Details

analyze475.0ms (4.7%)

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)

sample60.0ms (0.6%)

Algorithm

1×

intervals

Results

21.0ms	92×	body	1024	valid
12.0ms	44×	body	2048	valid
5.0ms	38×	body	512	valid
3.0ms	57×	body	128	valid
2.0ms	25×	body	256	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify134.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	504	17
1	504	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

Error

48.9b

Counts

2 → 1

Compiler

Compiled 24 to 18 computations (25% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
11.8b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

rewrite51.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

48.4b

Rules

13×	`add-log-exp_binary64_799`
10×	`*-un-lft-identity_binary64_760`
5×	`add-sqr-sqrt_binary64_782`
4×	`sum-log_binary64_851` `cancel-sign-sub-inv_binary64_726`
3×	`diff-log_binary64_852` `add-cube-cbrt_binary64_795`
2×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `distribute-lft-out_binary64_711` `distribute-lft-out--_binary64_712`
1×	`flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `difference-of-squares_binary64_729` `associate--r+_binary64_696` `flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690`

Counts

2 → 32

Calls

2 calls:

12.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
4.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 684 to 235 computations (65.6% saved)

series287.0ms (2.8%)

Error

47.6b

Counts

2 → 36

Calls

2 calls:

171.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
92.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 916 to 565 computations (38.3% saved)

simplify92.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5205	901

prune64.0ms (0.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	58	10	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	10	69

Error

47.5b

Counts

69 → 10

Compiler

Compiled 1093 to 427 computations (60.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

9.9b	(cbrt.f64 (+.f64 z (*.f64 x y)))
9.9b	(cbrt.f64 (+.f64 z (*.f64 x y)))
9.9b	(cbrt.f64 (+.f64 z (*.f64 x y)))
34.0b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

rewrite105.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

47.5b

Rules

10×	`add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
9×	`add-log-exp_binary64_799` `cbrt-prod_binary64_791`
8×	`add-cube-cbrt_binary64_795`
6×	`cbrt-div_binary64_792`
4×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
3×	`cancel-sign-sub-inv_binary64_726` `pow1/3_binary64_842` `flip3-+_binary64_763` `flip-+_binary64_734`
2×	`diff-log_binary64_852`
1×	`sum-log_binary64_851` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712` `associate--r+_binary64_696`

Counts

4 → 57

Calls

4 calls:

6.0ms	(-.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)))

Compiler

Compiled 2300 to 411 computations (82.1% saved)

series887.0ms (8.7%)

Error

47.5b

Counts

4 → 69

Calls

4 calls:

226.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
221.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
207.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
151.0ms	(-.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))))))

Compiler

Compiled 5870 to 3410 computations (41.9% saved)

simplify85.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5019	2309

prune178.0ms (1.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	115	11	126
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	119	17	136

Error

47.5b

Counts

136 → 17

Compiler

Compiled 4114 to 1267 computations (69.2% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

9.9b	(cbrt.f64 (+.f64 z (*.f64 x y)))
9.9b	(cbrt.f64 (+.f64 z (*.f64 x y)))
9.9b	(cbrt.f64 (+.f64 z (*.f64 x y)))
39.5b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.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)))))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

rewrite133.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

47.5b

Rules

10×	`add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
9×	`add-log-exp_binary64_799` `cbrt-prod_binary64_791`
8×	`add-cube-cbrt_binary64_795`
6×	`cbrt-div_binary64_792`
4×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
3×	`cancel-sign-sub-inv_binary64_726` `pow1/3_binary64_842` `flip3-+_binary64_763` `flip-+_binary64_734`
2×	`diff-log_binary64_852`
1×	`sum-log_binary64_851` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712` `associate--r+_binary64_696`

Counts

4 → 57

Calls

4 calls:

6.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.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)))))) (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)))

Compiler

Compiled 3507 to 470 computations (86.6% saved)

series958.0ms (9.4%)

Error

47.5b

Counts

4 → 69

Calls

4 calls:

229.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
217.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
212.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
190.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.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)))))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

Compiler

Compiled 8063 to 3784 computations (53.1% saved)

simplify138.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4958	2291
1	4958	2291

prune227.0ms (2.2%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	116	10	126
Fresh	2	14	16
Picked	1	0	1
Done	0	0	0
Total	119	24	143

Error

47.5b

Counts

143 → 24

Compiler

Compiled 6074 to 1535 computations (74.7% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

9.9b	(cbrt.f64 (+.f64 z (*.f64 x y)))
9.9b	(cbrt.f64 (+.f64 z (*.f64 x y)))
9.9b	(cbrt.f64 (+.f64 z (*.f64 x y)))
39.5b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (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)))))))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

rewrite153.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

47.5b

Rules

10×	`add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
9×	`add-log-exp_binary64_799` `cbrt-prod_binary64_791`
8×	`add-cube-cbrt_binary64_795`
6×	`cbrt-div_binary64_792`
4×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
3×	`cancel-sign-sub-inv_binary64_726` `pow1/3_binary64_842` `flip3-+_binary64_763` `flip-+_binary64_734`
2×	`diff-log_binary64_852`
1×	`sum-log_binary64_851` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712` `associate--r+_binary64_696`

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))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (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)))))))) (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)))

Compiler

Compiled 4714 to 522 computations (88.9% saved)

series1.0s (10.1%)

Error

47.5b

Counts

4 → 69

Calls

4 calls:

254.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
240.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
225.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
186.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (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)))))))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

Compiler

Compiled 10256 to 4036 computations (60.6% saved)

simplify126.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4958	2291
1	4958	2291

prune225.0ms (2.2%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	121	5	126
Fresh	4	19	23
Picked	0	1	1
Done	0	0	0
Total	125	25	150

Error

47.5b

Counts

150 → 25

Compiler

Compiled 6767 to 1262 computations (81.4% saved)

regimes1.1s (10.6%)

Accuracy

Total 1.4b remaining (3%)

Threshold costs 0b (0%)

Compiler

Compiled 19978 to 6608 computations (66.9% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	95	17
1	95	17

end0.0ms (0%)

sample3.6s (35.5%)

Algorithm

1×

intervals

Results

392.0ms	2732×	body	1024	valid
206.0ms	1148×	body	2048	valid
130.0ms	1222×	body	512	valid
89.0ms	2296×	body	128	valid
43.0ms	598×	body	256	valid
1.0ms	4×	body	4096	valid

Compiler

Compiled 5013 to 1669 computations (66.7% saved)

Details

analyze475.0ms (4.7%)

sample60.0ms (0.6%)

simplify134.0ms (1.3%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite51.0ms (0.5%)

series287.0ms (2.8%)

simplify92.0ms (0.9%)

prune64.0ms (0.6%)

localize14.0ms (0.1%)

rewrite105.0ms (1%)

series887.0ms (8.7%)

simplify85.0ms (0.8%)

prune178.0ms (1.7%)

localize31.0ms (0.3%)

rewrite133.0ms (1.3%)

series958.0ms (9.4%)

simplify138.0ms (1.4%)

prune227.0ms (2.2%)

localize30.0ms (0.3%)

rewrite153.0ms (1.5%)

series1.0s (10.1%)

simplify126.0ms (1.2%)

prune225.0ms (2.2%)

regimes1.1s (10.6%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample3.6s (35.5%)

Profiling