Details

analyze904.0ms (18.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

760×	`unsub-neg_binary64`
699×	`div-sub_binary64`
554×	`sub-neg_binary64`
537×	`associate-/l*_binary64`
519×	`neg-mul-1_binary64`
516×	`distribute-rgt-in_binary64`
433×	`neg-sub0_binary64`
396×	`associate-/r*_binary64`
381×	`*-commutative_binary64`
378×	`distribute-frac-neg_binary64`
367×	`distribute-rgt-neg-in_binary64`
355×	`distribute-lft-neg-in_binary64`
340×	`cancel-sign-sub-inv_binary64`
295×	`distribute-neg-frac_binary64`
261×	`associate--r+_binary64`
237×	`distribute-lft-in_binary64`
224×	`distribute-rgt-neg-out_binary64`
209×	`distribute-lft-neg-out_binary64`
165×	`+-commutative_binary64`
158×	`remove-double-neg_binary64`
145×	`distribute-neg-in_binary64`
112×	`associate-+l-_binary64`
105×	`distribute-neg-out_binary64`
92×	`associate--l+_binary64`
79×	`associate-+r+_binary64`
68×	`/-rgt-identity_binary64` `distribute-rgt-out--_binary64`
67×	`div0_binary64`
66×	`mul0-rgt_binary64`
63×	`associate-/r/_binary64`
62×	`mul0-lft_binary64`
59×	`associate-+l+_binary64`
55×	`sub0-neg_binary64`
53×	`distribute-rgt-out_binary64`
51×	`associate-*l/_binary64`
41×	`associate-r_binary64`
38×	`associate-+r-_binary64`
36×	`+-rgt-identity_binary64`
30×	`associate-*r/_binary64`
27×	`*-lft-identity_binary64`
26×	`distribute-lft-out--_binary64` `associate-l_binary64` `associate--l-_binary64`
23×	`associate--r-_binary64`
19×	`+-lft-identity_binary64`
16×	`*-rgt-identity_binary64`
12×	`distribute-rgt1-in_binary64`
11×	`associate-/l/_binary64`
8×	`distribute-lft1-in_binary64`
2×	`distribute-lft-out_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` `mul-1-neg_binary64` `--rgt-identity_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	31	91
1	69	91
2	184	91
3	332	91
4	615	91
5	1292	91
6	2231	91
7	3697	91
8	3786	91
9	4062	91
10	4186	91
11	4326	91
12	4483	91
13	4571	91
14	4845	91
15	4963	91
16	4963	91
17	4963	91
18	4914	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
3.1%	96.7%	0.2%	8
17.2%	82.7%	0.2%	9
21.8%	78%	0.2%	10
30%	68.8%	1.2%	11
31.8%	65.3%	2.9%	12
40.1%	55.3%	4.6%	13
44.5%	50.1%	5.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample26.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	59×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify58.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

220×	`cancel-sign-sub-inv_binary64`
144×	`distribute-rgt-in_binary64`
112×	`div-sub_binary64`
99×	`distribute-lft-in_binary64`
98×	`unsub-neg_binary64`
92×	`associate-/l*_binary64`
80×	`sub-neg_binary64`
69×	`associate-r_binary64`
64×	`associate-l_binary64`
62×	`distribute-rgt-neg-in_binary64`
54×	`associate-/r*_binary64`
51×	`distribute-rgt-neg-out_binary64`
46×	`distribute-lft-neg-out_binary64`
42×	`neg-mul-1_binary64`
39×	`*-commutative_binary64`
37×	`associate-/r/_binary64`
35×	`distribute-neg-in_binary64` `distribute-lft-neg-in_binary64` `associate--r+_binary64`
34×	`neg-sub0_binary64`
28×	`associate-+l-_binary64`
27×	`distribute-neg-frac_binary64` `associate-/l/_binary64`
26×	`mul0-lft_binary64` `associate-*l/_binary64`
25×	`mul0-rgt_binary64`
18×	`+-commutative_binary64`
17×	`sub0-neg_binary64` `+-lft-identity_binary64`
15×	`distribute-rgt-out--_binary64`
13×	`associate-+l+_binary64` `associate-+r+_binary64`
12×	`remove-double-neg_binary64` `distribute-frac-neg_binary64` `associate-+r-_binary64`
11×	`associate--r-_binary64`
10×	`associate-*r/_binary64`
9×	`*-lft-identity_binary64` `distribute-rgt-out_binary64`
8×	`*-rgt-identity_binary64` `associate--l+_binary64`
6×	`div0_binary64`
5×	`--rgt-identity_binary64`
4×	`/-rgt-identity_binary64`
3×	`+-rgt-identity_binary64` `associate--l-_binary64`
1×	`1-exp_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_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` `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-lft-out--_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	35	13
3	65	13
4	118	13
5	196	13
6	304	13
7	523	13
8	734	13
9	869	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)

