Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	74.9%	25.1%	0
0%	74.9%	25.1%	1
37.5%	37.5%	25.1%	2
37.5%	18.7%	43.8%	3
46.8%	9.4%	43.8%	4
51.5%	4.7%	43.8%	5
51.5%	2.3%	46.1%	6
52.7%	1.2%	46.1%	7
53.3%	0.6%	46.1%	8
53.3%	0.3%	46.4%	9
53.4%	0.1%	46.4%	10
53.5%	0.1%	46.4%	11
53.5%	0%	46.5%	12
53.5%	0%	46.5%	13
53.5%	0%	46.5%	14

Compiler

Compiled 70 to 33 computations (52.9% saved)

sample36.0ms (0.8%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
3.0ms	256×	pre	128	true

Compiler

Compiled 137 to 65 computations (52.6% saved)

simplify258.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4911	41
1	4911	41

prune10.0ms (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

Merged error: 0.1b

Counts

2 → 2

Compiler

Compiled 212 to 128 computations (39.6% saved)

localize28.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
0.1b	(.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
0.1b	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
1.0b	(sqrt.f64 PI.f64)

rewrite63.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

106×	`pow1_binary64_2204`
43×	`add-exp-log_binary64_2181` `add-cbrt-cube_binary64_2179`
42×	`pow-plus_binary64_2206` `pow-prod-up_binary64_2213`
24×	`cbrt-unprod_binary64_2176` `prod-exp_binary64_2192`
18×	`pow-prod-down_binary64_2214`
15×	`add-sqr-sqrt_binary64_2165` `associate-l_binary64_2084`
14×	`add-cube-cbrt_binary64_2178` `*-un-lft-identity_binary64_2143`
9×	`times-frac_binary64_2149`
8×	`pow2_binary64_2224` `pow-sqr_binary64_2116`
7×	`associate-r_binary64_2083`
4×	`add-log-exp_binary64_2182` `pow3_binary64_2226`
3×	`cbrt-undiv_binary64_2177` `sqrt-prod_binary64_2159` `*-commutative_binary64_2074` `div-exp_binary64_2194`
1×	`rem-sqrt-square_binary64_2156` `pow1/2_binary64_2223` `div-inv_binary64_2140` `associate-*l/_binary64_2086` `sqrt-pow1_binary64_2161`

Counts

4 → 129

Calls

4 calls:

14.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
11.0ms	(.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
10.0ms	(.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
2.0ms	(sqrt.f64 PI.f64)

series171.0ms (3.8%)

Counts

4 → 10

Calls

4 calls:

67.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
52.0ms	(.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
51.0ms	(.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
0.0ms	(sqrt.f64 PI.f64)

simplify78.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5233	902

prune366.0ms (8.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	136	3	139
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	138	3	141

Merged error: 0.0b

Counts

141 → 3

Compiler

Compiled 10239 to 4353 computations (57.5% saved)

localize31.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (pow.f64 (fabs.f64 x) 4) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
0.1b	(.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
0.1b	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
1.0b	(sqrt.f64 PI.f64)

rewrite80.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

132×	`add-exp-log_binary64_2181`
90×	`prod-exp_binary64_2192`
69×	`pow1_binary64_2204`
66×	`add-cbrt-cube_binary64_2179`
38×	`cbrt-unprod_binary64_2176`
27×	`associate-l_binary64_2084`
21×	`add-sqr-sqrt_binary64_2165` `pow-plus_binary64_2206` `pow-prod-up_binary64_2213`
20×	`add-cube-cbrt_binary64_2178` `*-un-lft-identity_binary64_2143`
18×	`pow-prod-down_binary64_2214` `times-frac_binary64_2149`
15×	`div-exp_binary64_2194`
7×	`cbrt-undiv_binary64_2177`
6×	`1-exp_binary64_2187` `rec-exp_binary64_2193`
5×	`associate-r_binary64_2083`
4×	`add-log-exp_binary64_2182` `pow2_binary64_2224` `pow-sqr_binary64_2116` `pow-to-exp_binary64_2212` `pow-exp_binary64_2211`
3×	`sqrt-prod_binary64_2159` `*-commutative_binary64_2074`
2×	`div-inv_binary64_2140` `pow3_binary64_2226` `associate-*l/_binary64_2086`
1×	`rem-sqrt-square_binary64_2156` `pow1/2_binary64_2223` `sqrt-pow1_binary64_2161`

Counts

4 → 148

Calls

4 calls:

18.0ms	(.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (pow.f64 (fabs.f64 x) 4) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
13.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
10.0ms	(.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
2.0ms	(sqrt.f64 PI.f64)

series242.0ms (5.4%)

Counts

4 → 10

Calls

4 calls:

