Details

analyze655.0ms (14.1%)

Algorithm

2×	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%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
21.8%	78%	0.1%	8
32.8%	67.1%	0.1%	9
32.8%	67.1%	0.1%	9
43.7%	43.7%	12.6%	10
43.7%	43.7%	12.6%	10
46.8%	40.6%	12.6%	11
46.8%	40.6%	12.6%	11
52.7%	34.7%	12.6%	12
52.7%	34.7%	12.6%	12
58.5%	22.6%	18.9%	13
58.5%	22.6%	18.9%	13
60.5%	20.7%	18.9%	14
60.5%	20.7%	18.9%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample448.0ms (9.6%)

Algorithm

2×

intervals

Results

12.0ms	512×	body	128	valid
5.0ms	164×	body	128	invalid

Compiler

Compiled 2663 to 3326 computations (-24.9% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	10
1	13	10

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

0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (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)

rewrite36.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
4×	`add-log-exp_binary64_117`
3×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `add-cube-cbrt_binary64_113` `cbrt-unprod_binary64_111` `add-sqr-sqrt_binary64_100` `-un-lft-identity_binary64_78` `associate-r*_binary64_18`
1×	`associate-l_binary64_19` `*-commutative_binary64_9` `sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `+-commutative_binary64_8`

Counts

2 → 29

Calls

2 calls:

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

Compiler

Compiled 398 to 108 computations (72.9% saved)

series281.0ms (6%)

Error

0.1b

Counts

2 → 24

Calls

2 calls:

168.0ms	(+.f64 x (.f64 (.f64 y z) z))
97.0ms	(.f64 (.f64 y z) z)

Compiler

Compiled 373 to 330 computations (11.5% saved)

simplify96.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4953	505
1	4953	505

prune35.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	4	54

Error

0.0b

Counts

54 → 4

Compiler

Compiled 502 to 124 computations (75.3% saved)

localize9.0ms (0.2%)

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)

rewrite86.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1378 to 364 computations (73.6% saved)

series486.0ms (10.4%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

138.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
121.0ms	(cbrt.f64 z)
111.0ms	(cbrt.f64 z)
104.0ms	(cbrt.f64 z)

Compiler

Compiled 591 to 406 computations (31.3% saved)

simplify72.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune81.0ms (1.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Error

0.0b

Counts

89 → 5

Compiler

Compiled 1442 to 444 computations (69.2% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite83.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`cbrt-prod_binary64_109`
11×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
9×	`unpow-prod-down_binary64_157`
5×	`pow1_binary64_139` `add-exp-log_binary64_116`
4×	`pow1/3_binary64_160` `add-log-exp_binary64_117` `add-cbrt-cube_binary64_114`
3×	`pow-unpow_binary64_155`
2×	`pow-pow_binary64_150`
1×	`pow-to-exp_binary64_147` `pow-exp_binary64_146` `sqr-pow_binary64_50`

Counts

4 → 57

Calls

4 calls:

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

Compiler

Compiled 1541 to 513 computations (66.7% saved)

series590.0ms (12.7%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

222.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)
124.0ms	(cbrt.f64 z)
115.0ms	(cbrt.f64 z)
113.0ms	(cbrt.f64 z)

Compiler

Compiled 885 to 550 computations (37.9% saved)

simplify38.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4961	535
1	4961	535

prune92.0ms (2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	68	6	74

Error

0.0b

Counts

74 → 6

Compiler

Compiled 1780 to 641 computations (64% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 z z) y))
10.2b	(.f64 (.f64 z z) y)

rewrite34.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
4×	`add-log-exp_binary64_117` `add-sqr-sqrt_binary64_100`
3×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `add-cube-cbrt_binary64_113` `cbrt-unprod_binary64_111` `-un-lft-identity_binary64_78` `associate-r*_binary64_18`
1×	`unswap-sqr_binary64_46` `associate-l_binary64_19` `*-commutative_binary64_9` `sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `+-commutative_binary64_8`

Counts

2 → 30

Calls

2 calls:

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

Compiler

Compiled 409 to 111 computations (72.9% saved)

series248.0ms (5.3%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

158.0ms	(+.f64 x (.f64 (.f64 z z) y))
76.0ms	(.f64 (.f64 z z) y)

Compiler

Compiled 373 to 330 computations (11.5% saved)

simplify71.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4930	519
1	4930	519

prune31.0ms (0.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	53	7	60

Error

0.0b

Counts

60 → 7

Compiler

Compiled 483 to 95 computations (80.3% saved)

regimes214.0ms (4.6%)

Accuracy

Total 0.1b remaining (79.7%)

Threshold costs 0.1b (79.7%)

Compiler

Compiled 1735 to 1165 computations (32.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample928.0ms (19.9%)

Algorithm

1×

intervals

Results

210.0ms	8000×	body	128	valid
68.0ms	2668×	body	128	invalid

Compiler

Compiled 356 to 241 computations (32.3% saved)

Details

analyze655.0ms (14.1%)

sample448.0ms (9.6%)

simplify7.0ms (0.1%)

prune4.0ms (0.1%)

localize6.0ms (0.1%)

rewrite36.0ms (0.8%)

series281.0ms (6%)

simplify96.0ms (2.1%)

prune35.0ms (0.7%)

localize9.0ms (0.2%)

rewrite86.0ms (1.8%)

series486.0ms (10.4%)

simplify72.0ms (1.5%)

prune81.0ms (1.7%)

localize13.0ms (0.3%)

rewrite83.0ms (1.8%)

series590.0ms (12.7%)

simplify38.0ms (0.8%)

prune92.0ms (2%)

localize6.0ms (0.1%)

rewrite34.0ms (0.7%)

series248.0ms (5.3%)

simplify71.0ms (1.5%)

prune31.0ms (0.7%)

regimes214.0ms (4.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample928.0ms (19.9%)

Profiling