Details

analyze30.0ms (1%)

Algorithm

1×	search
2×	egg-herbie

Rules

32×	`distribute-rgt-in_binary64`
27×	`cancel-sign-sub-inv_binary64`
26×	`distribute-lft-in_binary64`
25×	`sub-neg_binary64`
17×	`div-sub_binary64`
16×	`distribute-lft-neg-out_binary64`
15×	`unsub-neg_binary64` `distribute-rgt-neg-in_binary64`
14×	`associate-/l*_binary64`
13×	`neg-mul-1_binary64` `distribute-rgt-neg-out_binary64` `associate-/r*_binary64`
12×	`associate--r+_binary64`
10×	`distribute-neg-frac_binary64`
9×	`neg-sub0_binary64`
8×	`distribute-neg-in_binary64` `distribute-lft-neg-in_binary64`
7×	`associate-l_binary64` `*-commutative_binary64`
6×	`-lft-identity_binary64` `associate-l/_binary64` `associate-r_binary64` `associate--r-_binary64` `+-commutative_binary64`
5×	`sub0-neg_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-*r/_binary64` `associate-+l-_binary64`
3×	`*-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate--l+_binary64` `associate-+l+_binary64`
2×	`/-rgt-identity_binary64` `remove-double-neg_binary64` `div0_binary64` `distribute-rgt1-in_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_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` `mul-1-neg_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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
62.5%	25%	12.5%	4
68.7%	12.5%	18.8%	5
71.8%	6.2%	21.9%	6
73.4%	3.1%	23.5%	7
74.2%	1.6%	24.3%	8
74.6%	0.8%	24.6%	9
75%	0.4%	24.6%	10
75.1%	0.2%	24.7%	11
75.1%	0.1%	24.8%	12
75.1%	0%	24.8%	13
75.2%	0%	24.8%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample32.0ms (1.1%)

Algorithm

1×

intervals

Results

11.0ms	79×	body	1024	valid
7.0ms	49×	body	512	valid
3.0ms	15×	body	2048	valid
2.0ms	97×	body	128	valid
1.0ms	16×	body	256	valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify19.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

32×	`distribute-rgt-in_binary64`
27×	`cancel-sign-sub-inv_binary64`
26×	`distribute-lft-in_binary64`
25×	`sub-neg_binary64`
17×	`div-sub_binary64`
16×	`distribute-lft-neg-out_binary64`
15×	`unsub-neg_binary64` `distribute-rgt-neg-in_binary64`
14×	`associate-/l*_binary64`
13×	`neg-mul-1_binary64` `distribute-rgt-neg-out_binary64` `associate-/r*_binary64`
12×	`associate--r+_binary64`
10×	`distribute-neg-frac_binary64`
9×	`neg-sub0_binary64`
8×	`distribute-neg-in_binary64` `distribute-lft-neg-in_binary64`
7×	`associate-l_binary64` `*-commutative_binary64`
6×	`-lft-identity_binary64` `associate-l/_binary64` `associate-r_binary64` `associate--r-_binary64` `+-commutative_binary64`
5×	`sub0-neg_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-*r/_binary64` `associate-+l-_binary64`
3×	`*-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate--l+_binary64` `associate-+l+_binary64`
2×	`/-rgt-identity_binary64` `remove-double-neg_binary64` `div0_binary64` `distribute-rgt1-in_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_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` `mul-1-neg_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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9

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

40.0b

Counts

1 → 1

Compiler

Compiled 6 to 5 computations (16.7% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
3.3b	(-.f64 (exp.f64 x) 1)

rewrite82.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

39.7b

Rules

35×	`add-sqr-sqrt_binary64`
30×	`*-un-lft-identity_binary64`
21×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
7×	`associate-/l*_binary64`
5×	`difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`cancel-sign-sub-inv_binary64` `associate-/r*_binary64`
2×	`pow1_binary64` `flip3--_binary64` `flip--_binary64` `associate-/l/_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

2 → 64

Calls

2 calls:

