Details

analyze71.0ms (1.5%)

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
25%	74.9%	0.1%	5
43.7%	43.7%	12.6%	6
53.1%	31.2%	15.7%	7
59.3%	18.7%	22%	8
62.4%	14%	23.5%	9
64.8%	8.6%	26.6%	10
66%	6.6%	27.4%	11
66.9%	4.1%	29%	12
67.4%	3.2%	29.4%	13
67.9%	2%	30.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample25.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	241×	body	128	valid
3.0ms	7×	body	1024	valid
1.0ms	6×	body	512	valid
0.0ms	2×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 19 to 19 computations (0% saved)

simplify229.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	4811	14
1	4811	14

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

Error

0.8b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.2%)

Local error

Found 6 expressions with local error:

0.7b	(log.f64 (+.f64 1 (exp.f64 x)))
0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0b	(+.f64 1 (exp.f64 x))
0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0b	(+.f64 1 (exp.f64 x))
0.7b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_5875`
8×	`log-prod_binary64_5961`
6×	`add-log-exp_binary64_5914`
5×	`add-cube-cbrt_binary64_5910` `add-sqr-sqrt_binary64_5897`
4×	`add-exp-log_binary64_5913` `pow1_binary64_5936` `associate--l+_binary64_5812` `log-div_binary64_5962`
3×	`flip-+_binary64_5849` `distribute-lft-out_binary64_5826` `flip3-+_binary64_5878` `add-cbrt-cube_binary64_5911`
2×	`associate--l-_binary64_5813`
1×	`rem-log-exp_binary64_5916` `diff-log_binary64_5967` `sub-neg_binary64_5868` `cancel-sign-sub-inv_binary64_5841` `sum-log_binary64_5966` `+-commutative_binary64_5805` `flip3--_binary64_5879` `flip--_binary64_5850` `log-pow_binary64_5964`

Counts

3 → 45

Calls

6 calls:

6.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
4.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(+.f64 1 (exp.f64 x))
0.0ms	(+.f64 1 (exp.f64 x))
0.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

series242.0ms (5.1%)

Counts

3 → 26

Calls

3 calls:

167.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
57.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
18.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 339 to 306 computations (9.7% saved)

simplify107.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4869	946
1	4869	946

prune85.0ms (1.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	4	72

Error

0.4b

Counts

72 → 4

Compiler

Compiled 995 to 566 computations (43.1% saved)

localize10.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.7b	(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
0.7b	(log.f64 (+.f64 1 (exp.f64 x)))
0.0b	(-.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)) (*.f64 x y))
0.0b	(+.f64 1 (exp.f64 x))
0.0b	(+.f64 1 (exp.f64 x))
0.7b	(log.f64 (+.f64 1 (exp.f64 x)))
0.7b	(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
0.7b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3))

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_5875`
14×	`cbrt-prod_binary64_5906`
11×	`add-cube-cbrt_binary64_5910` `add-sqr-sqrt_binary64_5897`
10×	`pow1_binary64_5936`
8×	`cube-prod_binary64_5903` `unpow-prod-down_binary64_5954`
6×	`add-exp-log_binary64_5913` `add-log-exp_binary64_5914`
5×	`add-cbrt-cube_binary64_5911` `log-pow_binary64_5964`
4×	`log-prod_binary64_5961`
3×	`pow-unpow_binary64_5952`
2×	`flip-+_binary64_5849` `distribute-lft-out_binary64_5826` `flip3-+_binary64_5878` `unpow3_binary64_5941` `sqr-pow_binary64_5847` `log-div_binary64_5962` `cube-mult_binary64_5905`
1×	`rem-log-exp_binary64_5916` `pow-pow_binary64_5947` `rem-cube-cbrt_binary64_5898` `rem-cbrt-cube_binary64_5899` `pow-exp_binary64_5943` `sum-log_binary64_5966` `+-commutative_binary64_5805` `pow1/3_binary64_5957` `pow-to-exp_binary64_5944`

Counts

4 → 75

Calls

8 calls:

