Details

analyze385.0ms (6.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
26.5%	73.3%	0.1%	8
33.5%	66.3%	0.1%	9
49.1%	50.7%	0.1%	10
56.9%	42.9%	0.1%	11
60.8%	39%	0.1%	12
69%	30.9%	0.1%	13
72.5%	27.3%	0.1%	14

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample31.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	83×	body	1024	valid
5.0ms	33×	body	2048	valid
4.0ms	48×	body	512	valid
3.0ms	75×	body	128	valid
1.0ms	17×	body	256	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify185.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	475	17
1	475	17

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

Merged error: 44.7b

Counts

2 → 1

Compiler

Compiled 24 to 18 computations (25% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
8.6b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-log-exp_binary64_1150`
10×	`*-un-lft-identity_binary64_1111`
5×	`add-sqr-sqrt_binary64_1133`
4×	`cancel-sign-sub-inv_binary64_1077` `sum-log_binary64_1202`
3×	`add-cube-cbrt_binary64_1146` `diff-log_binary64_1203`
2×	`add-cbrt-cube_binary64_1147` `distribute-lft-out_binary64_1062` `pow1_binary64_1172` `distribute-lft-out--_binary64_1063` `add-exp-log_binary64_1149`
1×	`flip-+_binary64_1085` `flip3--_binary64_1115` `flip3-+_binary64_1114` `+-commutative_binary64_1041` `difference-of-squares_binary64_1080` `sub-neg_binary64_1104` `flip--_binary64_1086` `associate--r+_binary64_1047`

Counts

2 → 32

Calls

2 calls:

10.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
5.0ms	(+.f64 (*.f64 x y) z)

series125.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

84.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
41.0ms	(+.f64 (*.f64 x y) z)

simplify62.0ms (1%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5122	667

prune75.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	31	7	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	8	39

Merged error: 44.0b

Counts

39 → 8

Compiler

Compiled 1547 to 750 computations (51.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.5b	(cbrt.f64 (+.f64 z (*.f64 x y)))
6.5b	(cbrt.f64 (+.f64 z (*.f64 x y)))
6.5b	(cbrt.f64 (+.f64 z (*.f64 x y)))
33.3b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_1111` `add-sqr-sqrt_binary64_1133`
9×	`cbrt-prod_binary64_1142` `add-log-exp_binary64_1150`
8×	`add-cube-cbrt_binary64_1146`
6×	`cbrt-div_binary64_1143`
4×	`add-cbrt-cube_binary64_1147` `pow1_binary64_1172` `add-exp-log_binary64_1149`
3×	`pow1/3_binary64_1193` `flip-+_binary64_1085` `cancel-sign-sub-inv_binary64_1077` `flip3-+_binary64_1114`
2×	`diff-log_binary64_1203`
1×	`flip3--_binary64_1115` `difference-of-squares_binary64_1080` `sum-log_binary64_1202` `sub-neg_binary64_1104` `distribute-lft-out--_binary64_1063` `flip--_binary64_1086` `associate--r+_binary64_1047`

Counts

4 → 57

Calls

4 calls:

8.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))

series674.0ms (11.2%)

Counts

4 → 12

Calls

4 calls:

199.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
199.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
196.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
80.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5077	1238

prune362.0ms (6%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	57	12	69
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	57	20	77

Merged error: 43.9b

Counts

77 → 20

Compiler

Compiled 8857 to 3865 computations (56.4% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

6.5b	(cbrt.f64 (+.f64 z (*.f64 x y)))
6.5b	(cbrt.f64 (+.f64 z (*.f64 x y)))
6.5b	(cbrt.f64 (+.f64 z (*.f64 x y)))
32.0b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y))))))))

