0.3%)

rewrite261.0ms (3.6%)

series140.0ms (1.9%)

simplify147.0ms (2%)

prune152.0ms (2.1%)

regimes2.3s (31.5%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

end2.0ms (0%)

sample1.7s (23%)

Profiling

Iter	Nodes	Cost
0	37	84
1	64	84
2	75	84
3	96	84
4	127	84
5	164	84
6	188	84
7	201	84
8	206	84
9	207	84
10	202	84