6.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(+.f64 1 (exp.f64 x))
3.0ms	(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
2.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3))
0.0ms	(+.f64 1 (exp.f64 x))

series220.0ms (4.6%)

Counts

4 → 24

Calls

4 calls:

96.0ms	(pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3)
55.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 x))) 3))
53.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
15.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 478 to 435 computations (9% saved)

simplify84.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4895	1280
1	4895	1280

prune104.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	99	4	103

Error

0.4b

Counts

103 → 4

Compiler

Compiled 1648 to 1067 computations (35.3% saved)

localize10.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0b	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x y)))
0.0b	(+.f64 1 (exp.f64 x))
0.0b	(+.f64 1 (exp.f64 x))
1.5b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
1.5b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_5875`
14×	`log-prod_binary64_5961`
8×	`sqrt-prod_binary64_5891` `add-cube-cbrt_binary64_5910` `add-sqr-sqrt_binary64_5897` `pow1_binary64_5936` `add-log-exp_binary64_5914`
6×	`add-exp-log_binary64_5913` `log-pow_binary64_5964`
4×	`flip-+_binary64_5849` `distribute-lft-out_binary64_5826` `flip3-+_binary64_5878` `sqrt-div_binary64_5892` `add-cbrt-cube_binary64_5911` `log-div_binary64_5962`
2×	`rem-log-exp_binary64_5916` `pow1/2_binary64_5955` `sqrt-pow1_binary64_5893` `sum-log_binary64_5966` `+-commutative_binary64_5805`

Counts

4 → 64

Calls

8 calls:

4.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
4.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
4.0ms	(+.f64 1 (exp.f64 x))
4.0ms	(+.f64 1 (exp.f64 x))
0.0ms	(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (*.f64 x y)))

series216.0ms (4.6%)

Counts

4 → 24

Calls

4 calls:

93.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
92.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
16.0ms	(+.f64 1 (exp.f64 x))
16.0ms	(+.f64 1 (exp.f64 x))

Compiler

Compiled 752 to 656 computations (12.8% saved)

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4938	1150
1	4938	1150

prune104.0ms (2.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	88	4	92

Error

0.4b

Counts

92 → 4

Compiler

Compiled 1965 to 1265 computations (35.6% saved)

localize14.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0b	(+.f64 1 (exp.f64 x))
0.0b	(+.f64 1 (exp.f64 x))
0.0b	(+.f64 1 (exp.f64 x))
0.7b	(log.f64 (+.f64 1 (exp.f64 x)))
1.1b	(cbrt.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)))
1.1b	(cbrt.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)))
1.1b	(cbrt.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_5875`
9×	`cbrt-prod_binary64_5906`
8×	`add-cube-cbrt_binary64_5910` `add-sqr-sqrt_binary64_5897`
6×	`cbrt-div_binary64_5907`
5×	`add-exp-log_binary64_5913` `pow1_binary64_5936`
4×	`add-cbrt-cube_binary64_5911` `add-log-exp_binary64_5914` `log-prod_binary64_5961`
3×	`flip3--_binary64_5879` `pow1/3_binary64_5957` `flip--_binary64_5850`
2×	`log-div_binary64_5962`
1×	`flip-+_binary64_5849` `distribute-lft-out_binary64_5826` `rem-log-exp_binary64_5916` `flip3-+_binary64_5878` `log-pow_binary64_5964`

Counts

4 → 54

Calls

8 calls:

4.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
3.0ms	(cbrt.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)))
0.0ms	(+.f64 1 (exp.f64 x))

series852.0ms (18%)

Counts

4 → 42

Calls

4 calls:

271.0ms	(cbrt.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)))
268.0ms	(cbrt.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)))
255.0ms	(cbrt.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)))
59.0ms	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 3550 to 2738 computations (22.9% saved)

simplify73.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4975	2951
1	4975	2951

prune204.0ms (4.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	96	4	100

Error

0.4b

Counts

100 → 4

Compiler

Compiled 4239 to 2576 computations (39.2% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	222	594
1	222	594

regimes142.0ms (3%)