126.0ms	(.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (pow.f64 (fabs.f64 x) 4) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
67.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
48.0ms	(.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
0.0ms	(sqrt.f64 PI.f64)

simplify124.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4872	1429
1	4872	1429

prune473.0ms (10.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	159	2	161

Merged error: 0.0b

Counts

161 → 2

Compiler

Compiled 10442 to 5438 computations (47.9% saved)

localize27.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
0.1b	(.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
0.1b	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
1.0b	(sqrt.f64 PI.f64)

rewrite51.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

79×	`pow1_binary64_2204`
42×	`add-cbrt-cube_binary64_2179`
39×	`add-exp-log_binary64_2181`
27×	`pow-plus_binary64_2206` `pow-prod-up_binary64_2213`
21×	`cbrt-unprod_binary64_2176` `prod-exp_binary64_2192`
16×	`add-sqr-sqrt_binary64_2165`
15×	`associate-l_binary64_2084` `pow-prod-down_binary64_2214`
14×	`add-cube-cbrt_binary64_2178` `*-un-lft-identity_binary64_2143`
9×	`times-frac_binary64_2149`
7×	`associate-r_binary64_2083`
6×	`pow2_binary64_2224` `pow-sqr_binary64_2116`
4×	`add-log-exp_binary64_2182`
3×	`cbrt-undiv_binary64_2177` `pow3_binary64_2226` `sqrt-prod_binary64_2159` `*-commutative_binary64_2074` `div-exp_binary64_2194`
1×	`rem-sqrt-square_binary64_2156` `pow1/2_binary64_2223` `rem-3cbrt-lft_binary64_2168` `div-inv_binary64_2140` `associate-*l/_binary64_2086` `unswap-sqr_binary64_2111` `sqrt-pow1_binary64_2161`

Counts

4 → 119

Calls

4 calls:

13.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
10.0ms	(.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
7.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
2.0ms	(sqrt.f64 PI.f64)

series167.0ms (3.7%)

Counts

4 → 10

Calls

4 calls:

66.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
52.0ms	(.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
48.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
0.0ms	(sqrt.f64 PI.f64)

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5028	911

prune312.0ms (7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	129	2	131

Merged error: 0.0b

Counts

131 → 2

Compiler

Compiled 6877 to 3841 computations (44.1% saved)

localize24.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
0.1b	(.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
0.1b	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
1.0b	(sqrt.f64 PI.f64)

rewrite79.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

103×	`add-exp-log_binary64_2181`
71×	`pow1_binary64_2204`
69×	`prod-exp_binary64_2192`
60×	`add-cbrt-cube_binary64_2179`
37×	`cbrt-unprod_binary64_2176`
25×	`add-sqr-sqrt_binary64_2165`
21×	`pow-plus_binary64_2206` `pow-prod-up_binary64_2213` `pow-prod-down_binary64_2214`
17×	`associate-l_binary64_2084` `add-cube-cbrt_binary64_2178` `*-un-lft-identity_binary64_2143`
16×	`associate-r_binary64_2083`
10×	`div-exp_binary64_2194`
9×	`times-frac_binary64_2149`
5×	`cbrt-undiv_binary64_2177` `1-exp_binary64_2187` `rec-exp_binary64_2193`
4×	`add-log-exp_binary64_2182` `pow2_binary64_2224` `unpow-prod-down_binary64_2222` `pow-sqr_binary64_2116` `cube-prod_binary64_2171` `unswap-sqr_binary64_2111`
3×	`sqrt-prod_binary64_2159` `*-commutative_binary64_2074`
2×	`pow3_binary64_2226` `sqr-pow_binary64_2115`
1×	`rem-sqrt-square_binary64_2156` `pow1/2_binary64_2223` `cube-mult_binary64_2173` `pow-to-exp_binary64_2212` `div-inv_binary64_2140` `associate-*l/_binary64_2086` `unpow3_binary64_2209` `sqrt-pow1_binary64_2161` `pow-exp_binary64_2211`

Counts

4 → 141

Calls

4 calls:

35.0ms	(.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
11.0ms	(.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
7.0ms	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
1.0ms	(sqrt.f64 PI.f64)

series214.0ms (4.8%)

Counts

4 → 10

Calls

4 calls:

98.0ms	(.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
67.0ms	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
48.0ms	(.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))
0.0ms	(sqrt.f64 PI.f64)

simplify64.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4979	1349
1	4979	1349

prune358.0ms (8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	151	2	153

Merged error: 0.0b

Counts

153 → 2

Compiler

Compiled 6823 to 4386 computations (35.7% saved)

regimes25.0ms (0.6%)

Compiler: Compiled 148 to 112 computations (24.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	67
1	41	67

end0.0ms (0%)

sample1.1s (25.1%)

Algorithm

1×

intervals

Results

752.0ms	8000×	body	128	valid
105.0ms	8000×	pre	128	true

Compiler

Compiled 182 to 114 computations (37.4% saved)

Details

analyze6.0ms (0.1%)

sample36.0ms (0.8%)

simplify258.0ms (5.8%)

prune10.0ms (0.2%)

localize28.0ms (0.6%)

rewrite63.0ms (1.4%)

series171.0ms (3.8%)

simplify78.0ms (1.8%)

prune366.0ms (8.2%)

localize31.0ms (0.7%)

rewrite80.0ms (1.8%)

series242.0ms (5.4%)

simplify124.0ms (2.8%)

prune473.0ms (10.6%)

localize27.0ms (0.6%)

rewrite51.0ms (1.1%)

series167.0ms (3.7%)

simplify62.0ms (1.4%)

prune312.0ms (7%)

localize24.0ms (0.5%)

rewrite79.0ms (1.8%)

series214.0ms (4.8%)

simplify64.0ms (1.4%)

prune358.0ms (8%)

regimes25.0ms (0.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (25.1%)

Profiling