Details

analyze20.0ms (0.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample62.0ms (1.7%)

Algorithm

1×

intervals

Results

37.0ms	90×	body	1024	valid
10.0ms	56×	body	512	valid
3.0ms	7×	body	2048	valid
3.0ms	87×	body	128	valid
1.0ms	16×	body	256	valid

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	8	6
2	7	6

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

41.5b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	41.5b	(log.f64 (+.f64 1 x))

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.1b	(log.f64 (+.f64 1 x))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

41.5b

Rules

4×	`*-un-lft-identity_binary64`
4×	`log-prod_binary64`
2×	`add-exp-log_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`

Counts

1 → 15

Calls

1 calls:

2.0ms

(log.f64 (+.f64 1 x))

Compiler

Compiled 140 to 113 computations (19.3% saved)

series14.0ms (0.4%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

7.0ms

(log.f64 (+.f64 1 x))

Compiler

Compiled 224 to 180 computations (19.6% saved)

simplify91.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

405×	`distribute-rgt-neg-in_binary64`
308×	`neg-mul-1_binary64`
307×	`distribute-lft-neg-in_binary64`
278×	`associate-l_binary64`
278×	`sub-neg_binary64`

Counts

24 → 20

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	304
1	144	272
2	315	266
3	773	263
4	2345	263
5	4352	263
6	4969	263
7	4914	263

prune15.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	17	3	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	4	21

Error

0.0b

Counts

21 → 4

Alt Table

Status	Error	Program
	54.4b	(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 1)) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
▶	19.1b	(+.f64 x (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2)))
	41.6b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 x 1)) 3))
✓	41.5b	(log.f64 (+.f64 1 x))

Compiler

Compiled 264 to 191 computations (27.7% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2)))
0.0b	(+.f64 1/3 (*.f64 x -1/4))
0.1b	(.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2))
0.2b	(.f64 x (+.f64 1/3 (.f64 x -1/4)))

rewrite63.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-cbrt-cube_binary64`
11×	`add-exp-log_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
8×	`add-log-exp_binary64`

Counts

4 → 69

Calls

4 calls:

8.0ms	(+.f64 1/3 (*.f64 x -1/4))
8.0ms	(.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2))
4.0ms	(.f64 x (+.f64 1/3 (.f64 x -1/4)))
3.0ms	(+.f64 x (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2)))

Compiler

Compiled 1666 to 1095 computations (34.3% saved)

series59.0ms (1.6%)

Error

0.0b

Counts

4 → 25

Calls

4 calls:

28.0ms	(.f64 x (+.f64 1/3 (.f64 x -1/4)))
9.0ms	(+.f64 x (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2)))
7.0ms	(.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2))
6.0ms	(+.f64 1/3 (*.f64 x -1/4))

Compiler

Compiled 689 to 502 computations (27.1% saved)

simplify129.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

401×	`*-commutative_binary64`
368×	`exp-prod_binary64`
349×	`unswap-sqr_binary64`
241×	`associate-l_binary64`
221×	`sub-neg_binary64`

Counts

94 → 75

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	1622
1	412	1523
2	1466	1514
3	3176	1514
4	4806	1514
5	4975	1514
6	4840	1514

prune60.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	75	4	79

Error

0.0b

Counts

79 → 4

Alt Table

Status	Error	Program
	54.4b	(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 1)) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
✓	19.1b	(+.f64 x (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2)))
▶	41.6b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 x 1)) 3))
✓	41.5b	(log.f64 (+.f64 1 x))

Compiler

Compiled 1262 to 872 computations (30.9% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 x 1)) 3))
0.2b	(pow.f64 (log.f64 (+.f64 x 1)) 3)
3.1b	(log.f64 (+.f64 x 1))

rewrite32.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`cbrt-prod_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`pow1_binary64`

Counts

3 → 63

Calls

3 calls:

3.0ms	(pow.f64 (log.f64 (+.f64 x 1)) 3)
2.0ms	(log.f64 (+.f64 x 1))
2.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 x 1)) 3))

Compiler

Compiled 663 to 575 computations (13.3% saved)

series97.0ms (2.7%)

Error

0.0b

Counts

3 → 27

Calls

3 calls:

62.0ms	(pow.f64 (log.f64 (+.f64 x 1)) 3)
7.0ms	(log.f64 (+.f64 x 1))
7.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 x 1)) 3))

