Details

analyze269.0ms (5.9%)

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
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)

sample15.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify167.0ms (3.7%)

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%)

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: 0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110` `pow1_binary64_135`
4×	`add-log-exp_binary64_113`
3×	`pow-prod-down_binary64_145` `cbrt-unprod_binary64_107` `prod-exp_binary64_123` `add-cube-cbrt_binary64_109` `-un-lft-identity_binary64_77` `add-sqr-sqrt_binary64_98` `associate-r*_binary64_19`
1×	`associate-l_binary64_20` `flip-+_binary64_51` `flip3-+_binary64_80` `+-commutative_binary64_9` `*-commutative_binary64_10` `sum-log_binary64_165`

Counts

2 → 29

Calls

2 calls:

6.0ms	(.f64 (.f64 y z) z)
4.0ms	(+.f64 x (.f64 (.f64 y z) z))

series152.0ms (3.3%)

Counts

2 → 6

Calls

2 calls:

98.0ms	(+.f64 x (.f64 (.f64 y z) z))
54.0ms	(.f64 (.f64 y z) z)

simplify87.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4882	376
1	4882	376

prune26.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	30	5	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	6	36

Merged error: 0.0b

Counts

36 → 6

Compiler

Compiled 429 to 136 computations (68.3% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_105`
23×	`add-sqr-sqrt_binary64_98`
15×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
11×	`pow1_binary64_135`
9×	`pow1/3_binary64_156`
6×	`add-exp-log_binary64_112` `associate-l_binary64_20` `swap-sqr_binary64_44` `associate-r_binary64_19`
4×	`add-cbrt-cube_binary64_110` `add-log-exp_binary64_113` `unswap-sqr_binary64_45`
2×	`pow-prod-down_binary64_145` `pow-sqr_binary64_50` `pow-prod-up_binary64_144`
1×	`pow2_binary64_155` `cbrt-unprod_binary64_107` `pow-plus_binary64_137` `prod-exp_binary64_123` `*-commutative_binary64_10`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series627.0ms (13.7%)

Counts

4 → 12

Calls

4 calls:

165.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
160.0ms	(cbrt.f64 z)
155.0ms	(cbrt.f64 z)
146.0ms	(cbrt.f64 z)

simplify72.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4957	563
1	4957	563

prune69.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

Compiler

Compiled 1481 to 489 computations (67% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 (cbrt.f64 z))
0.6b	(cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`cbrt-prod_binary64_105`
11×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77` `add-sqr-sqrt_binary64_98`
9×	`unpow-prod-down_binary64_153`
5×	`add-exp-log_binary64_112` `pow1_binary64_135`
4×	`add-cbrt-cube_binary64_110` `add-log-exp_binary64_113` `pow1/3_binary64_156`
3×	`pow-unpow_binary64_151`
2×	`pow-pow_binary64_146`
1×	`pow-to-exp_binary64_143` `sqr-pow_binary64_49` `pow-exp_binary64_142`

Counts

4 → 58

Calls

4 calls:

4.0ms	(cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)
2.0ms	(cbrt.f64 (cbrt.f64 z))
1.0ms	(cbrt.f64 z)

series867.0ms (19%)

Counts

4 → 12

Calls

4 calls:

273.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)
235.0ms	(cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
208.0ms	(cbrt.f64 (cbrt.f64 z))
151.0ms	(cbrt.f64 z)

simplify70.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4744	625
1	4744	625

prune75.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	69	7	76

Merged error: 0.0b

Counts

76 → 7

Compiler

Compiled 1773 to 700 computations (60.5% saved)

localize22.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`cbrt-prod_binary64_105`
27×	`unpow-prod-down_binary64_153`
16×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77` `add-sqr-sqrt_binary64_98`
9×	`pow-unpow_binary64_151`
7×	`add-exp-log_binary64_112` `pow1_binary64_135`
6×	`pow-pow_binary64_146`
4×	`add-cbrt-cube_binary64_110` `add-log-exp_binary64_113` `pow1/3_binary64_156`
3×	`pow-to-exp_binary64_143` `sqr-pow_binary64_49` `pow-exp_binary64_142`

Counts

4 → 81

Calls

4 calls:

4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)
4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)
4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)
4.0ms	(cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))

series1.0s (22.6%)

Counts

4 → 12

Calls

4 calls:

276.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)
270.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)
263.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)
223.0ms	(cbrt.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z)))

simplify87.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4884	1076
1	4884	1076

prune153.0ms (3.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	92	8	100

Merged error: 0.0b

Counts

100 → 8

Compiler

Compiled 3702 to 1671 computations (54.9% saved)

regimes93.0ms (2%)

Compiler: Compiled 795 to 565 computations (28.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample586.0ms (12.8%)

Algorithm

1×

intervals

Results

214.0ms	8000×	body	128	valid
16.0ms	653×	body	128	invalid

Compiler

Compiled 168 to 121 computations (28% saved)

Details

analyze269.0ms (5.9%)

sample15.0ms (0.3%)

simplify167.0ms (3.7%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite11.0ms (0.2%)

series152.0ms (3.3%)

simplify87.0ms (1.9%)

prune26.0ms (0.6%)

localize12.0ms (0.3%)

rewrite16.0ms (0.3%)

series627.0ms (13.7%)

simplify72.0ms (1.6%)

prune69.0ms (1.5%)

localize14.0ms (0.3%)

rewrite16.0ms (0.4%)

series867.0ms (19%)

simplify70.0ms (1.5%)

prune75.0ms (1.6%)

localize22.0ms (0.5%)

rewrite27.0ms (0.6%)

series1.0s (22.6%)

simplify87.0ms (1.9%)

prune153.0ms (3.3%)

regimes93.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample586.0ms (12.8%)

Profiling