Details

analyze284.0ms (2.1%)

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 (0.2%)

Algorithm

1×

intervals

Results

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

Compiler

Compiled 57 to 45 computations (21.1% saved)

simplify50.0ms (0.4%)

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%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.4b

Counts

2 → 1

Compiler

Compiled 54 to 41 computations (24.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite306.0ms (2.3%)

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×	`associate-/l/_binary64_1730` `associate-*l/_binary64_1726` `unswap-sqr_binary64_1751`
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:

21.0ms	(/.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))))
11.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
6.0ms	(.f64 5 (.f64 v v))
4.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 3607 to 2138 computations (40.7% saved)

series1.0s (7.4%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

624.0ms	(/.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))))
270.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
40.0ms	(.f64 5 (.f64 v v))
31.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 1717 to 1379 computations (19.7% saved)

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4963	3150
1	4963	3150

prune232.0ms (1.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	108	10	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	10	119

Error

0.1b

Counts

119 → 10

Compiler

Compiled 3464 to 2173 computations (37.3% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite351.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

39×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
19×	`pow1_binary64_1844` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
11×	`add-sqr-sqrt_binary64_1805`
9×	`add-cube-cbrt_binary64_1818` `-un-lft-identity_binary64_1783` `pow-prod-down_binary64_1854` `associate-l*_binary64_1724`
8×	`associate-*r/_binary64_1725` `associate-/r/_binary64_1729`
7×	`flip3--_binary64_1787` `flip--_binary64_1758`
6×	`sqrt-div_binary64_1800`
5×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817`
4×	`add-log-exp_binary64_1822` `frac-times_binary64_1793`
3×	`times-frac_binary64_1789` `associate-/l_binary64_1728` `associate-r_binary64_1723` `-commutative_binary64_1714`
2×	`associate-/l/_binary64_1730` `associate-*l/_binary64_1726` `unswap-sqr_binary64_1751`
1×	`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:

20.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v))))
6.0ms	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))
6.0ms	(.f64 3 (.f64 v v))
6.0ms	(.f64 5 (.f64 v v))

Compiler

Compiled 3583 to 2268 computations (36.7% saved)

series820.0ms (6.1%)

Error

0.1b

Counts

4 → 18

Calls

4 calls:

639.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v))))
74.0ms	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))
43.0ms	(.f64 5 (.f64 v v))
39.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 1232 to 1022 computations (17% saved)

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5066	2830

prune265.0ms (2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	108	4	112
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	112	10	122

Error

0.1b

Counts

122 → 10

Compiler

Compiled 3121 to 2063 computations (33.9% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite389.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

48×	`associate-*r/_binary64_1725`
34×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
20×	`pow1_binary64_1844`
16×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
14×	`sqrt-div_binary64_1800`
13×	`add-sqr-sqrt_binary64_1805`
10×	`pow-prod-down_binary64_1854` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
8×	`associate-r_binary64_1723` `frac-times_binary64_1793` `associate-/r/_binary64_1729`
7×	`flip3--_binary64_1787` `flip--_binary64_1758` `associate-l_binary64_1724` `flip3-+_binary64_1786` `flip-+_binary64_1757`
4×	`add-log-exp_binary64_1822` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `associate-*l/_binary64_1726` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817`
3×	`-commutative_binary64_1714` `times-frac_binary64_1789` `associate-/l_binary64_1728`
2×	`unswap-sqr_binary64_1751` `associate-/l/_binary64_1730`
1×	`sqrt-prod_binary64_1799` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/r*_binary64_1727`

Counts

4 → 108

Calls

4 calls:

18.0ms	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 PI.f64 (.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (+.f64 -1 (*.f64 v v)))))
16.0ms	(.f64 PI.f64 (.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (+.f64 -1 (*.f64 v v))))
9.0ms	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
6.0ms	(.f64 (.f64 v v) 5)

Compiler

Compiled 4424 to 2747 computations (37.9% saved)

series1.3s (9.8%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

623.0ms	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 PI.f64 (.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (+.f64 -1 (*.f64 v v)))))
376.0ms	(.f64 PI.f64 (.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (+.f64 -1 (*.f64 v v))))
222.0ms	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
40.0ms	(.f64 (.f64 v v) 5)

