Details

analyze989.0ms (16.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

969×	`div-sub_binary64`
897×	`unsub-neg_binary64`
754×	`sub-neg_binary64`
627×	`neg-mul-1_binary64`
593×	`distribute-rgt-in_binary64`
538×	`neg-sub0_binary64`
522×	`associate-/l*_binary64`
391×	`distribute-rgt-neg-in_binary64` `associate-/r*_binary64`
345×	`distribute-lft-neg-in_binary64`
336×	`cancel-sign-sub-inv_binary64`
329×	`distribute-frac-neg_binary64`
304×	`distribute-neg-frac_binary64`
260×	`*-commutative_binary64`
256×	`distribute-rgt-neg-out_binary64`
239×	`remove-double-neg_binary64`
236×	`distribute-lft-in_binary64`
207×	`distribute-lft-neg-out_binary64`
197×	`associate-+l-_binary64`
190×	`+-commutative_binary64`
140×	`distribute-neg-in_binary64`
123×	`associate--r+_binary64`
95×	`distribute-neg-out_binary64`
83×	`associate-+r+_binary64`
75×	`div0_binary64`
72×	`associate-/r/_binary64`
67×	`mul0-rgt_binary64` `associate-+l+_binary64`
63×	`mul0-lft_binary64`
62×	`/-rgt-identity_binary64`
56×	`sub0-neg_binary64` `distribute-rgt-out--_binary64`
52×	`associate-+r-_binary64`
49×	`associate--r-_binary64`
45×	`*-lft-identity_binary64`
38×	`distribute-rgt-out_binary64` `associate-r_binary64`
37×	`+-rgt-identity_binary64`
35×	`associate-*l/_binary64`
29×	`associate-*r/_binary64`
28×	`associate-l_binary64` `associate--l+_binary64`
25×	`associate--l-_binary64`
23×	`*-rgt-identity_binary64`
19×	`+-lft-identity_binary64`
18×	`distribute-rgt1-in_binary64`
11×	`distribute-lft-out--_binary64`
9×	`associate-/l/_binary64`
8×	`distribute-lft1-in_binary64`
7×	`mul-1-neg_binary64`
6×	`distribute-lft-out_binary64`
2×	`--rgt-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` `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` `*-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` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	91
1	70	91
2	146	91
3	287	91
4	585	91
5	1250	91
6	2136	91
7	3726	91
8	3755	91
9	4119	91
10	4254	91
11	4349	91
12	4567	91
13	4559	91
14	4611	91
15	4807	91
16	4921	91
17	4943	91
18	4943	91
19	4943	91
20	4968	91
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%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.9%	73.3%	0.8%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	67×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify59.0ms (1%)

Algorithm

1×	egg-herbie

Rules

203×	`cancel-sign-sub-inv_binary64`
145×	`distribute-rgt-in_binary64`
104×	`div-sub_binary64`
101×	`unsub-neg_binary64`
96×	`distribute-lft-in_binary64`
94×	`associate-/l*_binary64`
82×	`associate-r_binary64`
78×	`associate-l_binary64`
67×	`sub-neg_binary64`
63×	`distribute-rgt-neg-in_binary64`
55×	`associate-/r*_binary64`
52×	`distribute-rgt-neg-out_binary64`
46×	`distribute-lft-neg-out_binary64`
41×	`associate-/r/_binary64`
40×	`neg-mul-1_binary64`
38×	`distribute-lft-neg-in_binary64`
35×	`neg-sub0_binary64` `*-commutative_binary64`
34×	`associate--r+_binary64`
33×	`distribute-neg-in_binary64`
30×	`distribute-neg-frac_binary64`
27×	`associate-/l/_binary64`
26×	`mul0-lft_binary64` `associate-+l-_binary64`
24×	`associate-*l/_binary64`
23×	`mul0-rgt_binary64` `+-commutative_binary64`
21×	`associate-+l+_binary64`
20×	`associate-+r+_binary64`
15×	`distribute-rgt-out--_binary64`
13×	`sub0-neg_binary64` `+-lft-identity_binary64` `distribute-frac-neg_binary64`
11×	`remove-double-neg_binary64`
10×	`associate-+r-_binary64`
9×	`distribute-rgt-out_binary64` `associate--l+_binary64`
8×	`-rgt-identity_binary64` `associate-r/_binary64`
7×	`*-lft-identity_binary64`
6×	`div0_binary64` `associate--l-_binary64`
5×	`associate--r-_binary64`
4×	`/-rgt-identity_binary64`
3×	`--rgt-identity_binary64` `+-rgt-identity_binary64` `distribute-neg-out_binary64`
2×	`distribute-rgt1-in_binary64`
1×	`1-exp_binary64` `mul-1-neg_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_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-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` `*-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` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	30	13
3	57	13
4	114	13
5	185	13
6	304	13
7	504	13
8	754	13
9	848	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	13