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

Error

0.9b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
5.7b	(*.f64 (/.f64 x y) (-.f64 z t))

rewrite88.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

21×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`
13×	`associate-l_binary64`
12×	`cancel-sign-sub-inv_binary64`
10×	`times-frac_binary64`
8×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-+l+_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`pow1_binary64` `add-log-exp_binary64` `sub-neg_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `flip3--_binary64` `frac-times_binary64` `flip--_binary64` `unswap-sqr_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-l/_binary64` `div-inv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

2 → 65

Calls

2 calls:

10.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
9.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

Compiler

Compiled 1104 to 282 computations (74.5% saved)

series122.0ms (2.5%)

Error

0.0b

Counts

2 → 42

Calls

2 calls:

64.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
45.0ms	(*.f64 (/.f64 x y) (-.f64 z t))

Compiler

Compiled 852 to 640 computations (24.9% saved)

simplify104.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

510×	`times-frac_binary64`
383×	`distribute-rgt-in_binary64`
359×	`distribute-lft-in_binary64`
294×	`associate-*l/_binary64`
253×	`*-commutative_binary64`
245×	`associate-*r/_binary64`
238×	`associate-/l*_binary64`
197×	`div-sub_binary64`
116×	`neg-sub0_binary64`
109×	`neg-mul-1_binary64`
98×	`associate-l_binary64`
94×	`exp-prod_binary64`
81×	`associate-r_binary64`
56×	`+-commutative_binary64`
55×	`log-prod_binary64`
54×	`associate-/r*_binary64`
53×	`distribute-lft-neg-out_binary64`
51×	`exp-sum_binary64`
50×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-out_binary64`
49×	`sub-neg_binary64`
44×	`distribute-rgt-neg-in_binary64`
40×	`associate-/r/_binary64`
39×	`associate-+l+_binary64`
35×	`cube-prod_binary64`
34×	`associate-+r+_binary64`
33×	`exp-diff_binary64`
31×	`log-div_binary64`
29×	`distribute-lft-neg-in_binary64`
24×	`associate-+l-_binary64`
23×	`sqr-pow_binary64`
21×	`associate-+r-_binary64`
20×	`cube-div_binary64`
18×	`distribute-neg-frac_binary64`
17×	`distribute-rgt-out_binary64`
16×	`*-lft-identity_binary64` `distribute-neg-in_binary64` `associate-/l/_binary64`
15×	`unsub-neg_binary64`
14×	`*-rgt-identity_binary64`
13×	`unswap-sqr_binary64`
11×	`unpow3_binary64` `swap-sqr_binary64`
10×	`associate--r+_binary64`
9×	`distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
7×	`exp-neg_binary64` `cube-mult_binary64` `mul-1-neg_binary64` `associate--l+_binary64`
5×	`log-rec_binary64` `cube-unmult_binary64`
4×	`sqr-neg_binary64` `difference-of-squares_binary64`
3×	`cube-neg_binary64` `associate--r-_binary64`
2×	`+-rgt-identity_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_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` `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` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `remove-double-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-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

107 → 88

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	1436
1	423	1370
2	1156	1361
3	3550	1361
4	4969	1361
5	4983	1361

prune47.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	82	6	88
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	7	89

Error

0.0b

Counts

89 → 7

Compiler

Compiled 731 to 234 computations (68% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.5b	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 x y))))
10.9b	(cbrt.f64 (/.f64 x y))
10.9b	(cbrt.f64 (/.f64 x y))
10.9b	(cbrt.f64 (/.f64 x y))

rewrite160.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

39×	`cbrt-div_binary64` `cbrt-prod_binary64`
29×	`frac-times_binary64`
27×	`times-frac_binary64`
25×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
17×	`associate-*l/_binary64`
16×	`pow1_binary64` `add-exp-log_binary64`
15×	`associate-*r/_binary64`
10×	`add-cbrt-cube_binary64`
8×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `flip3--_binary64` `flip--_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `div-inv_binary64`
1×	`associate-l_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

