Details

analyze312.0ms (10.9%)

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
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	56.9%	2.5%	9
45.2%	50.7%	4%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	11%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample18.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	254×	body	128	valid
1.0ms	22×	body	128	invalid
0.0ms	2×	body	1024	valid

Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify103.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	135	10
1	135	10

prune5.0ms (0.2%)

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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 27 to 25 computations (7.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_4170`
5×	`add-sqr-sqrt_binary64_4192` `associate-r_binary64_4110`
3×	`pow1_binary64_4231` `associate-l_binary64_4111` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `distribute-lft-out_binary64_4121` `add-cube-cbrt_binary64_4205`
2×	`associate-*r/_binary64_4112`
1×	`distribute-lft-in_binary64_4119` `distribute-rgt-in_binary64_4120` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `flip-+_binary64_4144` `flip3-+_binary64_4173` `*-commutative_binary64_4101` `pow-prod-down_binary64_4241` `add-log-exp_binary64_4209` `unswap-sqr_binary64_4138`

Counts

1 → 24

Calls

1 calls:

10.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

series106.0ms (3.7%)

Counts

1 → 15

Calls

1 calls:

106.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 196 to 178 computations (9.2% saved)

simplify79.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4922	411
1	4922	411

prune30.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	37	4	41

Error

Counts

41 → 4

Compiler

Compiled 425 to 268 computations (36.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d3 37))
0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 (+.f64 d3 37)))

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`
4×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `associate-r_binary64_4110` `add-cbrt-cube_binary64_4206` `add-log-exp_binary64_4209` `add-cube-cbrt_binary64_4205`
3×	`associate-l_binary64_4111`
2×	`distribute-lft-in_binary64_4119` `distribute-rgt-in_binary64_4120` `associate-*r/_binary64_4112` `flip-+_binary64_4144` `flip3-+_binary64_4173` `associate-+r+_binary64_4102` `distribute-lft-out_binary64_4121`
1×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `+-commutative_binary64_4100` `*-commutative_binary64_4101` `sum-log_binary64_4261` `pow-prod-down_binary64_4241` `unswap-sqr_binary64_4138`

Counts

2 → 37

Calls

2 calls:

7.0ms	(*.f64 d1 (+.f64 d3 37))
4.0ms	(+.f64 (.f64 d1 d2) (.f64 d1 (+.f64 d3 37)))

series176.0ms (6.2%)

Counts

2 → 24

Calls

2 calls:

127.0ms	(+.f64 (.f64 d1 d2) (.f64 d1 (+.f64 d3 37)))
49.0ms	(*.f64 d1 (+.f64 d3 37))

Compiler

Compiled 341 to 301 computations (11.7% saved)

simplify62.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5236	594

prune40.0ms (1.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	61	4	65

Error

Counts

65 → 4

Compiler

Compiled 690 to 379 computations (45.1% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 d3 5) d1)
0.0b	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

rewrite22.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64_4209`
7×	`add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`
5×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205`
4×	`associate-l_binary64_4111` `sum-log_binary64_4261`
3×	`flip-+_binary64_4144` `associate-r_binary64_4110` `flip3-+_binary64_4173`
2×	`associate-*l/_binary64_4113` `+-commutative_binary64_4100`
1×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `*-commutative_binary64_4101` `pow-prod-down_binary64_4241` `associate-+l+_binary64_4103` `distribute-lft-out_binary64_4121` `unswap-sqr_binary64_4138`

Counts

3 → 45

Calls

3 calls:

7.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
7.0ms	(*.f64 (+.f64 d3 5) d1)
4.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))

series337.0ms (11.8%)

Counts

3 → 39

Calls

3 calls:

144.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
134.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
59.0ms	(*.f64 (+.f64 d3 5) d1)