prune2.0ms (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

6.6b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
6.5b	(/.f64 (*.f64 y (-.f64 z x)) t)

rewrite93.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `associate-r_binary64`
4×	`associate-*r/_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`times-frac_binary64` `associate-/r_binary64` `associate-l*_binary64`
2×	`prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `flip3--_binary64` `associate-/l/_binary64` `flip--_binary64` `sub-neg_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `-commutative_binary64`

Counts

3 → 65

Calls

3 calls:

8.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
7.0ms	(*.f64 y (-.f64 z x))
5.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))

Compiler

Compiled 1003 to 284 computations (71.7% saved)

series158.0ms (2.6%)

Error

0.3b

Counts

3 → 57

Calls

3 calls:

66.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
48.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
25.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 1082 to 847 computations (21.7% saved)

simplify89.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

583×	`times-frac_binary64`
500×	`distribute-rgt-in_binary64`
481×	`distribute-lft-in_binary64`
214×	`associate-/l/_binary64`
196×	`exp-prod_binary64`
90×	`associate-l_binary64`
80×	`*-commutative_binary64`
78×	`exp-sum_binary64`
77×	`associate-r_binary64`
74×	`associate-/l*_binary64`
69×	`distribute-rgt-neg-in_binary64`
66×	`sub-neg_binary64`
56×	`distribute-lft-neg-out_binary64`
55×	`log-div_binary64` `distribute-neg-frac_binary64` `associate-*l/_binary64`
53×	`div-sub_binary64`
51×	`cancel-sign-sub-inv_binary64`
50×	`log-prod_binary64` `distribute-rgt-neg-out_binary64`
46×	`distribute-lft-neg-in_binary64`
43×	`associate-*r/_binary64`
40×	`neg-sub0_binary64`
34×	`neg-mul-1_binary64`
33×	`distribute-neg-in_binary64`
30×	`+-commutative_binary64`
28×	`exp-diff_binary64`
25×	`*-rgt-identity_binary64`
24×	`sqr-pow_binary64`
23×	`cube-div_binary64`
21×	`*-lft-identity_binary64`
17×	`associate-/r*_binary64`
16×	`unpow3_binary64` `cube-prod_binary64`
15×	`log-rec_binary64`
13×	`exp-neg_binary64` `associate-/r/_binary64`
10×	`/-rgt-identity_binary64` `swap-sqr_binary64`
7×	`unsub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64`
6×	`cube-mult_binary64`
5×	`distribute-rgt-out_binary64` `associate--l+_binary64` `associate-+l+_binary64`
4×	`cube-unmult_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `distribute-rgt-out--_binary64`
3×	`cancel-sign-sub_binary64`
2×	`associate--r-_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`unpow1/2_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64` `pow-sqr_binary64` `distribute-frac-neg_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_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` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `sub0-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` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

