Details

analyze665.0ms (3.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5132	96
0	3	3
1	3	3

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)

sample48.0ms (0.3%)

Algorithm

1×

intervals

Results

13.0ms	242×	body	128	valid
13.0ms	278×	pre	128	true
2.0ms	14×	body	256	valid
1.0ms	22×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify439.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (428.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune7.0ms (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

29.5b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
29.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite216.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

27.2b

Rules

21×	`add-sqr-sqrt_binary64_1805`
14×	`*-un-lft-identity_binary64_1783`
9×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
8×	`add-log-exp_binary64_1822` `add-cube-cbrt_binary64_1818`
6×	`difference-of-squares_binary64_1752` `sqrt-prod_binary64_1799` `times-frac_binary64_1789` `associate-/l*_binary64_1728`
5×	`pow1_binary64_1844`
4×	`flip3--_binary64_1787` `flip--_binary64_1758` `cancel-sign-sub-inv_binary64_1749`
3×	`distribute-lft-out--_binary64_1735`
2×	`diff-log_binary64_1875` `sub-neg_binary64_1776` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `associate-/l/_binary64_1730` `sqrt-div_binary64_1800`
1×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `frac-2neg_binary64_1794` `div-sub_binary64_1788` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/r*_binary64_1727` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`

Counts

4 → 74

Calls

4 calls:

25.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
17.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series803.0ms (4.4%)

Error

1.1b

Counts

4 → 72

Calls

4 calls:

239.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
218.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
157.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
111.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify91.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5207	3272

prune228.0ms (1.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	130	16	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	131	16	147

Error

0.8b

Counts

147 → 16

Compiler

Compiled 3594 to 1964 computations (45.4% saved)

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
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))

rewrite792.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

155×	`add-exp-log_binary64_1821`
72×	`prod-exp_binary64_1832`
60×	`div-exp_binary64_1834`
50×	`pow-to-exp_binary64_1852` `pow-exp_binary64_1851`
40×	`add-sqr-sqrt_binary64_1805`
31×	`unpow-prod-down_binary64_1862`
29×	`add-cbrt-cube_binary64_1819`
26×	`times-frac_binary64_1789` `associate-/r*_binary64_1727`
23×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
15×	`sqr-pow_binary64_1755`
12×	`cube-prod_binary64_1811` `unswap-sqr_binary64_1751` `associate-l_binary64_1724`
8×	`cbrt-undiv_binary64_1817` `cbrt-unprod_binary64_1816`
7×	`associate-r_binary64_1723`
4×	`pow1_binary64_1844` `add-log-exp_binary64_1822`
3×	`frac-2neg_binary64_1794` `unpow3_binary64_1849` `cube-mult_binary64_1813` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/l*_binary64_1728`
1×	`*-commutative_binary64_1714`

Counts

4 → 202

Calls

4 calls:

20.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
17.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
16.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
16.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 9636 to 5744 computations (40.4% saved)

series1.4s (7.8%)

Error

0.8b

Counts

4 → 33

Calls

4 calls:

474.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
424.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
318.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
127.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 4059 to 2926 computations (27.9% saved)

simplify99.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5089	3808

prune848.0ms (4.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	232	3	235
Fresh	2	13	15
Picked	0	1	1
Done	0	0	0
Total	234	17	251

Error

0.8b

Counts

251 → 17

Compiler

Compiled 11009 to 6558 computations (40.4% saved)

localize48.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite981.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

56×	`times-frac_binary64_1789`
51×	`add-exp-log_binary64_1821`
48×	`unpow-prod-down_binary64_1862`
47×	`add-sqr-sqrt_binary64_1805`
46×	`pow1_binary64_1844`
35×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
26×	`sqr-pow_binary64_1755`
23×	`add-cbrt-cube_binary64_1819`
21×	`prod-exp_binary64_1832`
19×	`pow-prod-down_binary64_1854`
18×	`pow-exp_binary64_1851`
14×	`pow-to-exp_binary64_1852`
12×	`div-exp_binary64_1834`
10×	`cbrt-unprod_binary64_1816`
9×	`unpow3_binary64_1849` `cube-mult_binary64_1813` `cube-prod_binary64_1811` `unswap-sqr_binary64_1751`
8×	`associate-l_binary64_1724` `associate-r_binary64_1723` `associate-/l*_binary64_1728`
7×	`associate-/r*_binary64_1727`
4×	`add-log-exp_binary64_1822` `pow-prod-up_binary64_1853` `pow-sqr_binary64_1756`
3×	`pow-unpow_binary64_1860`
2×	`pow-pow_binary64_1855` `rem-cube-cbrt_binary64_1806` `pow-plus_binary64_1846` `*-commutative_binary64_1714`
1×	`pow2_binary64_1864` `swap-sqr_binary64_1750` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780`