Compiler

Compiled 697 to 598 computations (14.2% saved)

simplify71.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4992	901
1	4992	901

prune63.0ms (2.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Error

Counts

88 → 4

Compiler

Compiled 1144 to 685 computations (40.1% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 d3 37))
0.0b	(+.f64 (.f64 d1 d2) (.f64 (*.f64 d1 (sqrt.f64 (+.f64 d3 37))) (sqrt.f64 (+.f64 d3 37))))
0.3b	(*.f64 d1 (sqrt.f64 (+.f64 d3 37)))
0.3b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d3 37))) (sqrt.f64 (+.f64 d3 37)))

rewrite36.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_4170` `sqrt-div_binary64_4187`
15×	`add-sqr-sqrt_binary64_4192`
14×	`associate-r_binary64_4110`
13×	`sqrt-prod_binary64_4186`
12×	`pow1_binary64_4231`
11×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
10×	`associate-*r/_binary64_4112` `add-cube-cbrt_binary64_4205`
9×	`flip-+_binary64_4144` `flip3-+_binary64_4173`
6×	`add-log-exp_binary64_4209`
4×	`frac-times_binary64_4180` `associate-l_binary64_4111` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `pow-prod-down_binary64_4241`
3×	`distribute-lft-out_binary64_4121`
2×	`associate-l/_binary64_4113` `-commutative_binary64_4101` `unswap-sqr_binary64_4138`
1×	`pow1/2_binary64_4250` `+-commutative_binary64_4100` `sqrt-pow1_binary64_4188` `rem-sqrt-square_binary64_4183` `sum-log_binary64_4261`

Counts

4 → 82

Calls

4 calls:

13.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d3 37))) (sqrt.f64 (+.f64 d3 37)))
8.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d3 37)))
4.0ms	(+.f64 (.f64 d1 d2) (.f64 (*.f64 d1 (sqrt.f64 (+.f64 d3 37))) (sqrt.f64 (+.f64 d3 37))))
3.0ms	(sqrt.f64 (+.f64 d3 37))

series301.0ms (10.6%)

Counts

4 → 39

Calls

4 calls:

142.0ms	(+.f64 (.f64 d1 d2) (.f64 (*.f64 d1 (sqrt.f64 (+.f64 d3 37))) (sqrt.f64 (+.f64 d3 37))))
74.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d3 37)))
58.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d3 37))) (sqrt.f64 (+.f64 d3 37)))
27.0ms	(sqrt.f64 (+.f64 d3 37))

Compiler

Compiled 807 to 699 computations (13.4% saved)

simplify75.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4953	1496
1	4953	1496

prune106.0ms (3.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	121	4	125

Error

Counts

125 → 4

Compiler

Compiled 2018 to 1262 computations (37.5% saved)

regimes126.0ms (4.4%)

Accuracy

Total 0.0b remaining (80.7%)

Threshold costs 0.0b (80.7%)

Compiler

Compiled 797 to 767 computations (3.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample727.0ms (25.5%)

Algorithm

1×

intervals

Results

290.0ms	7966×	body	128	valid
26.0ms	676×	body	128	invalid
2.0ms	16×	body	512	valid
1.0ms	11×	body	1024	valid
0.0ms	7×	body	256	valid

Compiler

Compiled 169 to 161 computations (4.7% saved)

Details

analyze312.0ms (10.9%)

sample18.0ms (0.6%)

simplify103.0ms (3.6%)

prune5.0ms (0.2%)

localize5.0ms (0.2%)

rewrite11.0ms (0.4%)

series106.0ms (3.7%)

simplify79.0ms (2.8%)

prune30.0ms (1.1%)

localize6.0ms (0.2%)

rewrite13.0ms (0.5%)

series176.0ms (6.2%)

simplify62.0ms (2.2%)

prune40.0ms (1.4%)

localize9.0ms (0.3%)

rewrite22.0ms (0.8%)

series337.0ms (11.8%)

simplify71.0ms (2.5%)

prune63.0ms (2.2%)

localize9.0ms (0.3%)

rewrite36.0ms (1.3%)

series301.0ms (10.6%)

simplify75.0ms (2.6%)

prune106.0ms (3.7%)

regimes126.0ms (4.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample727.0ms (25.5%)

Profiling