Compiler: Compiled 1217 to 1033 computations (15.1% saved)

bsearch0.0ms (0%)

regimes58.0ms (1.2%)

Compiler: Compiled 241 to 255 computations (-5.8% saved)

bsearch0.0ms (0%)

regimes43.0ms (0.9%)

Compiler: Compiled 132 to 146 computations (-10.6% saved)

bsearch44.0ms (0.9%)

Steps

Iters	Range		Point
8	-218620723074.98877	-789113965.4004222	-797629278.9357958

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes34.0ms (0.7%)

Compiler: Compiled 70 to 88 computations (-25.7% saved)

bsearch42.0ms (0.9%)

Steps

Iters	Range		Point
8	-218620723074.98877	-789113965.4004222	-797629278.9357958

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes29.0ms (0.6%)

Compiler: Compiled 34 to 54 computations (-58.8% saved)

bsearch38.0ms (0.8%)

Steps

Iters	Range		Point
8	-218620723074.98877	-789113965.4004222	-797629278.9357958

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes49.0ms (1%)

Compiler: Compiled 22 to 42 computations (-90.9% saved)

bsearch20.0ms (0.4%)

Steps

Iters	Range		Point
9	-8.102289608568972e-35	-8.766887762625048e-42	-7.993413570552596e-35

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes31.0ms (0.7%)

Compiler: Compiled 18 to 34 computations (-88.9% saved)

bsearch26.0ms (0.5%)

Steps

Iters	Range		Point
6	5.774270597014433e-207	2.7907240859388827e-206	8.737947054107844e-207
8	-6.576174803416421e-224	-1.4736791775993545e-226	-6.502084621141915e-224

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes17.0ms (0.4%)

Accuracy

Total 0.5b remaining (70.3%)

Threshold costs 0.5b (70.3%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch7.0ms (0.1%)

Compiler: Compiled 99 to 81 computations (18.2% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	86	145
1	86	145

end0.0ms (0%)

sample1.3s (28.4%)

Algorithm

1×

intervals

Results

370.0ms	7384×	body	128	valid
88.0ms	208×	body	1024	valid
57.0ms	252×	body	512	valid
20.0ms	155×	body	256	valid
3.0ms	45×	body	128	invalid
1.0ms	1×	body	2048	valid
0.0ms	9×	body	128	overflowed

Compiler

Compiled 509 to 430 computations (15.5% saved)

Pareto

0.7729305543494093

Details

analyze71.0ms (1.5%)

sample25.0ms (0.5%)

simplify229.0ms (4.8%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

rewrite17.0ms (0.4%)

series242.0ms (5.1%)

simplify107.0ms (2.3%)

prune85.0ms (1.8%)

localize10.0ms (0.2%)

rewrite21.0ms (0.4%)

series220.0ms (4.6%)

simplify84.0ms (1.8%)

prune104.0ms (2.2%)

localize10.0ms (0.2%)

rewrite21.0ms (0.4%)

series216.0ms (4.6%)

simplify61.0ms (1.3%)

prune104.0ms (2.2%)

localize14.0ms (0.3%)

rewrite20.0ms (0.4%)

series852.0ms (18%)

simplify73.0ms (1.5%)

prune204.0ms (4.3%)

simplify11.0ms (0.2%)

regimes142.0ms (3%)

bsearch0.0ms (0%)

regimes58.0ms (1.2%)

bsearch0.0ms (0%)

regimes43.0ms (0.9%)

bsearch44.0ms (0.9%)

regimes34.0ms (0.7%)

bsearch42.0ms (0.9%)

regimes29.0ms (0.6%)

bsearch38.0ms (0.8%)

regimes49.0ms (1%)

bsearch20.0ms (0.4%)

regimes31.0ms (0.7%)

bsearch26.0ms (0.5%)

regimes17.0ms (0.4%)

bsearch7.0ms (0.1%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.3s (28.4%)

Profiling