Details

analyze589.0ms (3.9%)

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)

sample58.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	110×	body	256	valid
10.0ms	289×	pre	128	true
8.0ms	48×	body	512	valid
6.0ms	98×	body	128	valid
2.0ms	33×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify366.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (361.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	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

50.3b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
23.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite196.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

47.4b

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:

19.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
8.0ms	(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)

series863.0ms (5.8%)

Error

0.4b

Counts

4 → 72

Calls

4 calls:

251.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
195.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
183.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
134.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify112.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5207	3272

prune186.0ms (1.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	140	6	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	141	6	147

Error

0.3b

Counts

147 → 6

Compiler

Compiled 3306 to 1762 computations (46.7% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite710.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

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×	`unpow3_binary64_1849` `cube-mult_binary64_1813` `-commutative_binary64_1714` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/l_binary64_1728`

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))
9.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 8959 to 5346 computations (40.3% saved)

series1.0s (6.8%)

Error

0.3b

Counts

4 → 30

Calls

4 calls:

377.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
319.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
140.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
137.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 3690 to 2647 computations (28.3% saved)

simplify117.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4984	3398
1	4984	3398

prune671.0ms (4.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	217	1	218
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	217	7	224

Error

0.3b

Counts

224 → 7

Compiler

Compiled 9895 to 5943 computations (39.9% saved)

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite780.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

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:

8.0ms	(.f64 (.f64 a c) (*.f64 a c))
8.0ms	(pow.f64 (*.f64 a c) 3)
7.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
7.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))

Compiler

Compiled 10918 to 6364 computations (41.7% saved)

series795.0ms (5.3%)

Error

0.3b

Counts

4 → 27

Calls

4 calls:

374.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
136.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
126.0ms	(pow.f64 (*.f64 a c) 3)
100.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4059 to 2811 computations (30.7% saved)

simplify103.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5427	3066

prune680.0ms (4.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	219	7	226

Error

0.3b

Counts

226 → 7

Compiler

Compiled 11765 to 6877 computations (41.5% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.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))
0.4b	(.f64 (.f64 a a) (pow.f64 c 3))
10.1b	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))

rewrite562.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

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:

18.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
13.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
5.0ms	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))

Compiler

Compiled 8070 to 4961 computations (38.5% saved)

series1.9s (12.4%)

Error

0.3b

Counts

4 → 35

Calls

4 calls:

934.0ms	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))
386.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
308.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
133.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4357 to 3161 computations (27.5% saved)

simplify105.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5317	3240

prune579.0ms (3.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	197	7	204

Error

0.3b

Counts

204 → 7

Compiler

Compiled 9059 to 5568 computations (38.5% saved)

regimes662.0ms (4.4%)

Accuracy

Total 1.2b remaining (85.7%)

Threshold costs 0b (0%)

Compiler

Compiled 8160 to 5830 computations (28.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	201	63
1	201	63

end0.0ms (0%)

sample3.8s (25.6%)

Algorithm

1×

intervals

Results

455.0ms	3791×	body	256	valid
310.0ms	8804×	pre	128	true
245.0ms	1428×	body	512	valid
177.0ms	2781×	body	128	valid
50.0ms	804×	body	128	nan

Compiler

Compiled 2102 to 1507 computations (28.3% saved)

Details

analyze589.0ms (3.9%)

sample58.0ms (0.4%)

simplify366.0ms (2.4%)

prune4.0ms (0%)

localize13.0ms (0.1%)

rewrite196.0ms (1.3%)

series863.0ms (5.8%)

simplify112.0ms (0.8%)

prune186.0ms (1.2%)

localize33.0ms (0.2%)

rewrite710.0ms (4.7%)

series1.0s (6.8%)

simplify117.0ms (0.8%)

prune671.0ms (4.5%)

localize44.0ms (0.3%)

rewrite780.0ms (5.2%)

series795.0ms (5.3%)

simplify103.0ms (0.7%)

prune680.0ms (4.5%)

localize32.0ms (0.2%)

rewrite562.0ms (3.8%)

series1.9s (12.4%)

simplify105.0ms (0.7%)

prune579.0ms (3.9%)

regimes662.0ms (4.4%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample3.8s (25.6%)

Profiling