Details

analyze223.0ms (2.9%)

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)

sample27.0ms (0.3%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 57 to 45 computations (21.1% saved)

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4990	40
1	4990	40

prune5.0ms (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

0.4b

Counts

2 → 2

Compiler

Compiled 80 to 61 computations (23.8% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 3 (.f64 v v))
0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
0.3b	(*.f64 PI.f64 t)
0.5b	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))

rewrite222.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

30×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
18×	`associate-*r/_binary64_1725`
16×	`pow1_binary64_1844`
13×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `add-sqr-sqrt_binary64_1805`
10×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
8×	`flip3--_binary64_1787` `sqrt-div_binary64_1800` `flip--_binary64_1758` `associate-r_binary64_1723` `associate-/r/_binary64_1729`
7×	`pow-prod-down_binary64_1854` `associate-l_binary64_1724`
4×	`add-log-exp_binary64_1822` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-times_binary64_1793`
3×	`-commutative_binary64_1714` `times-frac_binary64_1789` `associate-/l_binary64_1728`
2×	`unswap-sqr_binary64_1751` `associate-/l/_binary64_1730` `associate-*l/_binary64_1726`
1×	`sqrt-prod_binary64_1799` `frac-2neg_binary64_1794` `div-sub_binary64_1788` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/r*_binary64_1727`

Counts

4 → 94

Calls

4 calls:

17.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
10.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
6.0ms	(.f64 3 (.f64 v v))
4.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 3847 to 2282 computations (40.7% saved)

series605.0ms (7.9%)

Error

0.2b

Counts

4 → 22

Calls

4 calls:

365.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
160.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
26.0ms	(.f64 3 (.f64 v v))
23.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 1812 to 1435 computations (20.8% saved)

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5236	3001

prune194.0ms (2.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	109	7	116
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	110	8	118

Error

0.1b

Counts

118 → 8

Compiler

Compiled 4229 to 2615 computations (38.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))
0.2b	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))
0.3b	(/.f64 1 (.f64 t (.f64 PI.f64 (sqrt.f64 2))))
7.1b	(/.f64 (.f64 v v) (.f64 t (*.f64 PI.f64 (sqrt.f64 2))))

rewrite167.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

56×	`add-exp-log_binary64_1821`
44×	`add-cbrt-cube_binary64_1819`
24×	`prod-exp_binary64_1832`
20×	`pow1_binary64_1844`
18×	`cbrt-unprod_binary64_1816`
12×	`div-exp_binary64_1834`
9×	`cbrt-undiv_binary64_1817` `pow-prod-down_binary64_1854`
8×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
6×	`associate-l_binary64_1724`
4×	`add-log-exp_binary64_1822` `times-frac_binary64_1789` `associate-/l*_binary64_1728`
3×	`pow-flip_binary64_1857` `1-exp_binary64_1827` `rec-exp_binary64_1833`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/r_binary64_1727` `associate-r_binary64_1723` `-commutative_binary64_1714`
1×	`inv-pow_binary64_1868`

Counts

4 → 94

Calls

4 calls:

9.0ms	(/.f64 (.f64 v v) (.f64 t (*.f64 PI.f64 (sqrt.f64 2))))
8.0ms	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))
7.0ms	(/.f64 1 (.f64 t (.f64 PI.f64 (sqrt.f64 2))))
6.0ms	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))

Compiler

Compiled 2598 to 1728 computations (33.5% saved)

series329.0ms (4.3%)

Error

0.1b

Counts

4 → 15

Calls

4 calls:

162.0ms	(/.f64 (.f64 v v) (.f64 t (*.f64 PI.f64 (sqrt.f64 2))))
60.0ms	(/.f64 1 (.f64 t (.f64 PI.f64 (sqrt.f64 2))))
46.0ms	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))
46.0ms	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))

Compiler

Compiled 945 to 778 computations (17.7% saved)

simplify87.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4966	1486
1	4966	1486

prune140.0ms (1.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	104	5	109
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	110	7	117

Error

0.0b

Counts

117 → 7

Compiler

Compiled 2765 to 1926 computations (30.3% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 5/2 (/.f64 (.f64 v v) (.f64 t (.f64 PI.f64 (sqrt.f64 2)))))
0.2b	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))
0.3b	(.f64 (/.f64 1 t) (/.f64 1 (.f64 PI.f64 (sqrt.f64 2))))
7.1b	(/.f64 (.f64 v v) (.f64 t (*.f64 PI.f64 (sqrt.f64 2))))

rewrite290.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

142×	`add-exp-log_binary64_1821`
80×	`add-cbrt-cube_binary64_1819`
68×	`prod-exp_binary64_1832`
42×	`div-exp_binary64_1834`
36×	`cbrt-unprod_binary64_1816`
25×	`add-sqr-sqrt_binary64_1805`
19×	`cbrt-undiv_binary64_1817` `associate-l_binary64_1724`
18×	`pow1_binary64_1844`
17×	`*-un-lft-identity_binary64_1783`
16×	`add-cube-cbrt_binary64_1818` `times-frac_binary64_1789`
15×	`1-exp_binary64_1827` `rec-exp_binary64_1833`
13×	`associate-r_binary64_1723`
9×	`pow-prod-down_binary64_1854`
4×	`add-log-exp_binary64_1822` `div-inv_binary64_1780` `pow-flip_binary64_1857` `unswap-sqr_binary64_1751`
3×	`*-commutative_binary64_1714`
2×	`inv-pow_binary64_1868` `associate-*r/_binary64_1725`
1×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/l_binary64_1728` `associate-/r_binary64_1727` `frac-times_binary64_1793` `un-div-inv_binary64_1781` `associate-*l/_binary64_1726`

