Details

analyze151.0ms (6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	372	24
1	372	24
0	2	2
1	2	2

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%	74.9%	25.1%	4
18.7%	56.2%	25.1%	5
28.1%	34.3%	37.6%	6
34.3%	28.1%	37.6%	7
39%	17.2%	43.8%	8
41%	13.7%	45.4%	9
43.1%	8.4%	48.5%	10
44%	6.7%	49.3%	11
45%	4.1%	50.8%	12
45.4%	3.3%	51.2%	13
45.9%	2.1%	52%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample13.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid
0.0ms	2×	body	128	nan

Compiler

Compiled 17 to 17 computations (0% saved)

simplify14.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	207	12
1	207	12

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

0.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(*.f64 y (sqrt.f64 x))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_2146`
6×	`associate-r_binary64_2064`
4×	`sqrt-prod_binary64_2140` `add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
3×	`pow1_binary64_2185` `associate-l_binary64_2065` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
2×	`unswap-sqr_binary64_2092`
1×	`pow-prod-down_binary64_2195` `*-commutative_binary64_2055` `add-log-exp_binary64_2163` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`

Counts

1 → 22

Calls

1 calls:

5.0ms

(*.f64 y (sqrt.f64 x))

series34.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

34.0ms

(*.f64 y (sqrt.f64 x))

simplify65.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4969	280
1	4969	280

prune25.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	20	5	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	6	26

Error

0.0b

Counts

26 → 6

Compiler

Compiled 415 to 206 computations (50.4% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 x))
0.1b	(sqrt.f64 (sqrt.f64 x))
0.2b	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

rewrite31.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`sqrt-prod_binary64_2140`
25×	`add-sqr-sqrt_binary64_2146`
18×	`associate-r_binary64_2064`
15×	`pow1_binary64_2185` `add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
11×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
8×	`sqrt-pow1_binary64_2142`
4×	`pow-prod-down_binary64_2195` `rem-sqrt-square_binary64_2137` `add-log-exp_binary64_2163` `associate-l_binary64_2065` `prod-exp_binary64_2173` `pow1/2_binary64_2204` `cbrt-unprod_binary64_2157`
3×	`unswap-sqr_binary64_2092`
2×	`*-commutative_binary64_2055`

Counts

4 → 88

Calls

4 calls:

11.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
7.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
4.0ms	(sqrt.f64 (sqrt.f64 x))
2.0ms	(sqrt.f64 (sqrt.f64 x))

series186.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

59.0ms	(sqrt.f64 (sqrt.f64 x))
54.0ms	(sqrt.f64 (sqrt.f64 x))
42.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
31.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

simplify80.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4935	1038
1	4935	1038

prune89.0ms (3.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	95	5	100
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	98	8	106

Error

Counts

106 → 8

Compiler

Compiled 1781 to 700 computations (60.7% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 x))
0.2b	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (pow.f64 x 1/4))

rewrite24.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`sqrt-prod_binary64_2140`
19×	`add-sqr-sqrt_binary64_2146`
18×	`add-exp-log_binary64_2162`
16×	`associate-r_binary64_2064`
11×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
10×	`prod-exp_binary64_2173` `add-cbrt-cube_binary64_2160`
7×	`pow1_binary64_2185`
4×	`sqrt-pow1_binary64_2142` `associate-l_binary64_2065` `cbrt-unprod_binary64_2157`
3×	`unswap-sqr_binary64_2092` `unpow-prod-down_binary64_2203` `add-log-exp_binary64_2163`
2×	`pow-exp_binary64_2192` `*-commutative_binary64_2055` `rem-sqrt-square_binary64_2137` `pow1/2_binary64_2204` `pow-to-exp_binary64_2193`
1×	`pow-prod-down_binary64_2195` `sqr-pow_binary64_2096`

Counts

3 → 69

Calls

3 calls:

10.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (pow.f64 x 1/4))
7.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))
2.0ms	(sqrt.f64 (sqrt.f64 x))

series164.0ms (6.5%)

Counts

3 → 9

Calls

3 calls:

60.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (pow.f64 x 1/4))
59.0ms	(sqrt.f64 (sqrt.f64 x))
45.0ms	(*.f64 y (sqrt.f64 (sqrt.f64 x)))

simplify44.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4980	1024
1	4980	1024

prune75.0ms (3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	78	8	86

Error

Counts

86 → 8

Compiler

Compiled 1500 to 803 computations (46.5% saved)

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (sqrt.f64 (cbrt.f64 x)))))
0.4b	(*.f64 (sqrt.f64 (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (sqrt.f64 (cbrt.f64 x))))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite37.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`sqrt-prod_binary64_2140`
28×	`add-sqr-sqrt_binary64_2146`
20×	`pow1_binary64_2185`
18×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
13×	`associate-r_binary64_2064`
12×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
11×	`pow-prod-down_binary64_2195` `cbrt-prod_binary64_2155`
9×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
8×	`unswap-sqr_binary64_2092`
7×	`associate-l_binary64_2065`
4×	`add-log-exp_binary64_2163`
2×	`sqrt-pow1_binary64_2142` `*-commutative_binary64_2055` `pow1/3_binary64_2206` `pow1/2_binary64_2204`
1×	`sqrt-unprod_binary64_2144`

Counts

4 → 84

Calls

4 calls:

16.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (sqrt.f64 (cbrt.f64 x)))))
10.0ms	(*.f64 (sqrt.f64 (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (sqrt.f64 (cbrt.f64 x))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series476.0ms (18.8%)

Counts

4 → 12

Calls

4 calls:

164.0ms	(*.f64 (sqrt.f64 (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (sqrt.f64 (cbrt.f64 x))))
146.0ms	(.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (sqrt.f64 (cbrt.f64 x)))))
85.0ms	(cbrt.f64 x)
80.0ms	(cbrt.f64 x)

simplify74.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4892	1821
1	4892	1821

prune92.0ms (3.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	96	8	104

Error

Counts

104 → 8

Compiler

Compiled 2330 to 679 computations (70.9% saved)

regimes104.0ms (4.1%)

Accuracy

Total 0.1b remaining (91.3%)

Threshold costs 0.1b (91.3%)

Compiler

Compiled 926 to 646 computations (30.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	12
1	20	12

end0.0ms (0%)

sample700.0ms (27.7%)

Algorithm

1×

intervals

Results

238.0ms	7995×	body	128	valid
3.0ms	126×	body	128	nan
2.0ms	86×	body	128	invalid
1.0ms	4×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 319 to 225 computations (29.5% saved)

Details

analyze151.0ms (6%)

sample13.0ms (0.5%)

simplify14.0ms (0.6%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite7.0ms (0.3%)

series34.0ms (1.3%)

simplify65.0ms (2.6%)

prune25.0ms (1%)

localize8.0ms (0.3%)

rewrite31.0ms (1.2%)

series186.0ms (7.3%)

simplify80.0ms (3.1%)

prune89.0ms (3.5%)

localize11.0ms (0.4%)

rewrite24.0ms (1%)

series164.0ms (6.5%)

simplify44.0ms (1.7%)

prune75.0ms (3%)

localize15.0ms (0.6%)

rewrite37.0ms (1.5%)

series476.0ms (18.8%)

simplify74.0ms (2.9%)

prune92.0ms (3.6%)

regimes104.0ms (4.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample700.0ms (27.7%)

Profiling