Details

analyze566.0ms (9%)

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)

sample62.0ms (1%)

Algorithm

1×

intervals

Results

18.0ms	78×	body	1024	valid
13.0ms	43×	body	2048	valid
10.0ms	54×	body	512	valid
4.0ms	68×	body	128	valid
2.0ms	13×	body	256	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify143.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	504	17
1	504	17

prune4.0ms (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

46.7b

Counts

2 → 1

Compiler

Compiled 24 to 18 computations (25% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
0.0b	(+.f64 1 (+.f64 (*.f64 x y) z))
11.3b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

rewrite38.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64_458`
13×	`*-un-lft-identity_binary64_419`
7×	`sum-log_binary64_510`
6×	`add-sqr-sqrt_binary64_441`
4×	`add-cube-cbrt_binary64_454` `cancel-sign-sub-inv_binary64_385`
3×	`distribute-lft-out_binary64_370` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `diff-log_binary64_511` `pow1_binary64_480`
2×	`flip3-+_binary64_422` `distribute-lft-out--_binary64_371` `flip-+_binary64_393` `+-commutative_binary64_349`
1×	`associate-+r+_binary64_351` `sub-neg_binary64_412` `difference-of-squares_binary64_388` `flip3--_binary64_423` `associate--r+_binary64_355` `flip--_binary64_394`

Counts

3 → 46

Calls

3 calls:

15.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
10.0ms	(+.f64 1 (+.f64 (*.f64 x y) z))
7.0ms	(+.f64 (*.f64 x y) z)

series132.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

76.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
36.0ms	(+.f64 1 (+.f64 (*.f64 x y) z))
20.0ms	(+.f64 (*.f64 x y) z)

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4986	901
1	4986	901

prune56.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	47	8	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	8	56

Error

46.2b

Counts

56 → 8

Compiler

Compiled 1120 to 421 computations (62.4% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (+.f64 z (*.f64 x y)))
0.0b	(+.f64 z (*.f64 x y))
11.3b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64_458`
13×	`*-un-lft-identity_binary64_419`
7×	`sum-log_binary64_510`
6×	`add-sqr-sqrt_binary64_441`
4×	`add-cube-cbrt_binary64_454` `cancel-sign-sub-inv_binary64_385`
3×	`distribute-lft-out_binary64_370` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `diff-log_binary64_511` `pow1_binary64_480`
2×	`flip3-+_binary64_422` `distribute-lft-out--_binary64_371` `flip-+_binary64_393` `+-commutative_binary64_349`
1×	`associate-+r+_binary64_351` `sub-neg_binary64_412` `difference-of-squares_binary64_388` `flip3--_binary64_423` `associate--r+_binary64_355` `flip--_binary64_394`

Counts

3 → 46

Calls

3 calls:

13.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
5.0ms	(+.f64 1 (+.f64 z (*.f64 x y)))
3.0ms	(+.f64 z (*.f64 x y))

series93.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

42.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 z (*.f64 x y))))
27.0ms	(+.f64 z (*.f64 x y))
24.0ms	(+.f64 1 (+.f64 z (*.f64 x y)))

simplify70.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4918	886
1	4918	886

prune106.0ms (1.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	53	10	63

Error

46.1b

Counts

63 → 10

Compiler

Compiled 1312 to 611 computations (53.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

9.6b	(cbrt.f64 (+.f64 z (*.f64 x y)))
9.6b	(cbrt.f64 (+.f64 z (*.f64 x y)))
9.6b	(cbrt.f64 (+.f64 z (*.f64 x y)))
34.5b	(-.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))))))

rewrite27.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_419` `add-sqr-sqrt_binary64_441`
9×	`add-log-exp_binary64_458` `cbrt-prod_binary64_450`
8×	`add-cube-cbrt_binary64_454`
6×	`cbrt-div_binary64_451`
4×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
3×	`flip3-+_binary64_422` `pow1/3_binary64_501` `flip-+_binary64_393` `cancel-sign-sub-inv_binary64_385`
2×	`diff-log_binary64_511`
1×	`sub-neg_binary64_412` `difference-of-squares_binary64_388` `sum-log_binary64_510` `flip3--_binary64_423` `distribute-lft-out--_binary64_371` `associate--r+_binary64_355` `flip--_binary64_394`

