Details

analyze1.4s (19.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	14
1	45	14
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample131.0ms (1.9%)

Algorithm

1×

intervals

Results

86.0ms	139×	body	1024	valid
21.0ms	67×	body	512	valid
7.0ms	8×	body	2048	valid
5.0ms	256×	pre	128	true
4.0ms	26×	body	256	valid
1.0ms	16×	body	128	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	45	14
1	45	14

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 61.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
4.2b	(log.f64 (+.f64 1 x))
4.4b	(log.f64 (-.f64 1 x))

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_760`
18×	`add-sqr-sqrt_binary64_782`
16×	`times-frac_binary64_766`
15×	`add-cube-cbrt_binary64_795` `pow1_binary64_821`
12×	`log-pow_binary64_849`
10×	`log-prod_binary64_846`
7×	`add-exp-log_binary64_798`
6×	`log-div_binary64_847`
5×	`add-cbrt-cube_binary64_796`
4×	`associate-/r_binary64_704` `associate-/l_binary64_705`
3×	`add-log-exp_binary64_799`
2×	`difference-of-squares_binary64_729` `div-sub_binary64_765` `rem-log-exp_binary64_801` `flip--_binary64_735` `flip3--_binary64_764`
1×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `distribute-lft-out_binary64_711` `flip3-+_binary64_763` `div-inv_binary64_757` `flip-+_binary64_734` `distribute-lft-out--_binary64_712` `div-exp_binary64_811` `clear-num_binary64_759`

Counts

3 → 70

Calls

3 calls:

6.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

series99.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

72.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
14.0ms	(log.f64 (-.f64 1 x))
13.0ms	(log.f64 (+.f64 1 x))

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5149	1554

prune92.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	75	4	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	5	80

Merged error: 0.0b

Counts

80 → 5

Compiler

Compiled 1417 to 1095 computations (22.7% saved)

localize7.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune5.0ms (0.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	1	1
Total	5	5

Merged error: 0.0b

Counts

5 → 5

Compiler

Compiled 71 to 60 computations (15.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.2b	(log.f64 (+.f64 1 x))
4.4b	(log.f64 (-.f64 1 x))
4.4b	(log.f64 (-.f64 1 x))
4.4b	(log.f64 (-.f64 1 x))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`log-prod_binary64_846`
19×	`*-un-lft-identity_binary64_760`
17×	`add-sqr-sqrt_binary64_782`
8×	`log-div_binary64_847` `add-exp-log_binary64_798` `add-cube-cbrt_binary64_795` `pow1_binary64_821`
6×	`difference-of-squares_binary64_729`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `log-pow_binary64_849` `rem-log-exp_binary64_801`
3×	`distribute-lft-out--_binary64_712` `flip--_binary64_735` `flip3--_binary64_764`
1×	`distribute-lft-out_binary64_711` `flip3-+_binary64_763` `flip-+_binary64_734`

Counts

4 → 66

Calls

4 calls:

4.0ms	(log.f64 (-.f64 1 x))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

series48.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

13.0ms	(log.f64 (-.f64 1 x))
12.0ms	(log.f64 (+.f64 1 x))
12.0ms	(log.f64 (-.f64 1 x))
12.0ms	(log.f64 (-.f64 1 x))

simplify82.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5465	960

prune177.0ms (2.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	78	5	83

Merged error: 0.0b

Counts

83 → 5

Compiler

Compiled 3199 to 2616 computations (18.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 (log.f64 (-.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (+.f64 x (*.f64 x x))))) (log.f64 (+.f64 1 x)))
1.9b	(log.f64 (-.f64 1 (pow.f64 x 3)))
4.2b	(log.f64 (+.f64 1 (+.f64 x (*.f64 x x))))
4.2b	(log.f64 (+.f64 1 x))

rewrite43.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`*-un-lft-identity_binary64_760`
41×	`add-sqr-sqrt_binary64_782`
36×	`pow1_binary64_821`
32×	`log-pow_binary64_849` `times-frac_binary64_766`
21×	`add-cube-cbrt_binary64_795` `distribute-lft-out--_binary64_712`
20×	`log-prod_binary64_846`
13×	`difference-of-squares_binary64_729`
9×	`add-exp-log_binary64_798`
8×	`associate-/l*_binary64_705`
6×	`log-div_binary64_847` `add-cbrt-cube_binary64_796`
4×	`associate-/r*_binary64_704` `add-log-exp_binary64_799`
3×	`rem-log-exp_binary64_801`
2×	`distribute-lft-out_binary64_711` `flip3-+_binary64_763` `associate-/l/_binary64_707` `flip-+_binary64_734` `sqr-pow_binary64_732` `cube-prod_binary64_788` `unpow-prod-down_binary64_839` `flip--_binary64_735` `flip3--_binary64_764`
1×	`frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `div-inv_binary64_757` `div-sub_binary64_765` `div-exp_binary64_811` `clear-num_binary64_759`

Counts

4 → 112

Calls

4 calls:

16.0ms	(/.f64 (-.f64 (log.f64 (-.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (+.f64 x (*.f64 x x))))) (log.f64 (+.f64 1 x)))
7.0ms	(log.f64 (-.f64 1 (pow.f64 x 3)))
5.0ms	(log.f64 (+.f64 1 (+.f64 x (*.f64 x x))))
3.0ms	(log.f64 (+.f64 1 x))

series196.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

88.0ms	(/.f64 (-.f64 (log.f64 (-.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (+.f64 x (*.f64 x x))))) (log.f64 (+.f64 1 x)))
78.0ms	(log.f64 (-.f64 1 (pow.f64 x 3)))
16.0ms	(log.f64 (+.f64 1 (+.f64 x (*.f64 x x))))
13.0ms	(log.f64 (+.f64 1 x))

simplify80.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5123	3879

prune191.0ms (2.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	1	1
Picked	1	0	1
Done	1	2	3
Total	125	4	129

Merged error: 0.0b

Counts

129 → 4

Compiler

Compiled 3727 to 2538 computations (31.9% saved)

regimes44.0ms (0.6%)

Compiler: Compiled 474 to 382 computations (19.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	13
1	53	13

end0.0ms (0%)

sample4.3s (60.9%)

Algorithm

1×

intervals

Results

2.5s	4025×	body	1024	valid
608.0ms	2014×	body	512	valid
339.0ms	405×	body	2048	valid
158.0ms	996×	body	256	valid
150.0ms	8000×	pre	128	true
37.0ms	560×	body	128	valid

Compiler

Compiled 268 to 216 computations (19.4% saved)

Details

analyze1.4s (19.9%)

sample131.0ms (1.9%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite18.0ms (0.3%)

series99.0ms (1.4%)

simplify57.0ms (0.8%)

prune92.0ms (1.3%)

localize7.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune5.0ms (0.1%)

localize14.0ms (0.2%)

rewrite22.0ms (0.3%)

series48.0ms (0.7%)

simplify82.0ms (1.2%)

prune177.0ms (2.5%)

localize13.0ms (0.2%)

rewrite43.0ms (0.6%)

series196.0ms (2.8%)

simplify80.0ms (1.1%)

prune191.0ms (2.7%)

regimes44.0ms (0.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.3s (60.9%)

Profiling