7.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
4.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 754 to 428 computations (43.2% saved)

series28.0ms (0.9%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

9.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
7.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 230 to 186 computations (19.1% saved)

simplify98.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

486×	`associate-/l*_binary64`
359×	`associate-*l/_binary64`
294×	`associate-/l/_binary64` `associate-/r*_binary64`
268×	`distribute-rgt-in_binary64`
267×	`associate-/r/_binary64`
239×	`distribute-lft-in_binary64`
185×	`div-sub_binary64`
137×	`neg-mul-1_binary64`
120×	`cube-div_binary64`
116×	`exp-prod_binary64`
111×	`log-div_binary64`
86×	`times-frac_binary64`
82×	`associate-l_binary64`
81×	`distribute-rgt-out_binary64`
78×	`associate-r_binary64`
77×	`cube-prod_binary64`
64×	`log-prod_binary64`
58×	`*-commutative_binary64`
57×	`distribute-lft-out_binary64`
56×	`distribute-lft-neg-out_binary64`
54×	`distribute-rgt-neg-out_binary64`
50×	`associate-+l+_binary64` `+-commutative_binary64`
45×	`sub-neg_binary64`
39×	`associate-+r+_binary64`
38×	`exp-sum_binary64` `distribute-frac-neg_binary64`
32×	`associate-*r/_binary64`
28×	`sqr-pow_binary64` `distribute-neg-frac_binary64`
26×	`exp-diff_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
23×	`unswap-sqr_binary64`
21×	`neg-sub0_binary64`
19×	`distribute-lft-neg-in_binary64`
18×	`unpow3_binary64` `distribute-neg-in_binary64`
15×	`unsub-neg_binary64`
14×	`cube-neg_binary64` `sqr-neg_binary64`
13×	`prod-exp_binary64` `cube-unmult_binary64` `/-rgt-identity_binary64` `*-lft-identity_binary64`
12×	`mul-1-neg_binary64` `*-rgt-identity_binary64` `distribute-rgt1-in_binary64`
11×	`log-rec_binary64`
10×	`cube-mult_binary64`
9×	`div-exp_binary64` `exp-neg_binary64`
8×	`swap-sqr_binary64`
7×	`pow-plus_binary64` `rec-exp_binary64`
6×	`rem-sqrt-square_binary64`
5×	`distribute-lft1-in_binary64` `associate-+r-_binary64`
4×	`cancel-sign-sub_binary64`
3×	`log-pow_binary64` `unpow1/2_binary64` `pow-sqr_binary64` `difference-of-sqr-1_binary64` `count-2_binary64`
2×	`remove-double-neg_binary64` `+-rgt-identity_binary64` `associate--r+_binary64` `associate-+l-_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `sub0-neg_binary64` `div0_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `associate--r-_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` `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` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-squares_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64`

Counts

76 → 40

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	1147
1	249	1094
2	556	1082
3	1324	1076
4	4324	1076
5	4961	1076

prune24.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	37	3	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	4	41

Error

0.0b

Counts

41 → 4

Compiler

Compiled 342 to 208 computations (39.2% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
0.0b	(+.f64 1/6 (*.f64 x 1/24))
0.3b	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
0.3b	(*.f64 x 1/24)

rewrite85.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
9×	`associate-l_binary64` `associate-r_binary64`
6×	`add-log-exp_binary64`
4×	`associate-*r/_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `flip3-+_binary64` `flip-+_binary64`
2×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
1×	`sum-log_binary64` `+-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 x 1/24)
6.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
5.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
3.0ms	(+.f64 1/6 (*.f64 x 1/24))

Compiler

Compiled 1414 to 1092 computations (22.8% saved)

series53.0ms (1.7%)

Error

0.0b

Counts

4 → 20

Calls

4 calls:

13.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
11.0ms	(+.f64 1/6 (*.f64 x 1/24))
11.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
6.0ms	(*.f64 x 1/24)

