Details

analyze343.0ms (12%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	40
1	37	40
0	3	3
1	3	3

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
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
32.8%	67.1%	0.1%	9
43.7%	43.7%	12.6%	10
46.8%	40.6%	12.6%	11
52.7%	34.7%	12.6%	12
58.5%	22.6%	18.9%	13
60.5%	20.7%	18.9%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	29×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	10
1	13	10

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

0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 y z) z))
0.2b	(.f64 (.f64 y z) z)

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `pow1_binary64_139`
4×	`add-log-exp_binary64_117`
3×	`add-sqr-sqrt_binary64_100` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `add-cube-cbrt_binary64_113` `associate-r_binary64_18` `pow-prod-down_binary64_149` `*-un-lft-identity_binary64_78`
1×	`+-commutative_binary64_8` `-commutative_binary64_9` `associate-l*_binary64_19` `flip-+_binary64_52` `sum-log_binary64_169` `flip3-+_binary64_81`

Counts

2 → 29

Calls

2 calls:

6.0ms	(.f64 (.f64 y z) z)
3.0ms	(+.f64 x (.f64 (.f64 y z) z))

series92.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

53.0ms	(+.f64 x (.f64 (.f64 y z) z))
39.0ms	(.f64 (.f64 y z) z)

simplify98.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4953	376
1	4953	376

prune26.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Error

0.0b

Counts

36 → 4

Compiler

Compiled 417 to 118 computations (71.7% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 z (.f64 y z))) (cbrt.f64 (.f64 z (*.f64 y z))))
19.5b	(cbrt.f64 (.f64 z (.f64 y z)))
19.5b	(cbrt.f64 (.f64 z (.f64 y z)))
19.5b	(cbrt.f64 (.f64 z (.f64 y z)))

rewrite25.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_139`
10×	`add-sqr-sqrt_binary64_100`
9×	`pow1/3_binary64_160`
8×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
7×	`cbrt-prod_binary64_109`
6×	`add-exp-log_binary64_116`
4×	`add-cbrt-cube_binary64_114` `associate-l_binary64_19` `add-log-exp_binary64_117` `swap-sqr_binary64_45` `associate-r_binary64_18`
2×	`pow-sqr_binary64_51` `pow-prod-up_binary64_148` `pow-prod-down_binary64_149`
1×	`pow2_binary64_159` `*-commutative_binary64_9` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `unswap-sqr_binary64_46` `pow-plus_binary64_141`

Counts

4 → 58

Calls

4 calls:

6.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
6.0ms	(.f64 (cbrt.f64 (.f64 z (.f64 y z))) (cbrt.f64 (.f64 z (*.f64 y z))))
4.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
4.0ms	(cbrt.f64 (.f64 z (.f64 y z)))

series323.0ms (11.3%)

Counts

4 → 12

Calls

4 calls:

98.0ms	(.f64 (cbrt.f64 (.f64 z (.f64 y z))) (cbrt.f64 (.f64 z (*.f64 y z))))
77.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
76.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
72.0ms	(cbrt.f64 (.f64 z (.f64 y z)))

simplify130.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	5133	709

prune58.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	69	5	74

Error

0.0b

Counts

74 → 5

Compiler

Compiled 1649 to 375 computations (77.3% saved)

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
9.3b	(cbrt.f64 (*.f64 z y))
19.5b	(cbrt.f64 (.f64 z (.f64 y z)))
19.5b	(cbrt.f64 (.f64 z (.f64 y z)))

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`cbrt-prod_binary64_109`
5×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `pow1/3_binary64_160` `add-exp-log_binary64_116` `pow1_binary64_139`

Counts

4 → 38

Calls

4 calls:

4.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
4.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
2.0ms	(cbrt.f64 (*.f64 z y))
1.0ms	(cbrt.f64 z)

series281.0ms (9.8%)

Counts

4 → 12

Calls

4 calls:

81.0ms	(cbrt.f64 z)
73.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
70.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
57.0ms	(cbrt.f64 (*.f64 z y))

simplify55.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4952	442
1	4952	442

prune47.0ms (1.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	48	7	55

Error

0.0b

Counts

55 → 7

Compiler

Compiled 1401 to 283 computations (79.8% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
19.5b	(cbrt.f64 (.f64 z (.f64 y z)))
19.5b	(cbrt.f64 (.f64 z (.f64 y z)))

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`cbrt-prod_binary64_109`
6×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `pow1/3_binary64_160` `add-exp-log_binary64_116` `pow1_binary64_139`

Counts

4 → 40

Calls

4 calls:

4.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
4.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series303.0ms (10.6%)

Counts

4 → 12

Calls

4 calls:

80.0ms	(cbrt.f64 z)
79.0ms	(cbrt.f64 z)
72.0ms	(cbrt.f64 (.f64 z (.f64 y z)))
72.0ms	(cbrt.f64 (.f64 z (.f64 y z)))

simplify70.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5356	422

prune46.0ms (1.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	51	8	59

Error

0.0b

Counts

59 → 8

Compiler

Compiled 1412 to 240 computations (83% saved)

regimes166.0ms (5.8%)

Accuracy

Total 0.1b remaining (85.2%)

Threshold costs 0.1b (85.2%)

Compiler

Compiled 1870 to 1090 computations (41.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample697.0ms (24.3%)

Algorithm

1×

intervals

Results

198.0ms	8000×	body	128	valid
15.0ms	631×	body	128	invalid

Compiler

Compiled 383 to 226 computations (41% saved)

Details

analyze343.0ms (12%)

sample14.0ms (0.5%)

simplify6.0ms (0.2%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite12.0ms (0.4%)

series92.0ms (3.2%)

simplify98.0ms (3.4%)

prune26.0ms (0.9%)

localize9.0ms (0.3%)

rewrite25.0ms (0.9%)

series323.0ms (11.3%)

simplify130.0ms (4.5%)

prune58.0ms (2%)

localize16.0ms (0.6%)

rewrite14.0ms (0.5%)

series281.0ms (9.8%)

simplify55.0ms (1.9%)

prune47.0ms (1.6%)

localize14.0ms (0.5%)

rewrite15.0ms (0.5%)

series303.0ms (10.6%)

simplify70.0ms (2.4%)

prune46.0ms (1.6%)

regimes166.0ms (5.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample697.0ms (24.3%)

Profiling