4 → 111

Calls

4 calls:

21.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 x y))))
2.0ms	(cbrt.f64 (/.f64 x y))
2.0ms	(cbrt.f64 (/.f64 x y))
2.0ms	(cbrt.f64 (/.f64 x y))

Compiler

Compiled 3042 to 566 computations (81.4% saved)

series205.0ms (4.2%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

59.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 x y))))
42.0ms	(cbrt.f64 (/.f64 x y))
42.0ms	(cbrt.f64 (/.f64 x y))
40.0ms	(cbrt.f64 (/.f64 x y))

Compiler

Compiled 1844 to 1267 computations (31.3% saved)

simplify92.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

486×	`distribute-rgt-in_binary64`
482×	`distribute-lft-in_binary64`
321×	`associate-*l/_binary64`
294×	`associate-/l*_binary64`
207×	`times-frac_binary64`
196×	`associate-l_binary64` `associate-r_binary64`
145×	`associate-/r*_binary64`
105×	`*-commutative_binary64`
64×	`cancel-sign-sub-inv_binary64`
53×	`associate-/r/_binary64`
39×	`distribute-rgt-neg-in_binary64`
38×	`distribute-lft-neg-in_binary64`
36×	`sub-neg_binary64`
34×	`associate-/l/_binary64`
33×	`exp-prod_binary64`
31×	`sqr-pow_binary64`
30×	`distribute-lft-neg-out_binary64`
27×	`distribute-rgt-neg-out_binary64`
25×	`div-sub_binary64`
24×	`associate-*r/_binary64`
23×	`neg-sub0_binary64`
22×	`exp-sum_binary64`
21×	`unswap-sqr_binary64`
18×	`+-commutative_binary64`
17×	`neg-mul-1_binary64`
16×	`log-prod_binary64` `distribute-neg-frac_binary64`
13×	`log-div_binary64` `swap-sqr_binary64`
12×	`distribute-frac-neg_binary64`
11×	`exp-diff_binary64` `mul-1-neg_binary64`
9×	`distribute-neg-in_binary64`
8×	`cube-unmult_binary64` `cube-prod_binary64` `associate-+r+_binary64`
7×	`unsub-neg_binary64` `distribute-rgt-out_binary64` `associate-+l+_binary64`
5×	`cube-div_binary64` `*-rgt-identity_binary64` `pow-sqr_binary64`
4×	`exp-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64`
3×	`unpow1/3_binary64` `unpow3_binary64` `exp-to-pow_binary64` `cube-mult_binary64` `rem-3cbrt-lft_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `difference-of-squares_binary64`
2×	`log-rec_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+r-_binary64`
1×	`log-pow_binary64` `pow-plus_binary64` `1-exp_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `*-lft-identity_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_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` `unpow2_binary64` `unpow1/2_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_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-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

147 → 87

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	2973
1	479	2445
2	1315	2385
3	5165	2385

prune42.0ms (0.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	87	7	94

Error

0.0b

Counts

94 → 7

Compiler

Compiled 1074 to 328 computations (69.5% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
2.9b	(*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y)))
3.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y))))

rewrite159.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

87×	`add-exp-log_binary64`
46×	`prod-exp_binary64`
35×	`add-cbrt-cube_binary64`
32×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
23×	`times-frac_binary64` `associate-r_binary64`
22×	`add-cube-cbrt_binary64`
20×	`div-exp_binary64` `cbrt-unprod_binary64`
16×	`cbrt-prod_binary64`
12×	`associate-l_binary64`
11×	`pow1_binary64` `frac-times_binary64`
10×	`cbrt-undiv_binary64`
8×	`associate-*r/_binary64`
7×	`associate-*l/_binary64`
6×	`1-exp_binary64` `rec-exp_binary64` `flip3--_binary64` `flip--_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64`
3×	`unswap-sqr_binary64`
2×	`div-inv_binary64` `*-commutative_binary64` `pow1/3_binary64`
1×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 129