Compiler

Compiled 519 to 444 computations (14.5% saved)

simplify125.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

769×	`distribute-rgt-in_binary64`
755×	`distribute-lft-in_binary64`
285×	`*-commutative_binary64`
254×	`sub-neg_binary64`
163×	`associate-l_binary64`
148×	`sqr-pow_binary64`
138×	`associate--r+_binary64`
132×	`associate-r_binary64`
130×	`unswap-sqr_binary64`
119×	`distribute-rgt-neg-in_binary64`
117×	`neg-mul-1_binary64`
113×	`neg-sub0_binary64`
111×	`distribute-neg-in_binary64`
103×	`unsub-neg_binary64`
102×	`exp-prod_binary64`
97×	`distribute-lft-neg-in_binary64`
82×	`associate-+l+_binary64`
81×	`cancel-sign-sub-inv_binary64`
80×	`associate-+r+_binary64`
60×	`*-lft-identity_binary64`
58×	`*-rgt-identity_binary64`
49×	`exp-sum_binary64`
48×	`distribute-rgt-out_binary64`
39×	`pow-sqr_binary64`
32×	`swap-sqr_binary64`
28×	`+-commutative_binary64`
27×	`distribute-lft-neg-out_binary64`
23×	`log-prod_binary64`
20×	`distribute-rgt-neg-out_binary64`
18×	`cube-prod_binary64` `associate-+l-_binary64`
15×	`associate--l+_binary64`
12×	`unpow1/2_binary64`
10×	`sub0-neg_binary64`
9×	`distribute-rgt-out--_binary64`
7×	`unpow3_binary64` `associate-+r-_binary64`
5×	`pow-plus_binary64` `+-rgt-identity_binary64`
4×	`log-pow_binary64` `rem-sqrt-square_binary64` `associate-/l*_binary64`
3×	`cube-unmult_binary64` `cube-mult_binary64`
2×	`prod-exp_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `distribute-lft-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` `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-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` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_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` `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` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate-*l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

93 → 67

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	1188
1	315	1089
2	1058	1083
3	3490	1083
4	4315	1083
5	4984	1083
6	4884	1083

prune49.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	67	4	71

Error

0.0b

Counts

71 → 4

Compiler

Compiled 1071 to 822 computations (23.2% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3)) x)
0.0b	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
0.1b	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))
3.3b	(-.f64 (exp.f64 x) 1)

rewrite142.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

103×	`add-sqr-sqrt_binary64`
100×	`cbrt-prod_binary64`
90×	`*-un-lft-identity_binary64`
69×	`times-frac_binary64`
51×	`add-cube-cbrt_binary64`
42×	`unpow-prod-down_binary64` `cube-prod_binary64`
26×	`difference-of-squares_binary64`
23×	`associate-/l*_binary64`
13×	`difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
7×	`add-exp-log_binary64`
6×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `cube-div_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64`
5×	`pow1_binary64`
4×	`flip3--_binary64` `flip--_binary64` `cbrt-div_binary64`
3×	`cancel-sign-sub-inv_binary64` `pow-unpow_binary64` `associate-/r*_binary64`
2×	`associate-/l/_binary64`
1×	`diff-log_binary64` `sub-neg_binary64` `pow1/3_binary64` `rem-cbrt-cube_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 191

Calls

4 calls:

12.0ms	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3)) x)
6.0ms	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))
5.0ms	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
4.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 2515 to 1700 computations (32.4% saved)

series48.0ms (1.6%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

11.0ms	(pow.f64 (-.f64 (exp.f64 x) 1) 3)
9.0ms	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3)) x)
8.0ms	(-.f64 (exp.f64 x) 1)
7.0ms	(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3))

Compiler

Compiled 545 to 444 computations (18.5% saved)