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_1111` `add-sqr-sqrt_binary64_1133`
9×	`cbrt-prod_binary64_1142` `add-log-exp_binary64_1150`
8×	`add-cube-cbrt_binary64_1146`
6×	`cbrt-div_binary64_1143`
4×	`add-cbrt-cube_binary64_1147` `pow1_binary64_1172` `add-exp-log_binary64_1149`
3×	`pow1/3_binary64_1193` `flip-+_binary64_1085` `cancel-sign-sub-inv_binary64_1077` `flip3-+_binary64_1114`
2×	`diff-log_binary64_1203`
1×	`flip3--_binary64_1115` `difference-of-squares_binary64_1080` `sum-log_binary64_1202` `sub-neg_binary64_1104` `distribute-lft-out--_binary64_1063` `flip--_binary64_1086` `associate--r+_binary64_1047`

Counts

4 → 57

Calls

4 calls:

7.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y))))))))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))

series677.0ms (11.2%)

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
196.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
188.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
94.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y))))))))

simplify133.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4906	2338
1	4906	2338

prune384.0ms (6.4%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	62	7	69
Fresh	4	13	17
Picked	1	0	1
Done	0	2	2
Total	67	22	89

Merged error: 43.9b

Counts

89 → 22

Compiler

Compiled 11506 to 3730 computations (67.6% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

6.5b	(cbrt.f64 (+.f64 z (*.f64 x y)))
6.5b	(cbrt.f64 (+.f64 z (*.f64 x y)))
6.5b	(cbrt.f64 (+.f64 z (*.f64 x y)))
32.0b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y))))))))))

rewrite27.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_1111` `add-sqr-sqrt_binary64_1133`
9×	`cbrt-prod_binary64_1142` `add-log-exp_binary64_1150`
8×	`add-cube-cbrt_binary64_1146`
6×	`cbrt-div_binary64_1143`
4×	`add-cbrt-cube_binary64_1147` `pow1_binary64_1172` `add-exp-log_binary64_1149`
3×	`pow1/3_binary64_1193` `flip-+_binary64_1085` `cancel-sign-sub-inv_binary64_1077` `flip3-+_binary64_1114`
2×	`diff-log_binary64_1203`
1×	`flip3--_binary64_1115` `difference-of-squares_binary64_1080` `sum-log_binary64_1202` `sub-neg_binary64_1104` `distribute-lft-out--_binary64_1063` `flip--_binary64_1086` `associate--r+_binary64_1047`

Counts

4 → 57

Calls

4 calls:

7.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y))))))))))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))

series687.0ms (11.4%)

Counts

4 → 12

Calls

4 calls:

200.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
198.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
180.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
108.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y))))))))))

simplify79.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4939	1184
1	4939	1184

prune275.0ms (4.6%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	3	16	19
Picked	0	1	1
Done	0	2	2
Total	69	22	91

Merged error: 43.9b

Counts

91 → 22

Compiler

Compiled 8886 to 2618 computations (70.5% saved)

regimes228.0ms (3.8%)

Compiler: Compiled 4094 to 1544 computations (62.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	89	17
1	89	17

end0.0ms (0%)

sample1.4s (23.8%)

Algorithm

1×

intervals

Results

329.0ms	2693×	body	1024	valid
176.0ms	1162×	body	2048	valid
113.0ms	1230×	body	512	valid
84.0ms	2342×	body	128	valid
38.0ms	572×	body	256	valid
0.0ms	1×	body	4096	valid

Compiler

Compiled 1042 to 403 computations (61.3% saved)

Details

analyze385.0ms (6.4%)

sample31.0ms (0.5%)

simplify185.0ms (3.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite17.0ms (0.3%)

series125.0ms (2.1%)

simplify62.0ms (1%)

prune75.0ms (1.2%)

localize12.0ms (0.2%)

rewrite24.0ms (0.4%)

series674.0ms (11.2%)

simplify72.0ms (1.2%)

prune362.0ms (6%)

localize19.0ms (0.3%)

rewrite25.0ms (0.4%)

series677.0ms (11.2%)

simplify133.0ms (2.2%)

prune384.0ms (6.4%)

localize23.0ms (0.4%)

rewrite27.0ms (0.5%)

series687.0ms (11.4%)

simplify79.0ms (1.3%)

prune275.0ms (4.6%)

regimes228.0ms (3.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.4s (23.8%)

Profiling