122 → 84

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	151	1455
1	387	1318
2	1340	1318
3	4641	1318
4	5049	1318

prune43.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	76	8	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	9	85

Error

0.0b

Counts

85 → 9

Compiler

Compiled 633 to 235 computations (62.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 t)
0.6b	(*.f64 (cbrt.f64 t) (cbrt.f64 t))
1.9b	(/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (-.f64 z x)) (cbrt.f64 t))
4.0b	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (-.f64 z x))

rewrite189.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`add-sqr-sqrt_binary64`
29×	`add-exp-log_binary64`
25×	`cbrt-prod_binary64`
24×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
19×	`add-cbrt-cube_binary64`
13×	`pow1_binary64` `associate-l_binary64`
11×	`associate-r_binary64`
10×	`times-frac_binary64`
9×	`prod-exp_binary64` `cbrt-unprod_binary64`
8×	`div-exp_binary64` `cbrt-undiv_binary64`
7×	`pow1/3_binary64`
6×	`unswap-sqr_binary64` `cancel-sign-sub-inv_binary64` `associate-/r*_binary64` `swap-sqr_binary64`
5×	`associate-/l/_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `frac-times_binary64` `flip--_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64`
3×	`pow-prod-down_binary64`
2×	`sub-neg_binary64` `associate-l/_binary64` `div-inv_binary64` `-commutative_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l*_binary64` `pow2_binary64` `pow-plus_binary64`

Counts

4 → 129

Calls

4 calls:

16.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (-.f64 z x))
13.0ms	(/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (-.f64 z x)) (cbrt.f64 t))
6.0ms	(*.f64 (cbrt.f64 t) (cbrt.f64 t))
1.0ms	(cbrt.f64 t)

Compiler

Compiled 2872 to 638 computations (77.8% saved)

series253.0ms (4.1%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

143.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (-.f64 z x))
55.0ms	(/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (-.f64 z x)) (cbrt.f64 t))
21.0ms	(*.f64 (cbrt.f64 t) (cbrt.f64 t))
16.0ms	(cbrt.f64 t)

Compiler

Compiled 1504 to 1210 computations (19.5% saved)

simplify154.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

472×	`distribute-rgt-in_binary64`
213×	`associate-l_binary64`
211×	`unswap-sqr_binary64`
197×	`associate-r_binary64`
175×	`log-div_binary64`
170×	`log-prod_binary64` `times-frac_binary64`
145×	`associate-/r*_binary64`
141×	`associate-/l*_binary64`
122×	`*-commutative_binary64`
119×	`associate-*l/_binary64`
115×	`div-sub_binary64`
100×	`distribute-rgt-neg-in_binary64`
88×	`distribute-lft-neg-in_binary64`
80×	`associate-*r/_binary64`
79×	`cancel-sign-sub-inv_binary64`
67×	`associate-/l/_binary64`
65×	`sub-neg_binary64`
63×	`distribute-neg-frac_binary64`
54×	`distribute-lft-in_binary64`
52×	`sqr-pow_binary64`
47×	`distribute-rgt-neg-out_binary64`
44×	`swap-sqr_binary64`
43×	`unpow3_binary64` `exp-prod_binary64` `neg-sub0_binary64`
42×	`cube-prod_binary64`
41×	`distribute-lft-neg-out_binary64`
37×	`neg-mul-1_binary64`
36×	`*-rgt-identity_binary64`
34×	`cube-div_binary64`
33×	`log-pow_binary64`
31×	`*-lft-identity_binary64`
29×	`/-rgt-identity_binary64`
21×	`associate-/r/_binary64`
18×	`+-commutative_binary64`
16×	`pow-plus_binary64` `distribute-frac-neg_binary64` `distribute-neg-in_binary64` `distribute-rgt-out_binary64`
15×	`log-rec_binary64`
12×	`cube-unmult_binary64`
10×	`rem-sqrt-square_binary64`
9×	`mul-1-neg_binary64` `distribute-lft-out_binary64`
7×	`exp-sum_binary64` `pow-sqr_binary64`
6×	`associate-+l-_binary64`
5×	`unsub-neg_binary64` `distribute-rgt-out--_binary64` `associate--l+_binary64` `associate-+l+_binary64`
4×	`unpow1/3_binary64` `unpow1/2_binary64` `exp-diff_binary64` `distribute-lft-out--_binary64`
3×	`unpow2_binary64` `cube-mult_binary64` `rem-3cbrt-lft_binary64` `difference-of-squares_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
2×	`unpow1_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `count-2_binary64` `associate--l-_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` `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` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `sub0-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` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64`

