Details

analyze583.0ms (14.5%)

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
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)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	62×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify145.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

prune2.0ms (0.1%)

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

2.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
7.9b	(*.f64 (/.f64 x y) (-.f64 z t))

rewrite27.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_14763`
16×	`*-un-lft-identity_binary64_14741`
14×	`add-cube-cbrt_binary64_14776`
13×	`associate-l_binary64_14682`
12×	`cancel-sign-sub-inv_binary64_14707`
10×	`times-frac_binary64_14747`
8×	`associate-+l+_binary64_14674` `distribute-lft-in_binary64_14690` `distribute-rgt-in_binary64_14691`
7×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
5×	`associate-r_binary64_14681`
4×	`add-log-exp_binary64_14780` `sub-neg_binary64_14734` `pow1_binary64_14802`
2×	`unswap-sqr_binary64_14709` `frac-times_binary64_14751` `cbrt-unprod_binary64_14774` `associate-*r/_binary64_14683` `prod-exp_binary64_14790` `flip--_binary64_14716` `flip3--_binary64_14745`
1×	`distribute-lft-out--_binary64_14693` `div-inv_binary64_14738` `cbrt-undiv_binary64_14775` `pow-prod-down_binary64_14812` `div-exp_binary64_14792` `+-commutative_binary64_14671` `associate-l/_binary64_14684` `-commutative_binary64_14672` `flip-+_binary64_14715` `sum-log_binary64_14832` `difference-of-squares_binary64_14710` `flip3-+_binary64_14744`

Counts

2 → 65

Calls

2 calls:

14.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
9.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

series105.0ms (2.6%)

Counts

2 → 6

Calls

2 calls:

62.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
42.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

simplify64.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5067	1022

prune63.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	65	6	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	7	72

Error

0.0b

Counts

72 → 7

Compiler

Compiled 1144 to 273 computations (76.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 x y))))
11.6b	(cbrt.f64 (/.f64 x y))
11.6b	(cbrt.f64 (/.f64 x y))
11.6b	(cbrt.f64 (/.f64 x y))

rewrite36.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`cbrt-prod_binary64_14772` `cbrt-div_binary64_14773`
29×	`frac-times_binary64_14751`
27×	`times-frac_binary64_14747`
25×	`add-sqr-sqrt_binary64_14763` `*-un-lft-identity_binary64_14741` `add-cube-cbrt_binary64_14776`
17×	`associate-*l/_binary64_14684`
16×	`add-exp-log_binary64_14779` `pow1_binary64_14802`
15×	`associate-*r/_binary64_14683`
10×	`add-cbrt-cube_binary64_14777`
8×	`cbrt-unprod_binary64_14774` `pow-prod-down_binary64_14812` `prod-exp_binary64_14790` `flip--_binary64_14716` `flip3--_binary64_14745`
4×	`add-log-exp_binary64_14780`
3×	`pow1/3_binary64_14823` `div-inv_binary64_14738`
1×	`associate-l_binary64_14682` `-commutative_binary64_14672` `associate-r*_binary64_14681`

Counts

4 → 111

Calls

4 calls:

18.0ms	(.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))

series236.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

68.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 x y))))
57.0ms	(cbrt.f64 (/.f64 x y))
56.0ms	(cbrt.f64 (/.f64 x y))
56.0ms	(cbrt.f64 (/.f64 x y))

simplify118.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4964	1985
1	4964	1985

prune103.0ms (2.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	122	8	130

Error

0.0b

Counts

130 → 8

Compiler

Compiled 2932 to 632 computations (78.4% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
1.0b	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
11.6b	(cbrt.f64 (/.f64 x y))
11.6b	(cbrt.f64 (/.f64 x y))

rewrite39.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`frac-times_binary64_14751` `cbrt-prod_binary64_14772`
26×	`cbrt-div_binary64_14773`
25×	`add-exp-log_binary64_14779`
19×	`add-sqr-sqrt_binary64_14763` `*-un-lft-identity_binary64_14741` `add-cube-cbrt_binary64_14776`
18×	`times-frac_binary64_14747`
17×	`associate-*l/_binary64_14684`
16×	`pow1_binary64_14802`
15×	`associate-*r/_binary64_14683` `add-cbrt-cube_binary64_14777`
13×	`cbrt-unprod_binary64_14774` `prod-exp_binary64_14790`
8×	`pow-prod-down_binary64_14812` `flip--_binary64_14716` `flip3--_binary64_14745`
4×	`add-log-exp_binary64_14780`
3×	`pow1/3_binary64_14823`
2×	`div-inv_binary64_14738` `cbrt-undiv_binary64_14775` `div-exp_binary64_14792`
1×	`associate-l_binary64_14682` `-commutative_binary64_14672` `associate-r*_binary64_14681`

