Details

analyze27.0ms (0.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

28×	`sub-neg_binary64`
25×	`cancel-sign-sub-inv_binary64`
18×	`distribute-rgt-in_binary64`
16×	`neg-mul-1_binary64`
15×	`associate--r+_binary64`
14×	`unsub-neg_binary64`
12×	`associate--r-_binary64`
10×	`neg-sub0_binary64` `distribute-lft-in_binary64`
8×	`*-lft-identity_binary64` `sub0-neg_binary64` `distribute-neg-in_binary64` `+-commutative_binary64`
7×	`distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `associate-+l-_binary64`
6×	`+-lft-identity_binary64` `associate-+l+_binary64`
5×	`distribute-rgt-neg-out_binary64` `*-commutative_binary64`
4×	`*-rgt-identity_binary64`
2×	`--rgt-identity_binary64` `associate--l+_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`1-exp_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `distribute-lft-neg-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` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_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` `mul-1-neg_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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_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` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	14	22
2	22	22
3	33	22
4	42	22
5	66	22
6	99	22
7	116	22
8	139	22
9	143	22
10	131	22
11	117	22
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample88.0ms (1.3%)

Algorithm

1×

intervals

Results

39.0ms	63×	body	2048	valid
30.0ms	126×	body	1024	valid
8.0ms	50×	body	512	valid
1.0ms	10×	body	256	valid
0.0ms	7×	body	128	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

15×	`sub-neg_binary64`
14×	`cancel-sign-sub-inv_binary64`
10×	`distribute-rgt-in_binary64`
9×	`neg-mul-1_binary64`
8×	`associate--r+_binary64`
7×	`unsub-neg_binary64`
6×	`neg-sub0_binary64` `associate--r-_binary64`
5×	`distribute-neg-in_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-in_binary64` `+-commutative_binary64`
4×	`*-lft-identity_binary64` `sub0-neg_binary64` `associate-+l-_binary64`
3×	`+-lft-identity_binary64` `distribute-rgt-neg-out_binary64` `associate-+l+_binary64` `*-commutative_binary64`
2×	`*-rgt-identity_binary64`
1×	`1-exp_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-lft-neg-in_binary64` `associate--l+_binary64` `associate-+r-_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` `log-rec_binary64` `log-div_binary64` `log-prod_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` `mul-1-neg_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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_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` `associate--l-_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	21	11
4	27	11
5	42	11
6	65	11
7	78	11
8	90	11
9	92	11
10	86	11
11	72	11

prune1.0ms (0%)

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

39.5b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

1.0b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
4.8b	(cos.f64 (+.f64 x eps))

rewrite45.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

18.9b

Rules

5×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`add-log-exp_binary64`
3×	`add-cube-cbrt_binary64` `cancel-sign-sub-inv_binary64`
2×	`cos-sum_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
1×	`diff-cos_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`

Counts

2 → 26

Calls

2 calls:

6.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
4.0ms	(cos.f64 (+.f64 x eps))

Compiler

Compiled 373 to 99 computations (73.5% saved)

series64.0ms (1%)

Error

13.4b

Counts

2 → 23

Calls

2 calls:

21.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
16.0ms	(cos.f64 (+.f64 x eps))

Compiler

Compiled 620 to 420 computations (32.3% saved)