Counts

171 → 142

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	220	3146
1	566	2242
2	2472	2218
3	4666	2195
4	4972	2195
5	4981	2195

prune80.0ms (1.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	141	10	151

Error

Counts

151 → 10

Compiler

Compiled 1610 to 693 computations (57% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 1 (/.f64 (/.f64 t y) (-.f64 z x))))
0.5b	(/.f64 1 (/.f64 (/.f64 t y) (-.f64 z x)))
4.7b	(/.f64 (/.f64 t y) (-.f64 z x))

rewrite529.0ms (8.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

772×	`times-frac_binary64`
462×	`*-un-lft-identity_binary64`
459×	`add-sqr-sqrt_binary64`
327×	`add-cube-cbrt_binary64`
76×	`associate-/r*_binary64`
66×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
33×	`div-inv_binary64`
29×	`add-exp-log_binary64`
18×	`div-exp_binary64`
17×	`add-cbrt-cube_binary64`
16×	`associate-/l*_binary64`
11×	`associate-/r/_binary64`
9×	`cbrt-undiv_binary64`
5×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
4×	`pow1_binary64`
3×	`1-exp_binary64` `rec-exp_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `distribute-lft-out_binary64`
1×	`associate-/l/_binary64` `inv-pow_binary64` `pow-flip_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

3 → 425

Calls

3 calls:

63.0ms	(+.f64 x (/.f64 1 (/.f64 (/.f64 t y) (-.f64 z x))))
22.0ms	(/.f64 1 (/.f64 (/.f64 t y) (-.f64 z x)))
9.0ms	(/.f64 (/.f64 t y) (-.f64 z x))

Compiler

Compiled 9171 to 2990 computations (67.4% saved)

series185.0ms (3%)

Error

Counts

3 → 60

Calls

3 calls:

67.0ms	(+.f64 x (/.f64 1 (/.f64 (/.f64 t y) (-.f64 z x))))
50.0ms	(/.f64 (/.f64 t y) (-.f64 z x))
48.0ms	(/.f64 1 (/.f64 (/.f64 t y) (-.f64 z x)))

Compiler

Compiled 1428 to 1094 computations (23.4% saved)

simplify469.0ms (7.7%)

