Details

analyze377.0ms (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)

sample30.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	82×	body	1024	valid
5.0ms	30×	body	2048	valid
4.0ms	41×	body	512	valid
3.0ms	81×	body	128	valid
1.0ms	22×	body	256	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify187.0ms (3.2%)

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: 43.5b

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)
8.4b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-log-exp_binary64_806`
10×	`*-un-lft-identity_binary64_767`
5×	`add-sqr-sqrt_binary64_789`
4×	`cancel-sign-sub-inv_binary64_733` `sum-log_binary64_858`
3×	`diff-log_binary64_859` `add-cube-cbrt_binary64_802`
2×	`distribute-lft-out_binary64_718` `add-exp-log_binary64_805` `pow1_binary64_828` `distribute-lft-out--_binary64_719` `add-cbrt-cube_binary64_803`
1×	`sub-neg_binary64_760` `flip-+_binary64_741` `associate--r+_binary64_703` `+-commutative_binary64_697` `flip3-+_binary64_770` `flip--_binary64_742` `flip3--_binary64_771` `difference-of-squares_binary64_736`

Counts

2 → 32

Calls

2 calls:

11.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
5.0ms	(+.f64 (*.f64 x y) z)

series117.0ms (2%)

Counts

2 → 6

Calls

2 calls:

78.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
39.0ms	(+.f64 (*.f64 x y) z)

simplify63.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5122	667

prune76.0ms (1.3%)

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: 42.8b

Counts

39 → 8

Compiler

Compiled 1547 to 750 computations (51.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.4b	(cbrt.f64 (+.f64 z (*.f64 x y)))
6.4b	(cbrt.f64 (+.f64 z (*.f64 x y)))
6.4b	(cbrt.f64 (+.f64 z (*.f64 x y)))
29.4b	(-.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))))))

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_789` `*-un-lft-identity_binary64_767`
9×	`add-log-exp_binary64_806` `cbrt-prod_binary64_798`
8×	`add-cube-cbrt_binary64_802`
6×	`cbrt-div_binary64_799`
4×	`add-exp-log_binary64_805` `pow1_binary64_828` `add-cbrt-cube_binary64_803`
3×	`pow1/3_binary64_849` `flip-+_binary64_741` `cancel-sign-sub-inv_binary64_733` `flip3-+_binary64_770`
2×	`diff-log_binary64_859`
1×	`sub-neg_binary64_760` `distribute-lft-out--_binary64_719` `associate--r+_binary64_703` `sum-log_binary64_858` `flip--_binary64_742` `flip3--_binary64_771` `difference-of-squares_binary64_736`

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)))) (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)))

series669.0ms (11.4%)

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
192.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
192.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
88.0ms	(-.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))))))

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5077	1238

prune374.0ms (6.4%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	59	10	69
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	59	18	77

Merged error: 42.7b

Counts

77 → 18

Compiler

Compiled 9079 to 3998 computations (56% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

6.4b	(cbrt.f64 (+.f64 z (*.f64 x y)))
6.4b	(cbrt.f64 (+.f64 z (*.f64 x y)))
6.4b	(cbrt.f64 (+.f64 z (*.f64 x y)))
34.4b	(-.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))))))

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_789` `*-un-lft-identity_binary64_767`
9×	`add-log-exp_binary64_806` `cbrt-prod_binary64_798`
8×	`add-cube-cbrt_binary64_802`
6×	`cbrt-div_binary64_799`
4×	`add-exp-log_binary64_805` `pow1_binary64_828` `add-cbrt-cube_binary64_803`
3×	`pow1/3_binary64_849` `flip-+_binary64_741` `cancel-sign-sub-inv_binary64_733` `flip3-+_binary64_770`
2×	`diff-log_binary64_859`
1×	`sub-neg_binary64_760` `distribute-lft-out--_binary64_719` `associate--r+_binary64_703` `sum-log_binary64_858` `flip--_binary64_742` `flip3--_binary64_771` `difference-of-squares_binary64_736`

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 (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)))

series642.0ms (11%)

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
185.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
167.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
104.0ms	(-.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))))))

simplify82.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4962	1184
1	4962	1184

prune406.0ms (6.9%)

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	62	7	69
Fresh	2	13	15
Picked	0	1	1
Done	0	2	2
Total	64	23	87

Merged error: 42.7b

Counts

87 → 23

Compiler

Compiled 11323 to 4367 computations (61.4% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

6.4b	(cbrt.f64 (+.f64 z (*.f64 x y)))
6.4b	(cbrt.f64 (+.f64 z (*.f64 x y)))
6.4b	(cbrt.f64 (+.f64 z (*.f64 x y)))
33.9b	(-.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 (.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))))))))

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_789` `*-un-lft-identity_binary64_767`
9×	`add-log-exp_binary64_806` `cbrt-prod_binary64_798`
8×	`add-cube-cbrt_binary64_802`
6×	`cbrt-div_binary64_799`
4×	`add-exp-log_binary64_805` `pow1_binary64_828` `add-cbrt-cube_binary64_803`
3×	`pow1/3_binary64_849` `flip-+_binary64_741` `cancel-sign-sub-inv_binary64_733` `flip3-+_binary64_770`
2×	`diff-log_binary64_859`
1×	`sub-neg_binary64_760` `distribute-lft-out--_binary64_719` `associate--r+_binary64_703` `sum-log_binary64_858` `flip--_binary64_742` `flip3--_binary64_771` `difference-of-squares_binary64_736`

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 (.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)))

series679.0ms (11.6%)

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
192.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
192.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
102.0ms	(-.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 (.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))))))))

simplify85.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4964	1184
1	4964	1184

prune153.0ms (2.6%)

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	18	19
Picked	0	1	1
Done	0	3	3
Total	69	23	92

Merged error: 42.7b

Counts

92 → 23

Compiler

Compiled 4695 to 1389 computations (70.4% saved)

regimes220.0ms (3.8%)

Compiler: Compiled 3494 to 1572 computations (55% 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%)

sample1.5s (25%)

Algorithm

1×

intervals

Results

348.0ms	2756×	body	1024	valid
185.0ms	1156×	body	2048	valid
117.0ms	1245×	body	512	valid
79.0ms	2262×	body	128	valid
37.0ms	579×	body	256	valid
0.0ms	2×	body	4096	valid

Compiler

Compiled 892 to 410 computations (54% saved)

Details

analyze377.0ms (6.4%)

sample30.0ms (0.5%)

simplify187.0ms (3.2%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite18.0ms (0.3%)

series117.0ms (2%)

simplify63.0ms (1.1%)

prune76.0ms (1.3%)

localize15.0ms (0.2%)

rewrite23.0ms (0.4%)

series669.0ms (11.4%)

simplify73.0ms (1.2%)

prune374.0ms (6.4%)

localize18.0ms (0.3%)

rewrite26.0ms (0.4%)

series642.0ms (11%)

simplify82.0ms (1.4%)

prune406.0ms (6.9%)

localize18.0ms (0.3%)

rewrite25.0ms (0.4%)

series679.0ms (11.6%)

simplify85.0ms (1.5%)

prune153.0ms (2.6%)

regimes220.0ms (3.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.5s (25%)

Profiling