simplify123.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

572×	`sub-neg_binary64`
517×	`*-commutative_binary64`
433×	`unsub-neg_binary64`
303×	`distribute-rgt-in_binary64`
250×	`distribute-lft-in_binary64`
225×	`associate-l_binary64`
217×	`associate-r_binary64`
194×	`associate-+l-_binary64`
163×	`neg-mul-1_binary64`
157×	`associate-+l+_binary64`
153×	`neg-sub0_binary64`
141×	`associate-+r+_binary64`
138×	`cancel-sign-sub-inv_binary64`
132×	`associate--l+_binary64`
128×	`distribute-rgt-neg-in_binary64`
126×	`distribute-lft-neg-in_binary64`
116×	`associate--r+_binary64`
88×	`distribute-lft-out_binary64`
86×	`unswap-sqr_binary64`
84×	`distribute-lft-out--_binary64`
79×	`distribute-rgt-out--_binary64`
77×	`+-commutative_binary64`
69×	`distribute-rgt-out_binary64`
67×	`associate-+r-_binary64`
51×	`distribute-lft-neg-out_binary64`
46×	`distribute-rgt-neg-out_binary64`
43×	`sqr-pow_binary64`
36×	`associate--l-_binary64`
28×	`exp-prod_binary64` `exp-sum_binary64`
26×	`+-rgt-identity_binary64`
24×	`unpow3_binary64`
21×	`pow-plus_binary64` `exp-diff_binary64` `cube-prod_binary64`
19×	`cube-unmult_binary64` `div-sub_binary64` `sub0-neg_binary64`
17×	`distribute-neg-in_binary64`
15×	`times-frac_binary64`
12×	`difference-of-squares_binary64`
10×	`swap-sqr_binary64`
9×	`cube-mult_binary64`
8×	`associate--r-_binary64`
7×	`mul0-rgt_binary64` `mul0-lft_binary64`
6×	`sqr-neg_binary64`
5×	`rem-sqrt-square_binary64` `cancel-sign-sub_binary64` `associate-/l*_binary64`
4×	`mul-1-neg_binary64` `pow-sqr_binary64` `distribute-rgt1-in_binary64`
3×	`cube-neg_binary64`
2×	`sin-neg_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rec-exp_binary64` `+-inverses_binary64` `distribute-neg-frac_binary64` `count-2_binary64`
1×	`cos-neg_binary64` `log-prod_binary64` `div-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `distribute-lft1-in_binary64` `associate-/r/_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` `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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_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` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `+-lft-identity_binary64` `div0_binary64` `-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `associate-/l/_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

49 → 39

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	803
1	257	778
2	590	742
3	1799	724
4	3926	724
5	4927	724
6	4993	724
7	4900	724

prune44.0ms (0.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	31	8	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	8	40

Error

0.2b

Counts

40 → 8

Compiler

Compiled 581 to 251 computations (56.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (+.f64 eps x))
0.2b	(/.f64 (+.f64 x (+.f64 eps x)) 2)
0.2b	(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
4.9b	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))

rewrite129.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

41×	`*-un-lft-identity_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64`
15×	`times-frac_binary64` `distribute-lft-out_binary64`
9×	`add-log-exp_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64`
5×	`associate-/l*_binary64`
3×	`associate-l_binary64` `associate-r_binary64` `associate-/r*_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip-+_binary64`
1×	`sin-mult_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-+r+_binary64` `+-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

11.0ms	(/.f64 (+.f64 x (+.f64 eps x)) 2)
11.0ms	(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
7.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))
5.0ms	(+.f64 x (+.f64 eps x))

Compiler

Compiled 1585 to 909 computations (42.6% saved)

series131.0ms (2%)

Error

0.2b

Counts

4 → 48

Calls

4 calls:

33.0ms	(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
23.0ms	(/.f64 (+.f64 x (+.f64 eps x)) 2)
22.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))
20.0ms	(+.f64 x (+.f64 eps x))

Compiler

Compiled 1546 to 1335 computations (13.6% saved)