Counts

4 → 149

Calls

4 calls:

15.0ms	(.f64 (/.f64 1 t) (/.f64 1 (.f64 PI.f64 (sqrt.f64 2))))
12.0ms	(.f64 5/2 (/.f64 (.f64 v v) (.f64 t (.f64 PI.f64 (sqrt.f64 2)))))
9.0ms	(/.f64 (.f64 v v) (.f64 t (*.f64 PI.f64 (sqrt.f64 2))))
6.0ms	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))

Compiler

Compiled 4636 to 3175 computations (31.5% saved)

series446.0ms (5.8%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

178.0ms	(.f64 5/2 (/.f64 (.f64 v v) (.f64 t (.f64 PI.f64 (sqrt.f64 2)))))
156.0ms	(/.f64 (.f64 v v) (.f64 t (*.f64 PI.f64 (sqrt.f64 2))))
53.0ms	(.f64 (/.f64 1 t) (/.f64 1 (.f64 PI.f64 (sqrt.f64 2))))
42.0ms	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))

Compiler

Compiled 1224 to 1042 computations (14.9% saved)

simplify85.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4968	2679
1	4968	2679

prune231.0ms (3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	165	2	167
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	169	5	174

Error

Counts

174 → 5

Compiler

Compiled 4379 to 3088 computations (29.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (/.f64 1 (*.f64 PI.f64 (sqrt.f64 2))) t)
0.1b	(.f64 5/2 (/.f64 (.f64 v v) (.f64 t (.f64 PI.f64 (sqrt.f64 2)))))
0.2b	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))
7.1b	(/.f64 (.f64 v v) (.f64 t (*.f64 PI.f64 (sqrt.f64 2))))

rewrite231.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

78×	`add-exp-log_binary64_1821`
68×	`add-cbrt-cube_binary64_1819`
35×	`times-frac_binary64_1789`
31×	`prod-exp_binary64_1832`
29×	`cbrt-unprod_binary64_1816`
25×	`add-sqr-sqrt_binary64_1805`
23×	`div-exp_binary64_1834` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
17×	`cbrt-undiv_binary64_1817`
11×	`pow1_binary64_1844`
8×	`associate-/l*_binary64_1728`
7×	`div-inv_binary64_1780`
6×	`associate-l_binary64_1724` `associate-r_binary64_1723`
4×	`add-log-exp_binary64_1822` `associate-/r*_binary64_1727` `pow-prod-down_binary64_1854`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `*-commutative_binary64_1714` `1-exp_binary64_1827` `rec-exp_binary64_1833`
1×	`unswap-sqr_binary64_1751` `associate-*r/_binary64_1725` `associate-/l/_binary64_1730`

Counts

4 → 128

Calls

4 calls:

11.0ms	(.f64 5/2 (/.f64 (.f64 v v) (.f64 t (.f64 PI.f64 (sqrt.f64 2)))))
9.0ms	(/.f64 (.f64 v v) (.f64 t (*.f64 PI.f64 (sqrt.f64 2))))
8.0ms	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))
8.0ms	(/.f64 (/.f64 1 (*.f64 PI.f64 (sqrt.f64 2))) t)

Compiler

Compiled 3831 to 2519 computations (34.2% saved)

series447.0ms (5.9%)

Error

Counts

4 → 18

Calls

4 calls:

171.0ms	(.f64 5/2 (/.f64 (.f64 v v) (.f64 t (.f64 PI.f64 (sqrt.f64 2)))))
148.0ms	(/.f64 (.f64 v v) (.f64 t (*.f64 PI.f64 (sqrt.f64 2))))
63.0ms	(/.f64 (/.f64 1 (*.f64 PI.f64 (sqrt.f64 2))) t)
47.0ms	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))

Compiler

Compiled 1134 to 952 computations (16% saved)

simplify82.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5156	2616

prune185.0ms (2.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	146	5	151

Error

Counts

151 → 5

Compiler

Compiled 3683 to 2515 computations (31.7% saved)

regimes872.0ms (11.4%)

Accuracy

Total 0.4b remaining (99.6%)

Threshold costs 0.4b (99.6%)

Compiler

Compiled 14348 to 10739 computations (25.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	34
1	62	34

end0.0ms (0%)

sample2.6s (34%)

Algorithm

1×

intervals

Results

535.0ms	8000×	body	128	valid
1.0ms	11×	body	128	nan

Compiler

Compiled 2643 to 1997 computations (24.4% saved)

Details

analyze223.0ms (2.9%)

sample27.0ms (0.3%)

simplify49.0ms (0.6%)

prune5.0ms (0.1%)

localize19.0ms (0.3%)

rewrite222.0ms (2.9%)

series605.0ms (7.9%)

simplify59.0ms (0.8%)

prune194.0ms (2.5%)

localize11.0ms (0.1%)

rewrite167.0ms (2.2%)

series329.0ms (4.3%)

simplify87.0ms (1.1%)

prune140.0ms (1.8%)

localize17.0ms (0.2%)

rewrite290.0ms (3.8%)

series446.0ms (5.8%)

simplify85.0ms (1.1%)

prune231.0ms (3%)

localize12.0ms (0.2%)

rewrite231.0ms (3%)

series447.0ms (5.9%)

simplify82.0ms (1.1%)

prune185.0ms (2.4%)

regimes872.0ms (11.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.6s (34%)

Profiling