Algorithm

1×	egg-herbie

Rules

619×	`associate-/r/_binary64`
480×	`associate-/l/_binary64`
296×	`associate-*l/_binary64`
255×	`*-commutative_binary64`
161×	`div-sub_binary64`
153×	`associate-/l*_binary64`
151×	`associate-*r/_binary64`
149×	`associate-/r*_binary64`
148×	`neg-mul-1_binary64`
131×	`distribute-rgt-in_binary64`
124×	`distribute-lft-in_binary64`
120×	`*-rgt-identity_binary64`
102×	`cancel-sign-sub-inv_binary64`
95×	`associate-r_binary64`
84×	`sub-neg_binary64`
64×	`times-frac_binary64`
63×	`distribute-rgt-neg-out_binary64`
59×	`distribute-neg-frac_binary64`
54×	`neg-sub0_binary64`
49×	`associate-l_binary64`
46×	`exp-prod_binary64`
42×	`cube-prod_binary64`
41×	`+-commutative_binary64`
36×	`log-div_binary64`
32×	`cube-div_binary64`
30×	`/-rgt-identity_binary64`
28×	`sqr-pow_binary64`
25×	`log-prod_binary64`
24×	`exp-sum_binary64` `distribute-neg-in_binary64`
23×	`unswap-sqr_binary64`
22×	`*-lft-identity_binary64` `remove-double-div_binary64`
18×	`distribute-rgt-neg-in_binary64`
14×	`unpow3_binary64`
13×	`swap-sqr_binary64`
11×	`log-rec_binary64` `cube-mult_binary64` `distribute-lft-neg-in_binary64`
9×	`exp-diff_binary64` `associate-+r+_binary64`
8×	`mul-1-neg_binary64`
7×	`cube-unmult_binary64` `unsub-neg_binary64` `associate--r-_binary64`
6×	`difference-of-squares_binary64` `associate--r+_binary64`
5×	`distribute-lft-neg-out_binary64`
4×	`associate-+r-_binary64` `associate-+l+_binary64`
3×	`distribute-rgt-out--_binary64` `associate--l+_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `exp-neg_binary64` `rem-sqrt-square_binary64` `sub0-neg_binary64` `+-lft-identity_binary64` `associate-+l-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `div0_binary64` `distribute-neg-out_binary64` `distribute-rgt-out_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` `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` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

485 → 400

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	491	12529
1	1225	11621
2	4251	11499
3	4612	11499
4	4991	11499

prune182.0ms (3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	398	2	400
Fresh	4	3	7
Picked	0	1	1
Done	1	1	2
Total	403	7	410

Error

Counts

410 → 7

Compiler

Compiled 4678 to 1262 computations (73% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (neg.f64 y) (/.f64 t (-.f64 x z))))
0.0b	(/.f64 t (-.f64 x z))
6.6b	(/.f64 (neg.f64 y) (/.f64 t (-.f64 x z)))

rewrite315.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

390×	`times-frac_binary64`
254×	`*-un-lft-identity_binary64`
252×	`add-sqr-sqrt_binary64`
178×	`add-cube-cbrt_binary64`
66×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
37×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
26×	`associate-/r*_binary64`
25×	`associate-/r/_binary64`
22×	`neg-mul-1_binary64`
13×	`div-inv_binary64` `associate-/l*_binary64`
12×	`flip3--_binary64` `flip--_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`add-log-exp_binary64`
4×	`div-exp_binary64` `cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`frac-2neg_binary64` `neg-sub0_binary64` `div-sub_binary64` `clear-num_binary64` `distribute-frac-neg_binary64`
1×	`sum-log_binary64` `flip3-+_binary64` `unsub-neg_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `associate-+r-_binary64` `+-commutative_binary64`

Counts

3 → 309

Calls

3 calls:

53.0ms	(+.f64 x (/.f64 (neg.f64 y) (/.f64 t (-.f64 x z))))
13.0ms	(/.f64 (neg.f64 y) (/.f64 t (-.f64 x z)))
5.0ms	(/.f64 t (-.f64 x z))

Compiler

Compiled 5632 to 1277 computations (77.3% saved)

series168.0ms (2.7%)

Error

Counts

3 → 60

Calls

3 calls:

63.0ms	(+.f64 x (/.f64 (neg.f64 y) (/.f64 t (-.f64 x z))))
53.0ms	(/.f64 (neg.f64 y) (/.f64 t (-.f64 x z)))
36.0ms	(/.f64 t (-.f64 x z))