simplify129.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

559×	`distribute-rgt-neg-in_binary64`
525×	`distribute-lft-neg-in_binary64`
424×	`associate-l_binary64`
410×	`associate-r_binary64`
335×	`cancel-sign-sub-inv_binary64`
275×	`sub-neg_binary64`
219×	`*-commutative_binary64`
184×	`distribute-rgt-in_binary64`
159×	`distribute-lft-in_binary64`
125×	`unswap-sqr_binary64`
95×	`neg-sub0_binary64` `associate-+l+_binary64`
92×	`neg-mul-1_binary64`
85×	`+-commutative_binary64`
84×	`associate-+r+_binary64`
76×	`unsub-neg_binary64`
67×	`times-frac_binary64` `associate--l+_binary64`
56×	`distribute-neg-in_binary64`
54×	`div-sub_binary64`
51×	`sqr-pow_binary64` `associate--r+_binary64`
48×	`associate-+r-_binary64`
47×	`distribute-lft-neg-out_binary64` `associate-+l-_binary64`
39×	`+-rgt-identity_binary64`
38×	`associate-/l*_binary64`
37×	`associate-*l/_binary64`
36×	`exp-prod_binary64`
29×	`cube-prod_binary64` `associate-*r/_binary64`
25×	`associate-/l/_binary64`
22×	`sub0-neg_binary64` `distribute-rgt-neg-out_binary64`
20×	`distribute-rgt-out--_binary64`
19×	`distribute-rgt-out_binary64` `associate-/r*_binary64`
17×	`cube-unmult_binary64`
16×	`difference-of-squares_binary64`
14×	`associate-/r/_binary64`
13×	`unpow3_binary64` `/-rgt-identity_binary64`
12×	`exp-sum_binary64` `*-rgt-identity_binary64` `swap-sqr_binary64`
11×	`distribute-neg-out_binary64`
10×	`cancel-sign-sub_binary64`
9×	`log-prod_binary64` `pow-plus_binary64` `*-lft-identity_binary64`
7×	`pow-sqr_binary64`
6×	`unpow1/2_binary64`
5×	`cube-mult_binary64` `rem-sqrt-square_binary64` `+-inverses_binary64` `distribute-neg-frac_binary64` `distribute-lft-out--_binary64`
4×	`prod-exp_binary64` `exp-diff_binary64` `distribute-rgt1-in_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `cube-div_binary64` `distribute-frac-neg_binary64`
2×	`log-div_binary64` `mul0-lft_binary64` `associate--l-_binary64`
1×	`cos-neg_binary64` `exp-lft-sqr_binary64` `exp-sqrt_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `count-2_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` `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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_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-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `associate--r-_binary64`

Counts

126 → 103

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	178	2239
1	441	2066
2	1131	1969
3	3392	1959
4	4912	1959
5	4933	1959

prune100.0ms (1.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	98	5	103
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	101	10	111

Error

0.2b

Counts

111 → 10

Compiler

Compiled 1768 to 1110 computations (37.2% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.8b	(sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))
6.8b	(cbrt.f64 (*.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))
6.8b	(cbrt.f64 (*.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))
6.8b	(cbrt.f64 (*.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))

rewrite110.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

4×	`pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
3×	`pow1/3_binary64` `sin-mult_binary64` `cbrt-div_binary64` `cbrt-prod_binary64`

Counts

4 → 37

Calls

4 calls:

9.0ms	(cbrt.f64 (*.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))
9.0ms	(cbrt.f64 (*.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))
9.0ms	(cbrt.f64 (*.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))
8.0ms	(sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))

Compiler

Compiled 2079 to 1284 computations (38.2% saved)

series331.0ms (5%)

Error

0.2b

Counts

4 → 39

Calls

4 calls:

84.0ms	(cbrt.f64 (*.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))
83.0ms	(cbrt.f64 (*.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))
80.0ms	(cbrt.f64 (*.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))
32.0ms	(sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))

Compiler

Compiled 5117 to 3818 computations (25.4% saved)

simplify142.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

543×	`distribute-rgt-neg-in_binary64`
518×	`distribute-lft-neg-in_binary64`
347×	`associate-r_binary64`
338×	`unswap-sqr_binary64`
307×	`associate-l_binary64`
231×	`cancel-sign-sub-inv_binary64`
165×	`*-commutative_binary64`
133×	`sub-neg_binary64`
115×	`associate-/l*_binary64`
98×	`distribute-rgt-in_binary64`
83×	`distribute-lft-in_binary64`
77×	`neg-mul-1_binary64` `neg-sub0_binary64`
59×	`distribute-rgt-out_binary64`
57×	`sqr-pow_binary64`
56×	`distribute-rgt-out--_binary64`
51×	`+-commutative_binary64`
45×	`associate-/r/_binary64`
43×	`distribute-lft-out--_binary64`
38×	`exp-sum_binary64`
31×	`associate-/l/_binary64`
28×	`distribute-lft-out_binary64` `associate--l+_binary64`
26×	`associate-+l+_binary64`
24×	`distribute-lft-neg-out_binary64`
23×	`associate-+l-_binary64`
22×	`associate-+r+_binary64`
20×	`associate-+r-_binary64`
18×	`associate-/r*_binary64` `associate--r+_binary64`
17×	`exp-prod_binary64` `unsub-neg_binary64`
16×	`unpow3_binary64`
14×	`+-rgt-identity_binary64`
13×	`cube-unmult_binary64`
12×	`cube-prod_binary64`
11×	`unpow1/3_binary64` `pow-plus_binary64`
9×	`log-prod_binary64` `sub0-neg_binary64`
8×	`prod-exp_binary64`
7×	`log-pow_binary64` `div-exp_binary64` `distribute-neg-in_binary64`
6×	`swap-sqr_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `unpow1_binary64` `rem-exp-log_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `count-2_binary64` `associate-*l/_binary64`
2×	`cube-mult_binary64` `-rgt-identity_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-out_binary64` `associate-r/_binary64`
1×	`cos-neg_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `*-lft-identity_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` `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-rec_binary64` `log-div_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` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