simplify179.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

404×	`associate-/l*_binary64`
386×	`times-frac_binary64`
288×	`distribute-rgt-in_binary64`
275×	`distribute-lft-in_binary64`
265×	`unswap-sqr_binary64`
250×	`associate-*l/_binary64`
172×	`log-div_binary64`
156×	`associate-/l/_binary64`
150×	`associate-/r*_binary64`
76×	`associate-/r/_binary64`
70×	`sqr-pow_binary64`
56×	`associate-r_binary64`
52×	`exp-prod_binary64`
51×	`associate-l_binary64`
50×	`log-prod_binary64`
43×	`div-sub_binary64`
40×	`cube-prod_binary64`
38×	`+-commutative_binary64`
34×	`swap-sqr_binary64`
28×	`associate-+r+_binary64`
27×	`associate-+l+_binary64`
25×	`log-pow_binary64`
24×	`sub-neg_binary64`
23×	`*-commutative_binary64`
21×	`distribute-rgt-neg-in_binary64`
20×	`distribute-rgt-out_binary64`
18×	`cube-div_binary64`
14×	`unpow3_binary64` `neg-sub0_binary64` `/-rgt-identity_binary64` `distribute-neg-frac_binary64` `distribute-lft-neg-in_binary64` `distribute-lft-out_binary64`
13×	`cube-mult_binary64` `neg-mul-1_binary64` `mul-1-neg_binary64`
11×	`pow-sqr_binary64` `associate-*r/_binary64`
10×	`rem-cbrt-cube_binary64` `rem-sqrt-square_binary64`
8×	`pow-plus_binary64` `cube-unmult_binary64` `distribute-rgt1-in_binary64`
7×	`exp-sum_binary64` `*-rgt-identity_binary64`
6×	`*-lft-identity_binary64` `cancel-sign-sub-inv_binary64`
5×	`log-rec_binary64`
4×	`distribute-neg-in_binary64` `count-2_binary64`
3×	`prod-exp_binary64` `distribute-lft1-in_binary64`
2×	`unpow1/2_binary64` `unpow1_binary64` `exp-diff_binary64` `rem-3cbrt-lft_binary64` `unsub-neg_binary64` `difference-of-sqr-1_binary64` `distribute-lft-neg-out_binary64`
1×	`unpow2_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `difference-of-sqr--1_binary64` `distribute-frac-neg_binary64` `distribute-rgt-neg-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` `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` `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` `sqr-abs_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `--rgt-identity_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-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

215 → 179

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	3677
1	374	3474
2	1136	3444
3	4822	3444
4	5020	3444

prune54.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	180	3	183

Error

0.0b

Counts

183 → 3

Compiler

Compiled 1192 to 755 computations (36.7% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) (+.f64 (exp.f64 x) 1))
0.0b	(pow.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) (+.f64 (exp.f64 x) 1)) 3)
0.1b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) (+.f64 (exp.f64 x) 1)) 3))
3.5b	(+.f64 -1 (pow.f64 (exp.f64 2) x))

rewrite184.0ms (6.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

138×	`*-un-lft-identity_binary64`
80×	`times-frac_binary64`
52×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
50×	`cbrt-prod_binary64`
44×	`unpow-prod-down_binary64` `cube-prod_binary64`
43×	`distribute-lft-out_binary64`
10×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`add-log-exp_binary64`
5×	`pow1_binary64` `div-inv_binary64`
4×	`associate-/l_binary64` `associate-/r_binary64`
3×	`pow-unpow_binary64`
2×	`cube-div_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64` `div-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64`
1×	`sum-log_binary64` `+-commutative_binary64` `pow1/3_binary64` `cbrt-div_binary64` `rem-cbrt-cube_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 176

Calls

4 calls:

15.0ms	(pow.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) (+.f64 (exp.f64 x) 1)) 3)
13.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) (+.f64 (exp.f64 x) 1)) 3))
11.0ms	(/.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) (+.f64 (exp.f64 x) 1))
5.0ms	(+.f64 -1 (pow.f64 (exp.f64 2) x))

Compiler

Compiled 3000 to 2342 computations (21.9% saved)

series132.0ms (4.3%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

40.0ms	(pow.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) (+.f64 (exp.f64 x) 1)) 3)
23.0ms	(/.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) (+.f64 (exp.f64 x) 1))
21.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) (+.f64 (exp.f64 x) 1)) 3))
15.0ms	(+.f64 -1 (pow.f64 (exp.f64 2) x))

Compiler

Compiled 1833 to 1637 computations (10.7% saved)

