Details

analyze216.0ms (2.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4978	80
1	4978	80
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%	50%	50%	4
0%	50%	50%	5
12.5%	37.5%	50%	6
18.7%	31.2%	50%	7
28.1%	21.9%	50%	8
32.8%	17.2%	50%	9
38.2%	11.7%	50%	10
41%	9%	50%	11
43.9%	6%	50%	12
45.4%	4.6%	50%	13
46.9%	3.1%	50%	14

Compiler

Compiled 29 to 22 computations (24.1% saved)

sample25.0ms (0.3%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 57 to 45 computations (21.1% saved)

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4990	40
1	4990	40

prune8.0ms (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

0.3b

Counts

2 → 2

Compiler

Compiled 80 to 61 computations (23.8% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 5 (.f64 v v))
0.2b	(*.f64 PI.f64 t)
0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
0.4b	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))

rewrite51.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
20×	`pow1_binary64_2185`
16×	`prod-exp_binary64_2173` `associate-*r/_binary64_2066` `cbrt-unprod_binary64_2157`
14×	`add-sqr-sqrt_binary64_2146`
12×	`sqrt-div_binary64_2141` `associate-l_binary64_2065`
11×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
10×	`pow-prod-down_binary64_2195`
8×	`associate-/r/_binary64_2070` `distribute-rgt-in_binary64_2074` `frac-times_binary64_2134` `distribute-lft-in_binary64_2073`
7×	`flip--_binary64_2099` `flip3--_binary64_2128`
6×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
5×	`associate-r_binary64_2064`
4×	`cbrt-undiv_binary64_2158` `cancel-sign-sub-inv_binary64_2090` `add-log-exp_binary64_2163` `associate-*l/_binary64_2067` `sub-neg_binary64_2117` `div-exp_binary64_2175`
3×	`associate-/l_binary64_2069` `-commutative_binary64_2055` `sqrt-prod_binary64_2140` `times-frac_binary64_2130`
2×	`unswap-sqr_binary64_2092` `associate-/l/_binary64_2071`
1×	`clear-num_binary64_2123` `associate-/r*_binary64_2068` `div-sub_binary64_2129` `div-inv_binary64_2121` `frac-2neg_binary64_2135`

Counts

4 → 113

Calls

4 calls:

16.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
13.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))
5.0ms	(.f64 5 (.f64 v v))
4.0ms	(*.f64 PI.f64 t)

series303.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

146.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
123.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))
20.0ms	(.f64 5 (.f64 v v))
14.0ms	(*.f64 PI.f64 t)

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5345	3774

prune221.0ms (2.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	119	6	125
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	121	6	127

Error

0.0b

Counts

127 → 6

Compiler

Compiled 4542 to 2824 computations (37.8% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 v v) 5)
0.2b	(*.f64 PI.f64 t)
0.5b	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
1.0b	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))

rewrite52.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`times-frac_binary64_2130`
51×	`add-sqr-sqrt_binary64_2146`
48×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
34×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
30×	`sqrt-prod_binary64_2140`
27×	`associate-/l*_binary64_2069`
11×	`pow1_binary64_2185`
10×	`cbrt-undiv_binary64_2158` `prod-exp_binary64_2173` `div-exp_binary64_2175` `cbrt-unprod_binary64_2157`
8×	`associate-/r/_binary64_2070`
7×	`associate-/r*_binary64_2068`
6×	`sqrt-div_binary64_2141` `associate-r_binary64_2064`
4×	`pow-prod-down_binary64_2195` `add-log-exp_binary64_2163` `associate-l_binary64_2065` `div-inv_binary64_2121`
3×	`flip3-+_binary64_2127` `div-sub_binary64_2129` `flip-+_binary64_2098` `associate-/l/_binary64_2071`
2×	`flip--_binary64_2099` `clear-num_binary64_2123` `flip3--_binary64_2128` `unswap-sqr_binary64_2092` `-commutative_binary64_2055` `associate-r/_binary64_2066` `frac-2neg_binary64_2135`

Counts

4 → 156

Calls

4 calls:

16.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
8.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))
6.0ms	(.f64 (.f64 v v) 5)
4.0ms	(*.f64 PI.f64 t)

series231.0ms (3%)

Counts

4 → 12

Calls

4 calls:

142.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
59.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))
17.0ms	(.f64 (.f64 v v) 5)
13.0ms	(*.f64 PI.f64 t)

simplify117.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4945	6117
1	4945	6117

prune318.0ms (4.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	167	1	168
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	169	5	174

Error

0.0b

Counts

174 → 5

Compiler

Compiled 6458 to 4132 computations (36% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 PI.f64 t)
0.3b	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
0.4b	(.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
1.0b	(/.f64 1 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))