76 → 42

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	2063
1	263	2038
2	674	1924
3	2237	1873
4	4932	1873
5	4992	1873
6	4952	1873

prune64.0ms (1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	41	11	52

Error

0.2b

Counts

52 → 11

Compiler

Compiled 1706 to 1148 computations (32.7% saved)

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

6.8b	(cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) 3)) (sin.f64 (/.f64 eps 2))))
6.8b	(cbrt.f64 (*.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))
6.8b	(cbrt.f64 (*.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))
7.2b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) 3))

rewrite146.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

15×	`cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`pow1/3_binary64` `pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`unpow-prod-down_binary64` `cube-prod_binary64`
2×	`sin-mult_binary64` `cbrt-div_binary64`
1×	`unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64` `rem-cbrt-cube_binary64`

Counts

4 → 50

Calls

4 calls:

14.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) 3)) (sin.f64 (/.f64 eps 2))))
10.0ms	(cbrt.f64 (*.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))
9.0ms	(cbrt.f64 (*.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))
8.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) 3))

Compiler

Compiled 2829 to 1805 computations (36.2% saved)

series334.0ms (5%)

Error

0.2b

Counts

4 → 39

Calls

4 calls:

84.0ms	(cbrt.f64 (*.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))
83.0ms	(cbrt.f64 (*.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (sin.f64 (/.f64 eps 2))))
81.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) 3)) (sin.f64 (/.f64 eps 2))))
33.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) 3))

Compiler

Compiled 5243 to 3944 computations (24.8% saved)

simplify151.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

554×	`unswap-sqr_binary64`
543×	`distribute-rgt-neg-in_binary64`
518×	`distribute-lft-neg-in_binary64`
424×	`associate-r_binary64`
405×	`associate-l_binary64`
231×	`cancel-sign-sub-inv_binary64`
183×	`*-commutative_binary64`
133×	`sub-neg_binary64`
88×	`sqr-pow_binary64`
77×	`neg-mul-1_binary64` `neg-sub0_binary64`
51×	`+-commutative_binary64`
46×	`pow-plus_binary64`
31×	`exp-prod_binary64`
28×	`unpow3_binary64` `associate--l+_binary64`
26×	`associate-+l+_binary64`
25×	`exp-sum_binary64`
24×	`log-prod_binary64` `distribute-lft-neg-out_binary64`
23×	`associate-+l-_binary64`
22×	`associate-+r+_binary64`
21×	`distribute-rgt-in_binary64`
20×	`associate-/l*_binary64` `associate-+r-_binary64`
19×	`cube-unmult_binary64` `cube-prod_binary64`
18×	`associate-/r*_binary64` `associate--r+_binary64`
17×	`unsub-neg_binary64`
16×	`log-pow_binary64`
14×	`+-rgt-identity_binary64`
13×	`unpow1/3_binary64` `rem-sqrt-square_binary64` `distribute-rgt-out_binary64` `distribute-lft-in_binary64`
12×	`associate-/r/_binary64`
11×	`pow-sqr_binary64`
9×	`sub0-neg_binary64` `distribute-rgt-out--_binary64`
8×	`swap-sqr_binary64`
7×	`prod-exp_binary64` `distribute-neg-in_binary64`
6×	`unpow2_binary64` `cube-mult_binary64`
5×	`div-exp_binary64`
4×	`unpow1/2_binary64` `exp-to-pow_binary64` `unpow1_binary64` `rem-exp-log_binary64` `rem-cbrt-cube_binary64` `cancel-sign-sub_binary64` `associate-*l/_binary64`
3×	`rem-3cbrt-lft_binary64` `count-2_binary64`
2×	`-rgt-identity_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `associate-r/_binary64`
1×	`cos-neg_binary64` `1-exp_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `*-lft-identity_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` `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-rec_binary64` `log-div_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` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `associate-/l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

