Details

analyze3.0ms (0.1%)

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 5 to 5 computations (0% saved)

sample55.0ms (1.7%)

Algorithm

1×

intervals

Results

28.0ms	78×	body	1024	valid
10.0ms	47×	body	512	valid
5.0ms	12×	body	2048	valid
3.0ms	96×	body	128	valid
2.0ms	23×	body	256	valid

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify167.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6

prune2.0ms (0.1%)

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: 39.0b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.9b	(log.f64 (+.f64 1 x))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_767` `log-prod_binary64_853`
2×	`log-div_binary64_854` `add-exp-log_binary64_805` `pow1_binary64_828` `add-sqr-sqrt_binary64_789` `add-cube-cbrt_binary64_802`
1×	`distribute-lft-out_binary64_718` `add-log-exp_binary64_806` `flip-+_binary64_741` `log-pow_binary64_856` `rem-log-exp_binary64_808` `flip3-+_binary64_770` `add-cbrt-cube_binary64_803`

Counts

1 → 15

Calls

1 calls:

4.0ms

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

series25.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify93.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4863	210
1	4863	210

prune44.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	3	19

Merged error: 0.1b

Counts

19 → 3

Compiler

Compiled 485 to 406 computations (16.3% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
0.1b	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
0.4b	(*.f64 x 1/3)

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_789`
9×	`associate-l_binary64_708` `associate-r_binary64_707` `add-exp-log_binary64_805` `pow1_binary64_828` `*-un-lft-identity_binary64_767` `add-cbrt-cube_binary64_803` `add-cube-cbrt_binary64_802`
4×	`associate-*r/_binary64_709`
3×	`unswap-sqr_binary64_735` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `*-commutative_binary64_698` `add-log-exp_binary64_806` `pow-prod-down_binary64_838`
2×	`flip-+_binary64_741` `distribute-rgt-in_binary64_717` `distribute-lft-in_binary64_716` `flip3-+_binary64_770`

Counts

3 → 62

Calls

3 calls:

6.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
6.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
4.0ms	(*.f64 x 1/3)

series130.0ms (4.1%)

Counts

3 → 9

Calls

3 calls:

76.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
33.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
20.0ms	(*.f64 x 1/3)

simplify59.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5078	905

prune90.0ms (2.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	70	4	74

Merged error: 0.1b

Counts

74 → 4

Compiler

Compiled 1473 to 1126 computations (23.6% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
0.1b	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
0.4b	(*.f64 x 1/3)

rewrite26.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-exp-log_binary64_805` `pow1_binary64_828` `add-sqr-sqrt_binary64_789` `add-cbrt-cube_binary64_803`
9×	`associate-l_binary64_708`
8×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
7×	`associate-r_binary64_707`
6×	`associate-*r/_binary64_709`
5×	`cbrt-unprod_binary64_800` `prod-exp_binary64_816` `distribute-rgt-in_binary64_717` `distribute-lft-in_binary64_716` `pow-prod-down_binary64_838`
3×	`*-commutative_binary64_698` `add-log-exp_binary64_806`
2×	`unswap-sqr_binary64_735` `flip-+_binary64_741` `flip3-+_binary64_770`

Counts

3 → 64

Calls

3 calls:

9.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
7.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
4.0ms	(*.f64 x 1/3)

series207.0ms (6.5%)

Counts

3 → 9

Calls

3 calls:

105.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
81.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
21.0ms	(*.f64 x 1/3)

simplify65.0ms (2%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5111	822

prune58.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	73	4	77

Merged error: 0.1b

Counts

77 → 4

Compiler

Compiled 1143 to 784 computations (31.4% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(sqrt.f64 (+.f64 1 x))
3.9b	(log.f64 (sqrt.f64 (+.f64 1 x)))
3.9b	(log.f64 (sqrt.f64 (+.f64 1 x)))

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_767`
16×	`sqrt-prod_binary64_783`
14×	`log-prod_binary64_853`
12×	`add-sqr-sqrt_binary64_789`
10×	`pow1_binary64_828` `add-cube-cbrt_binary64_802`
8×	`sqrt-div_binary64_784`
6×	`add-exp-log_binary64_805` `log-pow_binary64_856`
4×	`log-div_binary64_854` `distribute-lft-out_binary64_718` `add-log-exp_binary64_806` `flip-+_binary64_741` `pow1/2_binary64_847` `flip3-+_binary64_770` `sqrt-pow1_binary64_785` `add-cbrt-cube_binary64_803`
2×	`rem-sqrt-square_binary64_780` `rem-log-exp_binary64_808`

Counts

4 → 72

Calls

4 calls:

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

series133.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
38.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
27.0ms	(sqrt.f64 (+.f64 1 x))
24.0ms	(sqrt.f64 (+.f64 1 x))

simplify98.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4956	1256
1	4956	1256

prune95.0ms (3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

Compiler

Compiled 1612 to 1258 computations (22% saved)

regimes29.0ms (0.9%)

Compiler: Compiled 118 to 100 computations (15.3% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	44
1	30	44

end0.0ms (0%)

sample1.7s (54.1%)

Algorithm

1×

intervals

Results

951.0ms	2707×	body	1024	valid
215.0ms	1310×	body	512	valid
134.0ms	284×	body	2048	valid
94.0ms	3022×	body	128	valid
56.0ms	677×	body	256	valid

Compiler

Compiled 108 to 90 computations (16.7% saved)

Details

analyze3.0ms (0.1%)

sample55.0ms (1.7%)

simplify167.0ms (5.3%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite5.0ms (0.1%)

series25.0ms (0.8%)

simplify93.0ms (2.9%)

prune44.0ms (1.4%)

localize9.0ms (0.3%)

rewrite21.0ms (0.7%)

series130.0ms (4.1%)

simplify59.0ms (1.9%)

prune90.0ms (2.8%)

localize7.0ms (0.2%)

rewrite26.0ms (0.8%)

series207.0ms (6.5%)

simplify65.0ms (2%)

prune58.0ms (1.8%)

localize7.0ms (0.2%)

rewrite21.0ms (0.7%)

series133.0ms (4.2%)

simplify98.0ms (3.1%)

prune95.0ms (3%)

regimes29.0ms (0.9%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.7s (54.1%)

Profiling