Details

analyze785.0ms (9.6%)

Algorithm

1×

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
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	64×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify176.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

1.4b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
6.0b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite69.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_14763`
13×	`associate-r_binary64_14681`
12×	`*-un-lft-identity_binary64_14741`
10×	`add-cube-cbrt_binary64_14776` `times-frac_binary64_14747`
7×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
5×	`associate-l_binary64_14682`
4×	`pow1_binary64_14802` `add-log-exp_binary64_14780`
2×	`prod-exp_binary64_14790` `cbrt-unprod_binary64_14774` `flip3--_binary64_14745` `frac-times_binary64_14751` `flip--_binary64_14716` `unswap-sqr_binary64_14709` `associate-*l/_binary64_14684`
1×	`pow-prod-down_binary64_14812` `div-exp_binary64_14792` `cbrt-undiv_binary64_14775` `associate-r/_binary64_14683` `difference-of-squares_binary64_14710` `distribute-lft-out--_binary64_14693` `div-inv_binary64_14738` `-commutative_binary64_14672` `sum-log_binary64_14832` `flip3-+_binary64_14744` `flip-+_binary64_14715` `+-commutative_binary64_14671`

Counts

2 → 49

Calls

2 calls:

10.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

Compiler

Compiled 861 to 228 computations (73.5% saved)

series608.0ms (7.4%)

Error

0.0b

Counts

2 → 42

Calls

2 calls:

341.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
229.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

Compiler

Compiled 1118 to 645 computations (42.3% saved)

simplify88.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5762	1171

prune88.0ms (1.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	84	7	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	8	92

Error

0.0b

Counts

92 → 8

Compiler

Compiled 1218 to 278 computations (77.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 t)
0.5b	(cbrt.f64 t)
0.5b	(cbrt.f64 t)
6.5b	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))

rewrite134.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

40×	`add-sqr-sqrt_binary64_14763`
30×	`times-frac_binary64_14747`
25×	`add-exp-log_binary64_14779`
24×	`*-un-lft-identity_binary64_14741`
22×	`add-cube-cbrt_binary64_14776` `associate-r_binary64_14681`
20×	`cbrt-prod_binary64_14772`
18×	`add-cbrt-cube_binary64_14777`
9×	`associate-l_binary64_14682`
8×	`prod-exp_binary64_14790` `cbrt-unprod_binary64_14774`
7×	`div-exp_binary64_14792` `cbrt-undiv_binary64_14775`
6×	`pow1_binary64_14802` `unswap-sqr_binary64_14709`
4×	`add-log-exp_binary64_14780`
3×	`pow1/3_binary64_14823`
2×	`div-inv_binary64_14738`
1×	`pow-prod-down_binary64_14812` `frac-times_binary64_14751` `associate-l/_binary64_14684` `associate-r/_binary64_14683` `difference-of-squares_binary64_14710` `distribute-lft-out--_binary64_14693` `*-commutative_binary64_14672`

Counts

4 → 94

Calls

4 calls:

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

Compiler

Compiled 2267 to 452 computations (80.1% saved)

series519.0ms (6.4%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

261.0ms	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))
91.0ms	(cbrt.f64 t)
81.0ms	(cbrt.f64 t)
71.0ms	(cbrt.f64 t)

Compiler

Compiled 1029 to 652 computations (36.6% saved)

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4977	1585
1	4977	1585

prune130.0ms (1.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	121	8	129

Error

0.0b

Counts

129 → 8

Compiler

Compiled 2234 to 611 computations (72.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 y x))
0.6b	(cbrt.f64 (-.f64 y x))
1.2b	(*.f64 (/.f64 z (cbrt.f64 t)) (/.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 t)))
1.6b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (cbrt.f64 t)) (*.f64 (/.f64 z (cbrt.f64 t)) (/.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 t))))

rewrite312.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

119×	`add-sqr-sqrt_binary64_14763`
94×	`times-frac_binary64_14747`
93×	`cbrt-prod_binary64_14772`
85×	`add-exp-log_binary64_14779`
67×	`*-un-lft-identity_binary64_14741`
53×	`associate-r_binary64_14681`
51×	`add-cube-cbrt_binary64_14776`
41×	`add-cbrt-cube_binary64_14777`
36×	`prod-exp_binary64_14790` `cbrt-unprod_binary64_14774`
32×	`associate-l_binary64_14682`
26×	`div-exp_binary64_14792` `cbrt-undiv_binary64_14775`
15×	`unswap-sqr_binary64_14709`
11×	`pow1_binary64_14802`
8×	`difference-of-squares_binary64_14710` `distribute-lft-out--_binary64_14693`
6×	`frac-times_binary64_14751` `associate-*r/_binary64_14683`
4×	`pow-prod-down_binary64_14812` `add-log-exp_binary64_14780` `associate-*l/_binary64_14684` `cbrt-div_binary64_14773`
3×	`div-inv_binary64_14738`
2×	`*-commutative_binary64_14672` `pow1/3_binary64_14823` `flip3--_binary64_14745` `flip--_binary64_14716`