Compiler

Compiled 1424 to 1090 computations (23.5% saved)

simplify250.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

436×	`div-sub_binary64`
409×	`associate-/r/_binary64`
312×	`associate-/l/_binary64`
273×	`associate-*l/_binary64`
271×	`*-commutative_binary64`
258×	`associate-/l*_binary64`
158×	`distribute-rgt-in_binary64`
150×	`distribute-lft-in_binary64`
142×	`distribute-frac-neg_binary64`
124×	`neg-sub0_binary64`
123×	`associate-*r/_binary64`
122×	`neg-mul-1_binary64`
97×	`associate-r_binary64`
80×	`distribute-rgt-neg-in_binary64`
66×	`associate-/r*_binary64`
64×	`times-frac_binary64`
58×	`associate-l_binary64`
41×	`+-commutative_binary64`
36×	`sub-neg_binary64` `distribute-lft-neg-out_binary64`
30×	`distribute-neg-frac_binary64`
29×	`cube-prod_binary64`
25×	`distribute-rgt-neg-out_binary64`
23×	`exp-prod_binary64`
21×	`cube-div_binary64`
19×	`log-prod_binary64`
17×	`log-div_binary64` `exp-sum_binary64` `cancel-sign-sub-inv_binary64`
15×	`distribute-lft-neg-in_binary64`
13×	`/-rgt-identity_binary64`
12×	`sqr-pow_binary64`
10×	`mul-1-neg_binary64`
8×	`unpow3_binary64`
6×	`exp-diff_binary64`
5×	`cube-neg_binary64` `associate-+l+_binary64`
4×	`cube-unmult_binary64` `cube-mult_binary64` `sqr-neg_binary64` `distribute-neg-in_binary64` `associate-+r+_binary64`
3×	`remove-double-div_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64` `associate--r+_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `unsub-neg_binary64` `div0_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `associate--r-_binary64` `associate--l+_binary64`
1×	`prod-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `distribute-rgt-out_binary64` `associate-+l-_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` `pow-base-0_binary64` `unpow1/3_binary64` `pow-plus_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` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_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` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

369 → 280

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	460	8777
1	1131	8449
2	4577	8449
3	5207	8449

prune131.0ms (2.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	279	1	280
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	280	7	287

Error

Counts

287 → 7

Compiler

Compiled 3297 to 710 computations (78.5% saved)

regimes654.0ms (10.7%)

Accuracy

Total 1.9b remaining (99.2%)

Threshold costs 0b (0%)

Compiler

Compiled 7247 to 5687 computations (21.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64` `*-commutative_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_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` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_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	9	13
1	13	13
2	18	13
3	20	13
4	21	13
5	21	13

end1.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

sample1.1s (17.5%)

Algorithm

1×

intervals

Results

265.0ms	8000×	body	128	valid
68.0ms	2124×	body	128	invalid

Compiler

Compiled 113 to 112 computations (0.9% saved)

Iter	Nodes	Cost
0	9	13
1	15	13
2	30	13
3	57	13
4	114	13
5	185	13
6	304	13
7	504	13
8	754	13
9	848	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	13

Iter	Nodes	Cost
0	9	13
1	15	13
2	30	13
3	57	13
4	114	13
5	185	13
6	304	13
7	504	13
8	754	13
9	848	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	13

Details

analyze989.0ms (16.1%)

sample24.0ms (0.4%)

simplify59.0ms (1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite93.0ms (1.5%)

series158.0ms (2.6%)

simplify89.0ms (1.5%)

prune43.0ms (0.7%)

localize11.0ms (0.2%)

rewrite189.0ms (3.1%)

series253.0ms (4.1%)

simplify154.0ms (2.5%)

prune80.0ms (1.3%)

localize8.0ms (0.1%)

rewrite529.0ms (8.6%)

series185.0ms (3%)

simplify469.0ms (7.7%)

prune182.0ms (3%)

localize8.0ms (0.1%)

rewrite315.0ms (5.1%)

series168.0ms (2.7%)

simplify250.0ms (4.1%)

prune131.0ms (2.1%)

regimes654.0ms (10.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.1s (17.5%)

Profiling

Iter	Nodes	Cost
0	9	13
1	15	13
2	30	13
3	57	13
4	114	13
5	185	13
6	304	13
7	504	13
8	754	13
9	848	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	13