Counts

4 → 104

Calls

4 calls:

22.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
2.0ms	(cbrt.f64 (/.f64 x y))
2.0ms	(cbrt.f64 (/.f64 x y))
1.0ms	(cbrt.f64 x)

series256.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

84.0ms	(cbrt.f64 x)
64.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
54.0ms	(cbrt.f64 (/.f64 x y))
53.0ms	(cbrt.f64 (/.f64 x y))

simplify85.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4977	1719
1	4977	1719

prune94.0ms (2.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	116	8	124

Error

0.0b

Counts

124 → 8

Compiler

Compiled 2664 to 581 computations (78.2% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
2.6b	(*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y))
3.8b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y)))

rewrite42.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`add-exp-log_binary64_14779`
35×	`add-cbrt-cube_binary64_14777`
33×	`prod-exp_binary64_14790`
32×	`add-sqr-sqrt_binary64_14763`
24×	`*-un-lft-identity_binary64_14741`
23×	`times-frac_binary64_14747` `associate-r_binary64_14681`
22×	`add-cube-cbrt_binary64_14776`
20×	`cbrt-unprod_binary64_14774`
18×	`div-exp_binary64_14792`
16×	`cbrt-prod_binary64_14772`
12×	`associate-l_binary64_14682`
11×	`frac-times_binary64_14751` `pow1_binary64_14802`
10×	`cbrt-undiv_binary64_14775`
8×	`associate-*r/_binary64_14683`
7×	`associate-*l/_binary64_14684`
6×	`1-exp_binary64_14785` `flip--_binary64_14716` `flip3--_binary64_14745`
4×	`pow-prod-down_binary64_14812` `add-log-exp_binary64_14780`
3×	`unswap-sqr_binary64_14709`
2×	`pow1/3_binary64_14823` `div-inv_binary64_14738` `*-commutative_binary64_14672`
1×	`distribute-lft-out--_binary64_14693` `difference-of-squares_binary64_14710`

Counts

4 → 123

Calls

4 calls:

15.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y)))
12.0ms	(*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series387.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

115.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y)))
110.0ms	(*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y))
81.0ms	(cbrt.f64 x)
80.0ms	(cbrt.f64 x)

simplify90.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5046	1717

prune100.0ms (2.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	135	8	143

Error

0.0b

Counts

143 → 8

Compiler

Compiled 2649 to 777 computations (70.7% saved)

regimes375.0ms (9.3%)

Accuracy

Total 1.2b remaining (99.5%)

Threshold costs 0b (0%)

Compiler

Compiled 2747 to 1876 computations (31.7% saved)

bsearch1.0ms (0%)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	57
1	38	57

end0.0ms (0%)

sample1.0s (24.9%)

Algorithm

1×

intervals

Results

268.0ms	8000×	body	128	valid
71.0ms	2153×	body	128	invalid

Compiler

Compiled 503 to 331 computations (34.2% saved)

Details

analyze583.0ms (14.5%)

sample21.0ms (0.5%)

simplify145.0ms (3.6%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite27.0ms (0.7%)

series105.0ms (2.6%)

simplify64.0ms (1.6%)

prune63.0ms (1.6%)

localize10.0ms (0.2%)

rewrite36.0ms (0.9%)

series236.0ms (5.9%)

simplify118.0ms (2.9%)

prune103.0ms (2.6%)

localize13.0ms (0.3%)

rewrite39.0ms (1%)

series256.0ms (6.4%)

simplify85.0ms (2.1%)

prune94.0ms (2.3%)

localize11.0ms (0.3%)

rewrite42.0ms (1%)

series387.0ms (9.6%)

simplify90.0ms (2.2%)

prune100.0ms (2.5%)

regimes375.0ms (9.3%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (24.9%)

Profiling