rewrite65.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

79×	`add-exp-log_binary64_2162`
52×	`add-sqr-sqrt_binary64_2146`
49×	`add-cbrt-cube_binary64_2160`
46×	`times-frac_binary64_2130`
40×	`*-un-lft-identity_binary64_2124`
38×	`add-cube-cbrt_binary64_2159`
32×	`prod-exp_binary64_2173`
27×	`associate-l_binary64_2065`
25×	`div-exp_binary64_2175`
23×	`sqrt-prod_binary64_2140`
18×	`cbrt-unprod_binary64_2157`
14×	`cbrt-undiv_binary64_2158`
12×	`associate-r_binary64_2064`
10×	`pow1_binary64_2185`
8×	`associate-/r/_binary64_2070`
7×	`associate-/r*_binary64_2068`
6×	`unswap-sqr_binary64_2092` `associate-/l*_binary64_2069`
5×	`associate-*r/_binary64_2066` `1-exp_binary64_2168` `rec-exp_binary64_2174`
4×	`sqrt-div_binary64_2141` `add-log-exp_binary64_2163` `div-inv_binary64_2121`
3×	`flip--_binary64_2099` `flip3--_binary64_2128` `pow-flip_binary64_2198`
2×	`pow-prod-down_binary64_2195` `clear-num_binary64_2123` `*-commutative_binary64_2055` `flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-/l/_binary64_2071` `frac-2neg_binary64_2135`
1×	`sqrt-pow1_binary64_2142` `associate-*l/_binary64_2067` `pow1/2_binary64_2204` `frac-times_binary64_2134` `div-sub_binary64_2129` `inv-pow_binary64_2209`

Counts

4 → 167

Calls

4 calls:

22.0ms	(.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
10.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
6.0ms	(/.f64 1 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))
4.0ms	(*.f64 PI.f64 t)

series261.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

137.0ms	(.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
73.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
38.0ms	(/.f64 1 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))
13.0ms	(*.f64 PI.f64 t)

simplify120.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4979	5762
1	4979	5762

prune328.0ms (4.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	179	5	184

Error

0.0b

Counts

184 → 5

Compiler

Compiled 6597 to 4244 computations (35.7% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 PI.f64 t)
0.3b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v))))) (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))))) (.f64 (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))) (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))
0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v))))) (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))))) (.f64 (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))) (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))))))
0.3b	(.f64 (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))) (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))))

rewrite177.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

330×	`cbrt-div_binary64_2156` `sqrt-div_binary64_2141`
276×	`frac-times_binary64_2134`
204×	`associate-*r/_binary64_2066`
165×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
90×	`associate-*l/_binary64_2067`
89×	`add-exp-log_binary64_2162`
80×	`associate-/r/_binary64_2070`
58×	`flip--_binary64_2099` `flip3--_binary64_2128` `add-cbrt-cube_binary64_2160`
55×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
47×	`pow1_binary64_2185`
31×	`pow-prod-down_binary64_2195`
13×	`add-sqr-sqrt_binary64_2146` `associate-r_binary64_2064`
11×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
9×	`cbrt-undiv_binary64_2158` `div-exp_binary64_2175`
6×	`cbrt-prod_binary64_2155`
5×	`associate-l_binary64_2065`
4×	`add-log-exp_binary64_2163`
3×	`associate-/l_binary64_2069` `-commutative_binary64_2055` `sqrt-prod_binary64_2140` `times-frac_binary64_2130`
2×	`associate-/l/_binary64_2071`
1×	`clear-num_binary64_2123` `unswap-sqr_binary64_2092` `associate-/r*_binary64_2068` `div-sub_binary64_2129` `div-inv_binary64_2121` `frac-2neg_binary64_2135`

Counts

4 → 285

Calls

4 calls:

36.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v))))) (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))))) (.f64 (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))) (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))))))
36.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v))))) (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))))) (.f64 (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))) (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))
14.0ms	(.f64 (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))) (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))))
4.0ms	(*.f64 PI.f64 t)

series486.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

201.0ms	(.f64 (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))) (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))))
150.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v))))) (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))))) (.f64 (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))) (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6))))))))
122.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v))))) (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))))) (.f64 (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))) (cbrt.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 v -6)))))))
13.0ms	(*.f64 PI.f64 t)

simplify224.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

297 → 297

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5047	19708

prune1.6s (21%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	296	1	297
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	296	6	302

Error

Counts

302 → 6

Compiler

Compiled 20166 to 14584 computations (27.7% saved)

regimes736.0ms (9.5%)

Accuracy

Total 0.4b remaining (86.6%)

Threshold costs 0.4b (86.6%)

Compiler

Compiled 9237 to 6989 computations (24.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	40
1	62	40

end0.0ms (0%)

sample2.0s (25.6%)

Algorithm

1×

intervals

Results

550.0ms	8000×	body	128	valid
1.0ms	9×	body	128	nan
0.0ms	2×	body	128	invalid

Compiler

Compiled 1888 to 1429 computations (24.3% saved)

Details

analyze216.0ms (2.8%)

sample25.0ms (0.3%)

simplify50.0ms (0.6%)

prune8.0ms (0.1%)

localize16.0ms (0.2%)

rewrite51.0ms (0.7%)

series303.0ms (3.9%)

simplify69.0ms (0.9%)

prune221.0ms (2.8%)

localize19.0ms (0.2%)

rewrite52.0ms (0.7%)

series231.0ms (3%)

simplify117.0ms (1.5%)

prune318.0ms (4.1%)

localize17.0ms (0.2%)

rewrite65.0ms (0.8%)

series261.0ms (3.4%)

simplify120.0ms (1.5%)

prune328.0ms (4.2%)

localize28.0ms (0.4%)

rewrite177.0ms (2.3%)

series486.0ms (6.3%)

simplify224.0ms (2.9%)

prune1.6s (21%)

regimes736.0ms (9.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.0s (25.6%)

Profiling