Details

analyze492.0ms (3.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	96
1	4937	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

Symmetry

Compiler

Compiled 30 to 24 computations (20% saved)

sample40.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	245×	body	128	valid
11.0ms	288×	pre	128	true
1.0ms	32×	body	128	nan
1.0ms	11×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify279.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (273.0ms)

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

29.8b

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))
29.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite139.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

27.7b

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:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
9.0ms	(-.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)

series609.0ms (4.7%)

Error

1.0b

Counts

4 → 60

Calls

4 calls:

186.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
155.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
148.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
53.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5268	2923

prune163.0ms (1.3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	120	17	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	17	138

Error

0.7b

Counts

138 → 17

Compiler

Compiled 3452 to 1954 computations (43.4% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
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 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))

rewrite633.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

144×	`add-exp-log_binary64_1821`
72×	`prod-exp_binary64_1832`
51×	`div-exp_binary64_1834`
49×	`pow-to-exp_binary64_1852` `pow-exp_binary64_1851`
40×	`add-sqr-sqrt_binary64_1805`
29×	`unpow-prod-down_binary64_1862`
25×	`add-cbrt-cube_binary64_1819`
20×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
19×	`associate-r_binary64_1723`
16×	`unswap-sqr_binary64_1751`
15×	`sqr-pow_binary64_1755`
14×	`times-frac_binary64_1789` `associate-/r*_binary64_1727`
13×	`associate-l_binary64_1724`
10×	`cube-prod_binary64_1811`
8×	`cbrt-unprod_binary64_1816`
5×	`cbrt-undiv_binary64_1817`
4×	`pow1_binary64_1844` `add-log-exp_binary64_1822`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/l_binary64_1728` `unpow3_binary64_1849` `cube-mult_binary64_1813` `-commutative_binary64_1714`

Counts

4 → 188

Calls

4 calls:

11.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
8.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 9711 to 6098 computations (37.2% saved)

series866.0ms (6.7%)

Error

0.7b

Counts

4 → 30

Calls

4 calls:

317.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
271.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
112.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
104.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4050 to 3007 computations (25.8% saved)

simplify102.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4984	3398
1	4984	3398

prune598.0ms (4.6%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	216	2	218
Fresh	1	15	16
Picked	0	1	1
Done	0	0	0
Total	217	18	235

Error

0.7b

Counts

235 → 18

Compiler

Compiled 11113 to 7064 computations (36.4% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite599.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

127×	`add-exp-log_binary64_1821`
60×	`prod-exp_binary64_1832`
46×	`pow1_binary64_1844`
45×	`div-exp_binary64_1834`
42×	`add-cbrt-cube_binary64_1819`
35×	`pow-exp_binary64_1851`
34×	`pow-to-exp_binary64_1852`
19×	`times-frac_binary64_1789` `associate-/r*_binary64_1727`
18×	`pow-prod-down_binary64_1854` `cbrt-unprod_binary64_1816`
15×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
13×	`unpow-prod-down_binary64_1862`
7×	`cube-prod_binary64_1811` `cbrt-undiv_binary64_1817`
5×	`sqr-pow_binary64_1755`
4×	`add-log-exp_binary64_1822` `pow-prod-up_binary64_1853` `pow-sqr_binary64_1756`
3×	`pow-unpow_binary64_1860` `unpow3_binary64_1849` `cube-mult_binary64_1813`
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` `associate-/l*_binary64_1728`
1×	`pow2_binary64_1864` `swap-sqr_binary64_1750` `associate-l_binary64_1724` `associate-r_binary64_1723` `*-commutative_binary64_1714`

Counts

4 → 168

Calls

4 calls:

11.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 9569 to 5620 computations (41.3% saved)

series802.0ms (6.2%)

Error

0.7b

Counts

4 → 30

Calls

4 calls:

330.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
217.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
102.0ms	(pow.f64 (*.f64 a c) 3)
85.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4626 to 3315 computations (28.3% saved)

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4971	2399
1	4971	2399

prune558.0ms (4.3%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	197	1	198
Fresh	0	16	16
Picked	0	1	1
Done	0	1	1
Total	197	19	216

Error

0.7b

Counts

216 → 19

Compiler

Compiled 10853 to 6670 computations (38.5% saved)

localize33.0ms (0.3%)

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 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
28.7b	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))

rewrite560.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

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

Counts

4 → 162

Calls

4 calls:

11.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
11.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
5.0ms	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))

Compiler

Compiled 8718 to 5609 computations (35.7% saved)

series1.5s (11.8%)

Error

0.7b

Counts

4 → 35

Calls

4 calls:

757.0ms	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))
322.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
274.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
110.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4769 to 3573 computations (25.1% saved)

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5317	3240

prune539.0ms (4.2%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	16	16
Picked	0	1	1
Done	0	2	2
Total	197	19	216

Error

0.7b

Counts

216 → 19

Compiler

Compiled 9847 to 6356 computations (35.5% saved)

regimes946.0ms (7.3%)

Accuracy

Total 5.1b remaining (87.6%)

Threshold costs 0b (0%)

Compiler

Compiled 13186 to 9571 computations (27.4% saved)

bsearch24.0ms (0.2%)

Steps

Iters	Range		Point
4	16.68425578676798	25.529614292712846	17.51350814670031

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

Removed

()

end0.0ms (0%)

sample3.2s (24.4%)

Algorithm

1×

intervals

Results

592.0ms	7679×	body	128	valid
272.0ms	8988×	pre	128	true
43.0ms	988×	body	128	nan
30.0ms	321×	body	256	valid

Compiler

Compiled 2549 to 1851 computations (27.4% saved)

Details

analyze492.0ms (3.8%)

sample40.0ms (0.3%)

simplify279.0ms (2.1%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite139.0ms (1.1%)

series609.0ms (4.7%)

simplify53.0ms (0.4%)

prune163.0ms (1.3%)

localize34.0ms (0.3%)

rewrite633.0ms (4.9%)

series866.0ms (6.7%)

simplify102.0ms (0.8%)

prune598.0ms (4.6%)

localize34.0ms (0.3%)

rewrite599.0ms (4.6%)

series802.0ms (6.2%)

simplify78.0ms (0.6%)

prune558.0ms (4.3%)

localize33.0ms (0.3%)

rewrite560.0ms (4.3%)

series1.5s (11.8%)

simplify77.0ms (0.6%)

prune539.0ms (4.2%)

regimes946.0ms (7.3%)

bsearch24.0ms (0.2%)

simplify6.0ms (0%)

end0.0ms (0%)

sample3.2s (24.4%)

Profiling