Details

analyze484.0ms (4.5%)

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)

sample47.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	120×	body	256	valid
8.0ms	277×	pre	128	true
7.0ms	47×	body	512	valid
4.0ms	89×	body	128	valid
1.0ms	21×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify312.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (307.0ms)

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

51.5b

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))
24.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite148.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

48.5b

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:

11.0ms	(/.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)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series664.0ms (6.2%)

Error

0.3b

Counts

4 → 72

Calls

4 calls:

198.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
147.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
145.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
101.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5207	3272

prune159.0ms (1.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	137	9	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	9	147

Error

0.2b

Counts

147 → 9

Compiler

Compiled 3428 to 1844 computations (46.2% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite514.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

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:

11.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
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))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 8517 to 5058 computations (40.6% saved)

series766.0ms (7.2%)

Error

0.2b

Counts

4 → 30

Calls

4 calls:

271.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
217.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
123.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
106.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3690 to 2692 computations (27% saved)

simplify88.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5093	3032

prune506.0ms (4.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	207	10	217

Error

0.2b

Counts

217 → 10

Compiler

Compiled 9583 to 5643 computations (41.1% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.4b	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
0.6b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite432.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

80×	`add-exp-log_binary64_1821`
46×	`pow1_binary64_1844`
42×	`prod-exp_binary64_1832`
39×	`add-cbrt-cube_binary64_1819`
27×	`add-sqr-sqrt_binary64_1805`
19×	`unpow-prod-down_binary64_1862` `pow-prod-down_binary64_1854`
18×	`cbrt-unprod_binary64_1816`
15×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `div-exp_binary64_1834`
13×	`pow-exp_binary64_1851`
12×	`pow-to-exp_binary64_1852` `times-frac_binary64_1789` `associate-/r*_binary64_1727`
11×	`sqr-pow_binary64_1755`
9×	`unswap-sqr_binary64_1751`
8×	`associate-l_binary64_1724` `associate-r_binary64_1723`
7×	`cube-prod_binary64_1811`
5×	`cbrt-undiv_binary64_1817`
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` `*-commutative_binary64_1714`
1×	`pow2_binary64_1864` `swap-sqr_binary64_1750` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/l*_binary64_1728`

Counts

4 → 153

Calls

4 calls:

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

Compiler

Compiled 8467 to 4865 computations (42.5% saved)

series595.0ms (5.6%)

Error

0.2b

Counts

4 → 27

Calls

4 calls:

229.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
124.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
99.0ms	(pow.f64 (*.f64 a c) 3)
91.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4005 to 2847 computations (28.9% saved)

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5056	1914

prune484.0ms (4.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	180	10	190

Error

0.2b

Counts

190 → 10

Compiler

Compiled 9375 to 5620 computations (40.1% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
13.3b	(log.f64 (exp.f64 (.f64 (.f64 a a) (pow.f64 c 3))))

rewrite387.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

53×	`add-exp-log_binary64_1821`
39×	`add-sqr-sqrt_binary64_1805`
27×	`prod-exp_binary64_1832`
23×	`unpow-prod-down_binary64_1862`
20×	`add-cbrt-cube_binary64_1819`
19×	`add-cube-cbrt_binary64_1818` `-un-lft-identity_binary64_1783` `associate-r*_binary64_1723`
16×	`cube-prod_binary64_1811` `unswap-sqr_binary64_1751`
13×	`sqr-pow_binary64_1755` `associate-l_binary64_1724`
12×	`times-frac_binary64_1789` `associate-/r*_binary64_1727`
11×	`pow-to-exp_binary64_1852` `pow-exp_binary64_1851`
9×	`div-exp_binary64_1834`
7×	`cbrt-unprod_binary64_1816`
5×	`add-log-exp_binary64_1822` `pow1_binary64_1844`
4×	`unpow3_binary64_1849` `cube-mult_binary64_1813`
3×	`log-pow_binary64_1872` `log-prod_binary64_1869` `cbrt-undiv_binary64_1817`
2×	`*-commutative_binary64_1714`
1×	`exp-to-pow_binary64_1845` `exp-prod_binary64_1835` `rem-log-exp_binary64_1824` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/l*_binary64_1728`

Counts

4 → 143

Calls

4 calls:

9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
2.0ms	(log.f64 (exp.f64 (.f64 (.f64 a a) (pow.f64 c 3))))

Compiler

Compiled 7132 to 4372 computations (38.7% saved)

series684.0ms (6.4%)

Error

0.2b

Counts

4 → 27

Calls

4 calls:

212.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
210.0ms	(log.f64 (exp.f64 (.f64 (.f64 a a) (pow.f64 c 3))))
108.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
104.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3471 to 2572 computations (25.9% saved)

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5339	2225

prune416.0ms (3.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	170	10	180

Error

0.2b

Counts

180 → 10

Compiler

Compiled 7888 to 4720 computations (40.2% saved)

regimes585.0ms (5.5%)

Accuracy

Total 1.2b remaining (87.4%)

Threshold costs 0b (0%)

Compiler

Compiled 8772 to 6290 computations (28.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	86	61
1	86	61

end0.0ms (0%)

sample3.1s (28.8%)

Algorithm

1×

intervals

Results

378.0ms	3860×	body	256	valid
272.0ms	8865×	pre	128	true
208.0ms	1435×	body	512	valid
140.0ms	2705×	body	128	valid
43.0ms	865×	body	128	nan

Compiler

Compiled 2254 to 1619 computations (28.2% saved)

Details

analyze484.0ms (4.5%)

sample47.0ms (0.4%)

simplify312.0ms (2.9%)

prune4.0ms (0%)

localize13.0ms (0.1%)

rewrite148.0ms (1.4%)

series664.0ms (6.2%)

simplify76.0ms (0.7%)

prune159.0ms (1.5%)

localize26.0ms (0.2%)

rewrite514.0ms (4.8%)

series766.0ms (7.2%)

simplify88.0ms (0.8%)

prune506.0ms (4.8%)

localize29.0ms (0.3%)

rewrite432.0ms (4.1%)

series595.0ms (5.6%)

simplify58.0ms (0.5%)

prune484.0ms (4.5%)

localize31.0ms (0.3%)

rewrite387.0ms (3.6%)

series684.0ms (6.4%)

simplify77.0ms (0.7%)

prune416.0ms (3.9%)

regimes585.0ms (5.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.1s (28.8%)

Profiling