Compiler

Compiled 970 to 808 computations (16.7% saved)

simplify104.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

414×	`associate-l_binary64`
373×	`associate-r_binary64`
343×	`log-prod_binary64`
309×	`sub-neg_binary64`
211×	`unsub-neg_binary64`

Counts

90 → 70

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	1288
1	302	1181
2	900	1129
3	3523	1127
4	4882	1127
5	4975	1127

prune28.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	70	4	74

Error

0.0b

Counts

74 → 4

Alt Table

Status	Error	Program
	54.4b	(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 1)) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
✓	19.1b	(+.f64 x (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2)))
▶	41.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x 1)) 3)) 3))
✓	41.5b	(log.f64 (+.f64 1 x))

Compiler

Compiled 604 to 423 computations (30% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x 1)) 3)) 3))
0.2b	(pow.f64 (log.f64 (+.f64 x 1)) 3)
0.2b	(pow.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x 1)) 3)) 3)
3.1b	(log.f64 (+.f64 x 1))

rewrite73.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

96×	`cbrt-prod_binary64`
54×	`cube-prod_binary64`
54×	`unpow-prod-down_binary64`
28×	`*-un-lft-identity_binary64`
26×	`add-sqr-sqrt_binary64`

Counts

4 → 141

Calls

4 calls:

6.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x 1)) 3)) 3))
4.0ms	(pow.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x 1)) 3)) 3)
3.0ms	(log.f64 (+.f64 x 1))
2.0ms	(pow.f64 (log.f64 (+.f64 x 1)) 3)

Compiler

Compiled 1606 to 1446 computations (10% saved)

series102.0ms (2.8%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

15.0ms	(pow.f64 (log.f64 (+.f64 x 1)) 3)
15.0ms	(pow.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x 1)) 3)) 3)
8.0ms	(log.f64 (+.f64 x 1))
6.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x 1)) 3)) 3))

Compiler

Compiled 1558 to 1320 computations (15.3% saved)

simplify147.0ms (4%)

Algorithm

1×	egg-herbie

Rules

507×	`associate-l_binary64`
458×	`associate-r_binary64`
420×	`log-prod_binary64`
271×	`unswap-sqr_binary64`
247×	`exp-prod_binary64`

Counts

177 → 153

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	2756
1	319	2510
2	939	2386
3	3770	2386
4	4731	2386
5	4932	2386

prune35.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	153	4	157

Error

0.0b

Counts

157 → 4

Alt Table

Status	Error	Program
	54.4b	(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 1)) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
	19.1b	(+.f64 x (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2)))
	41.7b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x 1)) 3)) 3)) 3))
	41.5b	(log.f64 (+.f64 1 x))

Compiler

Compiled 963 to 693 computations (28% saved)

regimes142.0ms (3.9%)

Accuracy

Total 0.3b remaining (92.7%)

Threshold costs 0.3b (92.7%)

Compiler

Compiled 1975 to 1582 computations (19.9% saved)

bsearch1.0ms (0%)

Compiler: Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
3×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	37
1	28	37
2	27	37

end1.0ms (0%)

Compiler: Compiled 26 to 19 computations (26.9% saved)

sample2.3s (63.6%)

Algorithm

1×

intervals

Results

1.4s	2628×	body	1024	valid
276.0ms	1379×	body	512	valid
125.0ms	271×	body	2048	valid
117.0ms	3041×	body	128	valid
67.0ms	681×	body	256	valid

Compiler

Compiled 84 to 65 computations (22.6% saved)

Details

analyze20.0ms (0.5%)

sample62.0ms (1.7%)

simplify9.0ms (0.3%)

prune1.0ms (0%)

localize3.0ms (0.1%)

rewrite12.0ms (0.3%)

series14.0ms (0.4%)

simplify91.0ms (2.5%)

prune15.0ms (0.4%)

localize8.0ms (0.2%)

rewrite63.0ms (1.7%)

series59.0ms (1.6%)

simplify129.0ms (3.5%)

prune60.0ms (1.7%)

localize5.0ms (0.1%)

rewrite32.0ms (0.9%)

series97.0ms (2.7%)

simplify104.0ms (2.9%)

prune28.0ms (0.8%)

localize7.0ms (0.2%)

rewrite73.0ms (2%)

series102.0ms (2.8%)

simplify147.0ms (4%)

prune35.0ms (1%)

regimes142.0ms (3.9%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample2.3s (63.6%)

Profiling