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))))))
5.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
5.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
4.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))

series479.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
148.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
133.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
46.0ms	(-.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))))))

simplify164.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (139.0ms)

Iter	Nodes	Cost
0	4869	1238
1	4869	1238

prune130.0ms (2.1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	60	9	69
Fresh	1	7	8
Picked	0	1	1
Done	1	0	1
Total	62	17	79

Error

45.9b

Counts

79 → 17

Compiler

Compiled 2546 to 743 computations (70.8% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

9.6b	(cbrt.f64 (+.f64 z (*.f64 x y)))
9.6b	(cbrt.f64 (+.f64 z (*.f64 x y)))
9.6b	(cbrt.f64 (+.f64 z (*.f64 x y)))
36.3b	(-.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))))))

rewrite37.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_419` `add-sqr-sqrt_binary64_441`
9×	`add-log-exp_binary64_458` `cbrt-prod_binary64_450`
8×	`add-cube-cbrt_binary64_454`
6×	`cbrt-div_binary64_451`
4×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
3×	`flip3-+_binary64_422` `pow1/3_binary64_501` `flip-+_binary64_393` `cancel-sign-sub-inv_binary64_385`
2×	`diff-log_binary64_511`
1×	`sub-neg_binary64_412` `difference-of-squares_binary64_388` `sum-log_binary64_510` `flip3--_binary64_423` `distribute-lft-out--_binary64_371` `associate--r+_binary64_355` `flip--_binary64_394`

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))) (.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))))))
5.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
5.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
4.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))

series506.0ms (8.1%)

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
136.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
134.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
67.0ms	(-.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))))))

simplify99.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4944	1184
1	4944	1184

prune129.0ms (2.1%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	60	9	69
Fresh	1	14	15
Picked	1	0	1
Done	0	1	1
Total	62	24	86

Error

45.9b

Counts

86 → 24

Compiler

Compiled 2877 to 576 computations (80% saved)

regimes531.0ms (8.5%)

Accuracy

Total 0.7b remaining (1.6%)

Threshold costs 0.7b (1.6%)

Compiler

Compiled 6138 to 2840 computations (53.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	98	22
1	98	22

end0.0ms (0%)

sample2.8s (43.9%)

Algorithm

1×

intervals

Results

465.0ms	2725×	body	1024	valid
268.0ms	1212×	body	2048	valid
161.0ms	1252×	body	512	valid
103.0ms	2245×	body	128	valid
54.0ms	566×	body	256	valid

Compiler

Compiled 1556 to 730 computations (53.1% saved)

Details

analyze566.0ms (9%)

sample62.0ms (1%)

simplify143.0ms (2.3%)

prune4.0ms (0.1%)

localize15.0ms (0.2%)

rewrite38.0ms (0.6%)

series132.0ms (2.1%)

simplify65.0ms (1%)

prune56.0ms (0.9%)

localize11.0ms (0.2%)

rewrite25.0ms (0.4%)

series93.0ms (1.5%)

simplify70.0ms (1.1%)

prune106.0ms (1.7%)

localize12.0ms (0.2%)

rewrite27.0ms (0.4%)

series479.0ms (7.6%)

simplify164.0ms (2.6%)

prune130.0ms (2.1%)

localize18.0ms (0.3%)

rewrite37.0ms (0.6%)

series506.0ms (8.1%)

simplify99.0ms (1.6%)

prune129.0ms (2.1%)

regimes531.0ms (8.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.8s (43.9%)

Profiling