simplify220.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

487×	`unswap-sqr_binary64`
395×	`cancel-sign-sub-inv_binary64`
326×	`log-prod_binary64`
149×	`sqr-pow_binary64`
131×	`associate-r_binary64`
127×	`log-div_binary64`
118×	`sub-neg_binary64`
117×	`distribute-rgt-neg-in_binary64`
106×	`associate-l_binary64`
91×	`div-sub_binary64`
82×	`exp-prod_binary64`
77×	`+-commutative_binary64`
68×	`cube-div_binary64` `associate-*l/_binary64`
66×	`*-commutative_binary64`
63×	`cube-prod_binary64`
62×	`associate-*r/_binary64`
59×	`associate-+r+_binary64`
58×	`associate-+l+_binary64`
57×	`associate-/l*_binary64`
55×	`swap-sqr_binary64`
49×	`distribute-rgt-in_binary64`
45×	`distribute-lft-in_binary64`
44×	`unpow3_binary64`
43×	`cube-mult_binary64` `associate--l+_binary64`
41×	`log-pow_binary64`
31×	`distribute-neg-in_binary64`
30×	`unsub-neg_binary64`
29×	`neg-sub0_binary64`
27×	`neg-mul-1_binary64` `associate--r+_binary64`
26×	`rem-cbrt-cube_binary64`
24×	`distribute-lft-neg-out_binary64`
23×	`times-frac_binary64`
22×	`associate-/l/_binary64`
21×	`pow-sqr_binary64`
19×	`-rgt-identity_binary64` `associate-/r_binary64`
18×	`*-lft-identity_binary64` `distribute-rgt-neg-out_binary64`
13×	`rem-sqrt-square_binary64`
9×	`pow-plus_binary64` `distribute-neg-frac_binary64`
8×	`cube-unmult_binary64` `mul-1-neg_binary64` `distribute-lft-neg-in_binary64`
7×	`prod-exp_binary64` `distribute-frac-neg_binary64` `associate-/r/_binary64`
6×	`distribute-rgt-out_binary64` `associate-+r-_binary64`
5×	`log-rec_binary64` `/-rgt-identity_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
4×	`exp-diff_binary64`
3×	`exp-sum_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `associate-+l-_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `*-inverses_binary64` `distribute-rgt1-in_binary64`
1×	`exp-to-pow_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `distribute-neg-out_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` `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-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `--rgt-identity_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

200 → 187

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	5915
1	722	5345
2	2231	5126
3	4804	5126
4	5157	5126

prune91.0ms (3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	186	1	187
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	187	3	190

Error

Counts

190 → 3

Compiler

Compiled 2140 to 1632 computations (23.7% saved)

regimes273.0ms (9%)

Accuracy

Total 0.2b remaining (89.1%)

Threshold costs 0.2b (89.1%)

Compiler

Compiled 2282 to 1948 computations (14.6% saved)

bsearch15.0ms (0.5%)

Steps

Iters	Range		Point
8	-0.05597272234466497	-3.5732668988397274e-06	-0.0008178455324951667

Compiler

Compiled 1 to 1 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`*-commutative_binary64`
1×	`1-exp_binary64` `sub-neg_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` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-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-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	60
1	40	60
2	41	60
3	39	60

end2.0ms (0%)

Compiler: Compiled 39 to 31 computations (20.5% saved)

sample1.0s (34%)

Algorithm

1×

intervals

Results

425.0ms	2674×	body	1024	valid
107.0ms	1283×	body	512	valid
75.0ms	3070×	body	128	valid
49.0ms	291×	body	2048	valid
37.0ms	682×	body	256	valid

Compiler

Compiled 112 to 93 computations (17% saved)

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9
0	1	1
1	1	1

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9
0	1	1
1	1	1

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9

Details

analyze30.0ms (1%)

sample32.0ms (1.1%)

simplify19.0ms (0.6%)

prune1.0ms (0%)

localize4.0ms (0.1%)

rewrite82.0ms (2.7%)

series28.0ms (0.9%)

simplify98.0ms (3.2%)

prune24.0ms (0.8%)

localize9.0ms (0.3%)

rewrite85.0ms (2.8%)

series53.0ms (1.7%)

simplify125.0ms (4.1%)

prune49.0ms (1.6%)

localize6.0ms (0.2%)

rewrite142.0ms (4.7%)

series48.0ms (1.6%)

simplify179.0ms (5.9%)

prune54.0ms (1.8%)

localize11.0ms (0.4%)

rewrite184.0ms (6.1%)

series132.0ms (4.3%)

simplify220.0ms (7.3%)

prune91.0ms (3%)

regimes273.0ms (9%)

bsearch15.0ms (0.5%)

simplify4.0ms (0.1%)

end2.0ms (0%)

sample1.0s (34%)

Profiling

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9
0	1	1
1	1	1

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9