Calls

4 calls:

17.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y))))
12.0ms	(*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 3281 to 916 computations (72.1% saved)

series215.0ms (4.4%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

115.0ms	(*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y)))
54.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y))))
15.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 y)

Compiler

Compiled 1614 to 1226 computations (24% saved)

simplify97.0ms (2%)

Algorithm

1×	egg-herbie

Rules

574×	`distribute-rgt-in_binary64`
566×	`distribute-lft-in_binary64`
260×	`associate-r_binary64`
235×	`associate-l_binary64`
151×	`*-commutative_binary64`
130×	`associate-/l*_binary64`
108×	`times-frac_binary64`
107×	`associate-*l/_binary64`
104×	`associate-*r/_binary64`
78×	`associate-/r*_binary64`
74×	`div-sub_binary64`
63×	`cancel-sign-sub-inv_binary64`
58×	`sub-neg_binary64` `distribute-lft-neg-out_binary64`
53×	`*-lft-identity_binary64`
52×	`log-prod_binary64` `distribute-rgt-neg-out_binary64`
47×	`distribute-rgt-neg-in_binary64`
45×	`*-rgt-identity_binary64`
44×	`exp-prod_binary64`
41×	`sqr-pow_binary64` `distribute-lft-neg-in_binary64`
38×	`log-div_binary64`
37×	`unswap-sqr_binary64`
32×	`associate-/l/_binary64`
31×	`swap-sqr_binary64`
30×	`cube-div_binary64`
28×	`cube-prod_binary64`
25×	`+-commutative_binary64`
22×	`neg-sub0_binary64`
20×	`associate-+l-_binary64`
19×	`neg-mul-1_binary64` `associate-+r+_binary64`
15×	`distribute-neg-frac_binary64`
14×	`/-rgt-identity_binary64`
12×	`distribute-neg-in_binary64`
11×	`associate-/r/_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
10×	`exp-sum_binary64`
9×	`cube-unmult_binary64` `distribute-frac-neg_binary64`
8×	`distribute-rgt-out--_binary64` `distribute-rgt-out_binary64`
7×	`log-rec_binary64` `mul-1-neg_binary64`
5×	`exp-diff_binary64`
4×	`log-pow_binary64` `unpow1/3_binary64` `pow-plus_binary64` `pow-sqr_binary64` `associate--r+_binary64`
3×	`unpow3_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `unsub-neg_binary64` `difference-of-squares_binary64`
2×	`sub0-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `distribute-lft-out--_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `distribute-lft-out_binary64` `count-2_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` `unpow2_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `remove-double-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` `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--l-_binary64`

Counts

171 → 121

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	234	3331
1	569	2209
2	2368	2203
3	5429	2203

prune51.0ms (1.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	121	7	128

Error

0.0b

Counts

128 → 7

Compiler

Compiled 1182 to 452 computations (61.8% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
0.0b	(/.f64 (-.f64 z t) y)
5.9b	(*.f64 x (/.f64 (-.f64 z t) y))

rewrite115.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `associate-/l*_binary64`
3×	`associate-l_binary64` `associate-/r*_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64` `associate-/l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `flip3--_binary64` `flip--_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

3 → 87

Calls

3 calls:

10.0ms	(*.f64 x (/.f64 (-.f64 z t) y))
7.0ms	(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
6.0ms	(/.f64 (-.f64 z t) y)

Compiler

Compiled 1369 to 344 computations (74.9% saved)

series358.0ms (7.4%)

Error

0.0b

Counts

3 → 57

Calls

3 calls:

227.0ms	(/.f64 (-.f64 z t) y)
69.0ms	(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
47.0ms	(*.f64 x (/.f64 (-.f64 z t) y))