Compiler

Compiled 2215 to 1814 computations (18.1% saved)

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5175	4238

prune293.0ms (2.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	139	9	148

Error

0.0b

Counts

148 → 9

Compiler

Compiled 3977 to 2588 computations (34.9% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 v v) 5)
0.3b	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))
0.4b	(.f64 (/.f64 1 PI.f64) (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))))
0.5b	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))

rewrite548.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

80×	`add-exp-log_binary64_1821`
52×	`add-cbrt-cube_binary64_1819`
35×	`prod-exp_binary64_1832`
33×	`associate-*r/_binary64_1725`
28×	`add-sqr-sqrt_binary64_1805`
23×	`div-exp_binary64_1834`
22×	`associate-r_binary64_1723`
21×	`cbrt-unprod_binary64_1816`
19×	`*-un-lft-identity_binary64_1783`
18×	`add-cube-cbrt_binary64_1818`
17×	`associate-l_binary64_1724` `times-frac_binary64_1789`
16×	`associate-/r/_binary64_1729`
14×	`sqrt-div_binary64_1800`
13×	`pow1_binary64_1844` `cbrt-undiv_binary64_1817`
9×	`frac-times_binary64_1793`
7×	`flip3--_binary64_1787` `flip--_binary64_1758` `flip3-+_binary64_1786` `flip-+_binary64_1757`
5×	`pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751` `associate-*l/_binary64_1726`
4×	`add-log-exp_binary64_1822` `1-exp_binary64_1827` `rec-exp_binary64_1833`
3×	`-commutative_binary64_1714` `div-inv_binary64_1780` `associate-/l_binary64_1728`
2×	`associate-/l/_binary64_1730`
1×	`sqrt-prod_binary64_1799` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/r*_binary64_1727`

Counts

4 → 140

Calls

4 calls:

26.0ms	(.f64 (/.f64 1 PI.f64) (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))))
17.0ms	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))
9.0ms	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
6.0ms	(.f64 (.f64 v v) 5)

Compiler

Compiled 6262 to 4025 computations (35.7% saved)

series1.5s (11.1%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

617.0ms	(.f64 (/.f64 1 PI.f64) (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))))
564.0ms	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))
222.0ms	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
42.0ms	(.f64 (.f64 v v) 5)

Compiler

Compiled 2178 to 1843 computations (15.4% saved)

simplify88.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5089	5925

prune340.0ms (2.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	165	5	170
Fresh	4	2	6
Picked	1	0	1
Done	1	1	2
Total	171	8	179

Error

0.0b

Counts

179 → 8

Compiler

Compiled 4466 to 2938 computations (34.2% saved)

regimes4.2s (31.5%)

Accuracy

Total 0.3b remaining (89.4%)

Threshold costs 0.3b (89.4%)

Compiler

Compiled 63339 to 46673 computations (26.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	57
1	58	57

end2.0ms (0%)

Compiler: Compiled 37 to 29 computations (21.6% saved)

sample1.1s (8.3%)

Algorithm

1×

intervals

Results

542.0ms	8000×	body	128	valid
1.0ms	11×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 448 to 344 computations (23.2% saved)

Details

analyze284.0ms (2.1%)

sample27.0ms (0.2%)

simplify50.0ms (0.4%)

prune5.0ms (0%)

localize16.0ms (0.1%)

rewrite306.0ms (2.3%)

series1.0s (7.4%)

simplify79.0ms (0.6%)

prune232.0ms (1.7%)

localize21.0ms (0.2%)

rewrite351.0ms (2.6%)

series820.0ms (6.1%)

simplify63.0ms (0.5%)

prune265.0ms (2%)

localize18.0ms (0.1%)

rewrite389.0ms (2.9%)

series1.3s (9.8%)

simplify73.0ms (0.5%)

prune293.0ms (2.2%)

localize20.0ms (0.1%)

rewrite548.0ms (4.1%)

series1.5s (11.1%)

simplify88.0ms (0.7%)

prune340.0ms (2.5%)

regimes4.2s (31.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end2.0ms (0%)

sample1.1s (8.3%)

Profiling