Details

analyze263.0ms (1.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample37.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	244×	body	128	valid
8.0ms	284×	pre	128	true
1.0ms	28×	body	128	nan
1.0ms	12×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify376.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (277.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

30.6b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(.f64 (.f64 3 a) c)
0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
30.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite133.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

28.4b

Rules

20×	`add-sqr-sqrt_binary64_1805`
14×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `*-un-lft-identity_binary64_1783`
9×	`pow1_binary64_1844`
8×	`add-log-exp_binary64_1822` `add-cube-cbrt_binary64_1818`
6×	`difference-of-squares_binary64_1752` `times-frac_binary64_1789` `associate-/l*_binary64_1728`
4×	`cancel-sign-sub-inv_binary64_1749` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
3×	`flip3--_binary64_1787` `flip--_binary64_1758` `sqrt-prod_binary64_1799` `distribute-lft-out--_binary64_1735` `pow-prod-down_binary64_1854` `associate-r_binary64_1723`
2×	`diff-log_binary64_1875` `sub-neg_binary64_1776` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `associate-/l/_binary64_1730`
1×	`frac-2neg_binary64_1794` `div-sub_binary64_1788` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/r_binary64_1727` `associate-l_binary64_1724` `-commutative_binary64_1714`

Counts

4 → 77

Calls

4 calls:

11.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series616.0ms (4.3%)

Error

1.1b

Counts

4 → 60

Calls

4 calls:

198.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
150.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
150.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
55.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5268	2923

prune168.0ms (1.2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	121	16	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	122	16	138

Error

0.7b

Counts

138 → 16

Compiler

Compiled 3435 to 1942 computations (43.5% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

rewrite563.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

109×	`add-exp-log_binary64_1821`
54×	`prod-exp_binary64_1832`
42×	`add-sqr-sqrt_binary64_1805`
30×	`div-exp_binary64_1834`
29×	`add-cbrt-cube_binary64_1819` `unpow-prod-down_binary64_1862`
24×	`pow-to-exp_binary64_1852` `pow-exp_binary64_1851`
22×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
19×	`times-frac_binary64_1789` `associate-/r_binary64_1727` `associate-r*_binary64_1723`
16×	`cube-prod_binary64_1811` `unswap-sqr_binary64_1751`
15×	`sqr-pow_binary64_1755`
13×	`associate-l_binary64_1724`
10×	`cbrt-unprod_binary64_1816`
6×	`cbrt-undiv_binary64_1817`
4×	`pow1_binary64_1844` `add-log-exp_binary64_1822` `unpow3_binary64_1849` `cube-mult_binary64_1813`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/l_binary64_1728` `-commutative_binary64_1714`

Counts

4 → 178

Calls

4 calls:

10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
8.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 9229 to 5770 computations (37.5% saved)

series760.0ms (5.3%)

Error

0.7b

Counts

4 → 30

Calls

4 calls:

264.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
206.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
127.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
101.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4050 to 3052 computations (24.6% saved)

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5093	3032

prune584.0ms (4.1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	1	14	15
Picked	0	1	1
Done	0	0	0
Total	208	16	224

Error

0.7b

Counts

224 → 16

Compiler

Compiled 10589 to 6603 computations (37.6% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.4b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite733.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

59×	`times-frac_binary64_1789`
46×	`pow1_binary64_1844`
44×	`add-exp-log_binary64_1821`
36×	`unpow-prod-down_binary64_1862`
33×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
26×	`add-cbrt-cube_binary64_1819`
18×	`pow-prod-down_binary64_1854` `sqr-pow_binary64_1755`
14×	`div-exp_binary64_1834`
13×	`prod-exp_binary64_1832`
12×	`pow-exp_binary64_1851`
11×	`associate-/l*_binary64_1728`
10×	`cbrt-unprod_binary64_1816` `associate-*r/_binary64_1725`
9×	`unpow3_binary64_1849` `cube-mult_binary64_1813` `cube-prod_binary64_1811`
8×	`pow-to-exp_binary64_1852` `associate-/r*_binary64_1727`
7×	`associate-/l/_binary64_1730`
5×	`frac-sub_binary64_1792`
4×	`add-log-exp_binary64_1822` `pow-prod-up_binary64_1853` `pow-sqr_binary64_1756` `frac-add_binary64_1791`
3×	`pow-unpow_binary64_1860` `cbrt-undiv_binary64_1817`
2×	`pow-pow_binary64_1855` `rem-cube-cbrt_binary64_1806` `pow-plus_binary64_1846` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `flip3-+_binary64_1786` `flip-+_binary64_1757`
1×	`pow2_binary64_1864` `swap-sqr_binary64_1750` `associate-l_binary64_1724` `associate-r_binary64_1723` `*-commutative_binary64_1714` `div-sub_binary64_1788` `flip3--_binary64_1787` `flip--_binary64_1758`