Compiler

Compiled 1137 to 864 computations (24% saved)

simplify150.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

433×	`distribute-rgt-in_binary64`
414×	`distribute-lft-in_binary64`
409×	`associate-l_binary64`
362×	`associate-*l/_binary64`
341×	`associate-*r/_binary64`
257×	`associate-/l*_binary64`
237×	`div-sub_binary64`
119×	`exp-prod_binary64`
116×	`times-frac_binary64`
101×	`associate-/l/_binary64`
91×	`unsub-neg_binary64`
86×	`sub-neg_binary64`
84×	`associate-/r/_binary64`
81×	`neg-sub0_binary64`
77×	`*-commutative_binary64`
75×	`associate-/r*_binary64`
74×	`associate-r_binary64`
72×	`log-prod_binary64`
70×	`*-rgt-identity_binary64`
69×	`*-lft-identity_binary64`
63×	`exp-diff_binary64`
62×	`log-div_binary64`
56×	`exp-sum_binary64`
54×	`cube-div_binary64` `neg-mul-1_binary64`
44×	`cancel-sign-sub-inv_binary64`
39×	`sqr-pow_binary64`
38×	`cube-prod_binary64`
34×	`distribute-neg-frac_binary64`
33×	`distribute-rgt-neg-in_binary64`
32×	`+-commutative_binary64`
31×	`distribute-lft-neg-out_binary64`
29×	`unpow3_binary64` `/-rgt-identity_binary64`
23×	`distribute-rgt-neg-out_binary64`
22×	`cube-mult_binary64`
21×	`distribute-lft-neg-in_binary64`
20×	`distribute-neg-in_binary64`
15×	`mul-1-neg_binary64`
11×	`distribute-rgt-out_binary64`
10×	`remove-double-neg_binary64`
9×	`log-rec_binary64`
8×	`unswap-sqr_binary64`
7×	`sqr-neg_binary64` `distribute-rgt-out--_binary64`
5×	`cube-unmult_binary64` `cube-neg_binary64` `distribute-lft-out_binary64`
4×	`pow-sqr_binary64` `swap-sqr_binary64` `associate-+l+_binary64`
3×	`exp-neg_binary64` `remove-double-div_binary64`
2×	`unpow1/2_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `difference-of-squares_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` `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` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

144 → 88

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	1856
1	411	1761
2	1229	1752
3	4026	1752
4	4691	1752
5	4997	1752
6	4968	1752

prune34.0ms (0.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	3	0	3
Picked	0	1	1
Done	0	3	3
Total	88	7	95

Error

0.0b

Counts

95 → 7

Compiler

Compiled 563 to 155 computations (72.5% saved)

regimes899.0ms (18.6%)

Accuracy

Total 1.0b remaining (98.2%)

Threshold costs 1.0b (98.2%)

Compiler

Compiled 12606 to 8356 computations (33.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64` `+-commutative_binary64`
2×	`sub-neg_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	15	37
1	20	37
2	25	37
3	27	37
4	28	37
5	28	37

end1.0ms (0%)

Compiler: Compiled 23 to 14 computations (39.1% saved)

sample867.0ms (17.9%)

Algorithm

1×

intervals

Results

263.0ms	8000×	body	128	valid
68.0ms	2036×	body	128	invalid

Compiler

Compiled 159 to 128 computations (19.5% saved)

Iter	Nodes	Cost
0	9	13
1	15	13
2	35	13
3	65	13
4	118	13
5	196	13
6	304	13
7	523	13
8	734	13
9	869	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	35	13
3	65	13
4	118	13
5	196	13
6	304	13
7	523	13
8	734	13
9	869	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	13

Details

analyze904.0ms (18.7%)

sample26.0ms (0.5%)

simplify58.0ms (1.2%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite88.0ms (1.8%)

series122.0ms (2.5%)

simplify104.0ms (2.2%)

prune47.0ms (1%)

localize10.0ms (0.2%)

rewrite160.0ms (3.3%)

series205.0ms (4.2%)

simplify92.0ms (1.9%)

prune42.0ms (0.9%)

localize12.0ms (0.3%)

rewrite159.0ms (3.3%)

series215.0ms (4.4%)

simplify97.0ms (2%)

prune51.0ms (1.1%)

localize6.0ms (0.1%)

rewrite115.0ms (2.4%)

series358.0ms (7.4%)

simplify150.0ms (3.1%)

prune34.0ms (0.7%)

regimes899.0ms (18.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample867.0ms (17.9%)

Profiling

Iter	Nodes	Cost
0	9	13
1	15	13
2	35	13
3	65	13
4	118	13
5	196	13
6	304	13
7	523	13
8	734	13
9	869	13
10	802	13
11	828	13
12	818	13
13	819	13
14	819	13
15	734	13