Counts

4 → 192

Calls

4 calls:

15.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
15.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
14.0ms	(.f64 (.f64 a c) (*.f64 a c))
8.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 10918 to 6364 computations (41.7% saved)

series958.0ms (5.3%)

Error

0.8b

Counts

4 → 27

Calls

4 calls:

451.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
199.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
124.0ms	(.f64 (.f64 a c) (*.f64 a c))
114.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 4059 to 2811 computations (30.7% saved)

simplify85.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5427	3066

prune973.0ms (5.4%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	217	2	219
Fresh	0	15	15
Picked	0	1	1
Done	0	1	1
Total	217	19	236

Error

0.8b

Counts

236 → 19

Compiler

Compiled 12223 to 7201 computations (41.1% saved)

localize53.0ms (0.3%)

Local error

Found 4 expressions with local error:

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))
27.0b	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))

rewrite721.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

96×	`add-exp-log_binary64_1821`
45×	`prod-exp_binary64_1832`
40×	`add-sqr-sqrt_binary64_1805`
30×	`div-exp_binary64_1834`
28×	`unpow-prod-down_binary64_1862`
26×	`times-frac_binary64_1789`
24×	`add-cbrt-cube_binary64_1819`
23×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
22×	`pow-to-exp_binary64_1852` `pow-exp_binary64_1851`
19×	`associate-/r*_binary64_1727`
14×	`sqr-pow_binary64_1755`
12×	`log-pow_binary64_1872` `cube-prod_binary64_1811` `unswap-sqr_binary64_1751` `associate-l_binary64_1724`
11×	`exp-prod_binary64_1835`
7×	`cbrt-unprod_binary64_1816` `associate-r_binary64_1723`
6×	`cbrt-undiv_binary64_1817`
5×	`pow1_binary64_1844`
4×	`add-log-exp_binary64_1822`
3×	`div-inv_binary64_1780` `log-prod_binary64_1869` `unpow3_binary64_1849` `cube-mult_binary64_1813`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/l*_binary64_1728`
1×	`rem-log-exp_binary64_1824` `*-commutative_binary64_1714`

Counts

4 → 168

Calls

4 calls:

17.0ms	(/.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))
9.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
5.0ms	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))

Compiler

Compiled 8463 to 5212 computations (38.4% saved)

series2.2s (12.2%)

Error

0.8b

Counts

4 → 35

Calls

4 calls:

1.1s	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))
445.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
341.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
204.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 4357 to 3182 computations (27% saved)

simplify115.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5110	3175

prune741.0ms (4.1%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	200	3	203
Fresh	1	15	16
Picked	0	1	1
Done	0	2	2
Total	201	21	222

Error

0.8b

Counts

222 → 21

Compiler

Compiled 9438 to 5701 computations (39.6% saved)

regimes982.0ms (5.4%)

Accuracy

Total 4.3b remaining (86.3%)

Threshold costs 0b (0%)

Compiler

Compiled 10676 to 7690 computations (28% saved)

bsearch8.0ms (0%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	181	135
1	181	135

end0.0ms (0%)

sample4.5s (24.9%)

Algorithm

1×

intervals

Results

528.0ms	7716×	body	128	valid
364.0ms	8880×	pre	128	true
55.0ms	880×	body	128	nan
37.0ms	284×	body	256	valid

Compiler

Compiled 2779 to 1996 computations (28.2% saved)

Details

analyze665.0ms (3.7%)

sample48.0ms (0.3%)

simplify439.0ms (2.4%)

prune7.0ms (0%)

localize23.0ms (0.1%)

rewrite216.0ms (1.2%)

series803.0ms (4.4%)

simplify91.0ms (0.5%)

prune228.0ms (1.3%)

localize52.0ms (0.3%)

rewrite792.0ms (4.4%)

series1.4s (7.8%)

simplify99.0ms (0.5%)

prune848.0ms (4.7%)

localize48.0ms (0.3%)

rewrite981.0ms (5.4%)

series958.0ms (5.3%)

simplify85.0ms (0.5%)

prune973.0ms (5.4%)

localize53.0ms (0.3%)

rewrite721.0ms (4%)

series2.2s (12.2%)

simplify115.0ms (0.6%)

prune741.0ms (4.1%)

regimes982.0ms (5.4%)

bsearch8.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample4.5s (24.9%)

Profiling