89 → 60

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	136	2376
1	299	2322
2	796	2208
3	2598	2172
4	4915	2160
5	4974	2160
6	4929	2160

prune74.0ms (1.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	9	9
Picked	0	1	1
Done	1	0	1
Total	60	11	71

Error

0.2b

Counts

71 → 11

Compiler

Compiled 2101 to 1387 computations (34% saved)

regimes1.3s (20.2%)

Accuracy

Total 0.2b remaining (49.8%)

Threshold costs 0.2b (49.8%)

Compiler

Compiled 11762 to 9028 computations (23.2% saved)

bsearch58.0ms (0.9%)

Steps

Iters	Range		Point
6	0.00042256324598876374	0.003520659028169671	0.0031925598373742257
9	-78.90218970965384	-2.6698620783158905e-08	-0.0034592849336617607

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative_binary64`
15×	`+-commutative_binary64`
13×	`sub-neg_binary64`
10×	`neg-mul-1_binary64` `neg-sub0_binary64`
8×	`distribute-rgt-neg-in_binary64`
7×	`distribute-lft-neg-in_binary64`
2×	`unsub-neg_binary64` `cancel-sign-sub-inv_binary64` `distribute-neg-in_binary64`
1×	`if-if-or-not_binary64` `distribute-lft-neg-out_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_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` `1-exp_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_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	85
1	60	85
2	80	85
3	108	85
4	127	85
5	136	85
6	140	85
7	141	85
8	140	85

end2.0ms (0%)

Compiler: Compiled 54 to 36 computations (33.3% saved)

sample2.9s (44.1%)

Algorithm

1×

intervals

Results

1.0s	2025×	body	2048	valid
983.0ms	3910×	body	1024	valid
207.0ms	1289×	body	512	valid
58.0ms	523×	body	256	valid
16.0ms	251×	body	128	valid
2.0ms	2×	body	4096	valid

Compiler

Compiled 339 to 254 computations (25.1% saved)

Iter	Nodes	Cost
0	11	22
1	14	22
2	22	22
3	33	22
4	42	22
5	66	22
6	99	22
7	116	22
8	139	22
9	143	22
10	131	22
11	117	22
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	21	11
4	27	11
5	42	11
6	65	11
7	78	11
8	90	11
9	92	11
10	86	11
11	72	11

Iter	Nodes	Cost
0	11	22
1	14	22
2	22	22
3	33	22
4	42	22
5	66	22
6	99	22
7	116	22
8	139	22
9	143	22
10	131	22
11	117	22
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	21	11
4	27	11
5	42	11
6	65	11
7	78	11
8	90	11
9	92	11
10	86	11
11	72	11

Details

analyze27.0ms (0.4%)

sample88.0ms (1.3%)

simplify12.0ms (0.2%)

prune1.0ms (0%)

localize7.0ms (0.1%)

rewrite45.0ms (0.7%)

series64.0ms (1%)

simplify123.0ms (1.8%)

prune44.0ms (0.7%)

localize13.0ms (0.2%)

rewrite129.0ms (1.9%)

series131.0ms (2%)

simplify129.0ms (1.9%)

prune100.0ms (1.5%)

localize23.0ms (0.3%)

rewrite110.0ms (1.7%)

series331.0ms (5%)

simplify142.0ms (2.1%)

prune64.0ms (1%)

localize26.0ms (0.4%)

rewrite146.0ms (2.2%)

series334.0ms (5%)

simplify151.0ms (2.3%)

prune74.0ms (1.1%)

regimes1.3s (20.2%)

bsearch58.0ms (0.9%)

simplify7.0ms (0.1%)

end2.0ms (0%)

sample2.9s (44.1%)

Profiling

Iter	Nodes	Cost
0	11	22
1	14	22
2	22	22
3	33	22
4	42	22
5	66	22
6	99	22
7	116	22
8	139	22
9	143	22
10	131	22
11	117	22
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	21	11
4	27	11
5	42	11
6	65	11
7	78	11
8	90	11
9	92	11
10	86	11
11	72	11