Counts

4 → 179

Calls

4 calls:

31.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
7.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 12142 to 7222 computations (40.5% saved)

series890.0ms (6.2%)

Error

0.7b

Counts

4 → 42

Calls

4 calls:

319.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
311.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
101.0ms	(pow.f64 (*.f64 a c) 3)
90.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4381 to 3234 computations (26.2% saved)

simplify111.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4949	5567
1	4949	5567

prune856.0ms (6%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	211	10	221
Fresh	2	12	14
Picked	1	0	1
Done	1	0	1
Total	215	22	237

Error

0.6b

Counts

237 → 22

Compiler

Compiled 14197 to 8724 computations (38.6% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)) 27/16)) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)))) (*.f64 a 3))
0.5b	(pow.f64 (*.f64 a c) 2)
0.7b	(pow.f64 (*.f64 a c) 3)
1.0b	(pow.f64 (*.f64 a c) 4)

rewrite299.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

18×	`add-exp-log_binary64_1821`
13×	`pow1_binary64_1844`
12×	`add-cbrt-cube_binary64_1819`
9×	`add-cube-cbrt_binary64_1818` `pow-unpow_binary64_1860` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
6×	`pow-pow_binary64_1855` `pow-exp_binary64_1851`
5×	`associate-/l/_binary64_1730`
4×	`prod-exp_binary64_1832` `add-log-exp_binary64_1822` `associate-*r/_binary64_1725` `frac-add_binary64_1791`
3×	`unpow-prod-down_binary64_1862` `pow-prod-down_binary64_1854` `pow-to-exp_binary64_1852` `sqr-pow_binary64_1755` `times-frac_binary64_1789` `associate-/l*_binary64_1728`
2×	`rem-cube-cbrt_binary64_1806` `cbrt-unprod_binary64_1816` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `flip3-+_binary64_1786` `flip-+_binary64_1757`
1×	`unpow3_binary64_1849` `cube-mult_binary64_1813` `cube-prod_binary64_1811` `unpow2_binary64_1848` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-l/_binary64_1726` `associate-/r_binary64_1727`

Counts

4 → 83

Calls

4 calls:

25.0ms	(/.f64 (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)) 27/16)) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)))) (*.f64 a 3))
4.0ms	(pow.f64 (*.f64 a c) 4)
4.0ms	(pow.f64 (*.f64 a c) 3)
4.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 5386 to 3315 computations (38.5% saved)

series1.1s (7.4%)

Error

0.6b

Counts

4 → 35

Calls

4 calls:

711.0ms	(/.f64 (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)) 27/16)) (.f64 405/128 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)))) (*.f64 a 3))
103.0ms	(pow.f64 (*.f64 a c) 4)
100.0ms	(pow.f64 (*.f64 a c) 3)
78.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 4205 to 3016 computations (28.3% saved)

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5144	2873

prune307.0ms (2.1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	21	21
Picked	0	1	1
Done	0	0	0
Total	118	22	140

Error

0.6b

Counts

140 → 22

Compiler

Compiled 6428 to 3854 computations (40% saved)

regimes1.6s (11.1%)

Accuracy

Total 4.4b remaining (88.2%)

Threshold costs 0b (0%)

Compiler

Compiled 26422 to 18275 computations (30.8% saved)

bsearch30.0ms (0.2%)

Steps

Iters	Range		Point
3	0.08085721234690375	0.10112227618043536	0.09985570969083962

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	265	118
1	265	118

end0.0ms (0%)

sample4.6s (32.4%)

Algorithm

1×

intervals

Results

406.0ms	7701×	body	128	valid
260.0ms	8911×	pre	128	true
42.0ms	911×	body	128	nan
28.0ms	299×	body	256	valid

Compiler

Compiled 5200 to 3595 computations (30.9% saved)

Details

analyze263.0ms (1.8%)

sample37.0ms (0.3%)

simplify376.0ms (2.6%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite133.0ms (0.9%)

series616.0ms (4.3%)

simplify56.0ms (0.4%)

prune168.0ms (1.2%)

localize31.0ms (0.2%)

rewrite563.0ms (3.9%)

series760.0ms (5.3%)

simplify86.0ms (0.6%)

prune584.0ms (4.1%)

localize30.0ms (0.2%)

rewrite733.0ms (5.1%)

series890.0ms (6.2%)

simplify111.0ms (0.8%)

prune856.0ms (6%)

localize28.0ms (0.2%)

rewrite299.0ms (2.1%)

series1.1s (7.4%)

simplify54.0ms (0.4%)

prune307.0ms (2.1%)

regimes1.6s (11.1%)

bsearch30.0ms (0.2%)

simplify6.0ms (0%)

end0.0ms (0%)

sample4.6s (32.4%)

Profiling