Counts

4 → 197

Calls

4 calls:

41.0ms	(*.f64 (/.f64 z (cbrt.f64 t)) (/.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 t)))
29.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (cbrt.f64 t)) (*.f64 (/.f64 z (cbrt.f64 t)) (/.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 t))))
3.0ms	(cbrt.f64 (-.f64 y x))
3.0ms	(cbrt.f64 (-.f64 y x))

Compiler

Compiled 7573 to 1026 computations (86.5% saved)

series1.1s (13.7%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

572.0ms	(*.f64 (/.f64 z (cbrt.f64 t)) (/.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 t)))
313.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (cbrt.f64 t)) (*.f64 (/.f64 z (cbrt.f64 t)) (/.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 t))))
91.0ms	(cbrt.f64 (-.f64 y x))
89.0ms	(cbrt.f64 (-.f64 y x))

Compiler

Compiled 3575 to 2230 computations (37.6% saved)

simplify160.0ms (2%)

Algorithm

1×	egg-herbie

Counts

245 → 245

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4968	5129
1	4968	5129

prune266.0ms (3.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	245	0	245
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	245	8	253

Error

0.0b

Counts

253 → 8

Compiler

Compiled 7392 to 1122 computations (84.8% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 z (/.f64 (-.f64 y x) t)))
0.0b	(/.f64 (-.f64 y x) t)
6.7b	(*.f64 z (/.f64 (-.f64 y x) t))

rewrite112.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`add-sqr-sqrt_binary64_14763`
37×	`*-un-lft-identity_binary64_14741`
31×	`times-frac_binary64_14747`
23×	`add-cube-cbrt_binary64_14776`
19×	`associate-r_binary64_14681`
10×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
7×	`difference-of-squares_binary64_14710` `distribute-lft-out--_binary64_14693`
5×	`pow1_binary64_14802` `add-log-exp_binary64_14780` `associate-/l*_binary64_14686`
3×	`associate-l_binary64_14682` `associate-/r*_binary64_14685`
2×	`div-exp_binary64_14792` `prod-exp_binary64_14790` `cbrt-unprod_binary64_14774` `cbrt-undiv_binary64_14775` `unswap-sqr_binary64_14709` `div-inv_binary64_14738` `associate-/l/_binary64_14688`
1×	`pow-prod-down_binary64_14812` `associate-r/_binary64_14683` `-commutative_binary64_14672` `frac-2neg_binary64_14752` `div-sub_binary64_14746` `clear-num_binary64_14740` `flip3--_binary64_14745` `flip--_binary64_14716` `sum-log_binary64_14832` `flip3-+_binary64_14744` `flip-+_binary64_14715` `+-commutative_binary64_14671`

Counts

3 → 87

Calls

3 calls:

14.0ms	(*.f64 z (/.f64 (-.f64 y x) t))
6.0ms	(/.f64 (-.f64 y x) t)
3.0ms	(+.f64 x (*.f64 z (/.f64 (-.f64 y x) t)))

Compiler

Compiled 1505 to 390 computations (74.1% saved)

series776.0ms (9.5%)

Error

0.0b

Counts

3 → 57

Calls

3 calls:

387.0ms	(+.f64 x (*.f64 z (/.f64 (-.f64 y x) t)))
229.0ms	(*.f64 z (/.f64 (-.f64 y x) t))
129.0ms	(/.f64 (-.f64 y x) t)

Compiler

Compiled 1499 to 877 computations (41.5% saved)

simplify101.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4994	1752
1	4994	1752

prune111.0ms (1.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	144	8	152

Error

0.0b

Counts

152 → 8

Compiler

Compiled 1820 to 334 computations (81.6% saved)

regimes686.0ms (8.4%)

Accuracy

Total 1.4b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 5868 to 3992 computations (32% saved)

bsearch2.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	32
1	28	32

end0.0ms (0%)

sample1.8s (21.9%)

Algorithm

1×

intervals

Results

301.0ms	8000×	body	128	valid
88.0ms	2112×	body	128	invalid

Compiler

Compiled 995 to 665 computations (33.2% saved)

Details

analyze785.0ms (9.6%)

sample26.0ms (0.3%)

simplify176.0ms (2.2%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite69.0ms (0.9%)

series608.0ms (7.4%)

simplify88.0ms (1.1%)

prune88.0ms (1.1%)

localize13.0ms (0.2%)

rewrite134.0ms (1.6%)

series519.0ms (6.4%)

simplify62.0ms (0.8%)

prune130.0ms (1.6%)

localize15.0ms (0.2%)

rewrite312.0ms (3.8%)

series1.1s (13.7%)

simplify160.0ms (2%)

prune266.0ms (3.3%)

localize7.0ms (0.1%)

rewrite112.0ms (1.4%)

series776.0ms (9.5%)

simplify101.0ms (1.2%)

prune111.0ms (1.4%)

regimes686.0ms (8.4%)

bsearch2.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (21.9%)

Profiling