Details

analyze269.0ms (2.8%)

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 (0.4%)

Algorithm

1×

intervals

Results

9.0ms	285×	pre	128	true
9.0ms	168×	body	128	valid
8.0ms	88×	body	256	valid
1.0ms	29×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify379.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (284.0ms)

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

43.2b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(.f64 (.f64 3 a) c)
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
37.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite36.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

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))
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))

series580.0ms (6.1%)

Counts

4 → 60

Calls

4 calls:

213.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
157.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
153.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
56.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 1692 to 1453 computations (14.1% saved)

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5268	2923

prune196.0ms (2.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	124	13	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	13	138

Error

0.4b

Counts

138 → 13

Compiler

Compiled 3366 to 2000 computations (40.6% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.3b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
0.4b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

rewrite73.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

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×	`associate-/r*_binary64_1727` `times-frac_binary64_1789`
23×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
15×	`sqr-pow_binary64_1755`
12×	`associate-l_binary64_1724` `unswap-sqr_binary64_1751` `cube-prod_binary64_1811`
8×	`cbrt-unprod_binary64_1816` `cbrt-undiv_binary64_1817`
7×	`associate-r_binary64_1723`
4×	`add-log-exp_binary64_1822` `pow1_binary64_1844`
3×	`associate-/l*_binary64_1728` `cube-mult_binary64_1813` `unpow3_binary64_1849` `div-inv_binary64_1780` `frac-2neg_binary64_1794` `clear-num_binary64_1782`
1×	`*-commutative_binary64_1714`

Counts

4 → 202

Calls

4 calls:

10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
10.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

series959.0ms (10.1%)

Counts

4 → 33

Calls

4 calls:

336.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
290.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
205.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
127.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 2970 to 2346 computations (21% saved)

simplify96.0ms (1%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5089	3808

prune665.0ms (7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	234	1	235
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	234	14	248

Error

0.4b

Counts

248 → 14

Compiler

Compiled 11837 to 7433 computations (37.2% saved)

localize32.0ms (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 (pow.f64 a 4) (pow.f64 c 4))
0.4b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a a) (.f64 c 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))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite82.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

83×	`add-exp-log_binary64_1821`
38×	`prod-exp_binary64_1832`
36×	`pow-exp_binary64_1851`
35×	`pow-to-exp_binary64_1852`
32×	`div-exp_binary64_1834`
27×	`add-sqr-sqrt_binary64_1805`
19×	`add-cbrt-cube_binary64_1819` `unpow-prod-down_binary64_1862`
15×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
11×	`sqr-pow_binary64_1755`
10×	`associate-*r/_binary64_1725` `times-frac_binary64_1789`
9×	`unswap-sqr_binary64_1751`
8×	`associate-/r*_binary64_1727`
7×	`associate-/l/_binary64_1730` `associate-l_binary64_1724` `associate-r_binary64_1723` `pow1_binary64_1844`
5×	`frac-sub_binary64_1792`
4×	`associate-/l*_binary64_1728` `frac-add_binary64_1791` `cbrt-unprod_binary64_1816` `cbrt-undiv_binary64_1817` `add-log-exp_binary64_1822`
3×	`pow-unpow_binary64_1860`
2×	`rem-cube-cbrt_binary64_1806` `flip-+_binary64_1757` `div-inv_binary64_1780` `frac-2neg_binary64_1794` `flip3-+_binary64_1786` `pow-pow_binary64_1855` `clear-num_binary64_1782` `pow-prod-down_binary64_1854`
1×	`flip3--_binary64_1787` `div-sub_binary64_1788` `cube-mult_binary64_1813` `unpow3_binary64_1849` `*-commutative_binary64_1714` `flip--_binary64_1758` `cube-prod_binary64_1811`

Counts

4 → 150

Calls

4 calls:

35.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a a) (.f64 c 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))
9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
8.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
4.0ms	(pow.f64 (*.f64 a c) 3)

series872.0ms (9.2%)

Counts

4 → 42

Calls

4 calls:

329.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
318.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a a) (.f64 c 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))
120.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
104.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 2775 to 2170 computations (21.8% saved)

simplify97.0ms (1%)

Algorithm

1×	egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5029	4802

prune639.0ms (6.7%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	187	5	192
Fresh	3	9	12
Picked	0	1	1
Done	0	1	1
Total	190	16	206

Error

0.4b

Counts

206 → 16

Compiler

Compiled 11621 to 6913 computations (40.5% saved)

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
0.5b	(pow.f64 (*.f64 a c) 2)
0.7b	(pow.f64 (*.f64 a c) 3)
0.9b	(pow.f64 (*.f64 a c) 4)

rewrite38.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`times-frac_binary64_1789`
33×	`add-exp-log_binary64_1821`
29×	`unpow-prod-down_binary64_1862`
27×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
17×	`sqr-pow_binary64_1755`
16×	`pow-exp_binary64_1851`
13×	`pow1_binary64_1844`
12×	`div-exp_binary64_1834`
10×	`pow-to-exp_binary64_1852`
9×	`add-cbrt-cube_binary64_1819` `pow-unpow_binary64_1860`
7×	`associate-/r*_binary64_1727`
6×	`prod-exp_binary64_1832` `pow-pow_binary64_1855`
5×	`associate-/l*_binary64_1728`
4×	`add-log-exp_binary64_1822`
3×	`pow-prod-down_binary64_1854`
2×	`rem-cube-cbrt_binary64_1806`
1×	`cube-mult_binary64_1813` `cbrt-unprod_binary64_1816` `unpow2_binary64_1848` `unpow3_binary64_1849` `div-inv_binary64_1780` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `cube-prod_binary64_1811`

Counts

4 → 127

Calls

4 calls:

7.0ms	(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
5.0ms	(pow.f64 (*.f64 a c) 4)
4.0ms	(pow.f64 (*.f64 a c) 3)
4.0ms	(pow.f64 (*.f64 a c) 2)

series621.0ms (6.5%)

Counts

4 → 27

Calls

4 calls:

337.0ms	(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
103.0ms	(pow.f64 (*.f64 a c) 3)
100.0ms	(pow.f64 (*.f64 a c) 4)
80.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 2754 to 2106 computations (23.5% saved)

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5091	2247

prune446.0ms (4.7%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	13	13
Picked	0	1	1
Done	0	2	2
Total	154	16	170

Error

0.4b

Counts

170 → 16

Compiler

Compiled 8284 to 5277 computations (36.3% saved)

regimes634.0ms (6.7%)

Accuracy

Total 2.6b remaining (89.1%)

Threshold costs 0b (0%)

Compiler

Compiled 9603 to 6963 computations (27.5% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	203	67
1	203	67

end0.0ms (0%)

sample2.5s (26.7%)

Algorithm

1×

intervals

Results

289.0ms	2914×	body	256	valid
277.0ms	8880×	pre	128	true
259.0ms	5086×	body	128	valid
43.0ms	880×	body	128	nan

Compiler

Compiled 1903 to 1381 computations (27.4% saved)

Details

analyze269.0ms (2.8%)

sample37.0ms (0.4%)

simplify379.0ms (4%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite36.0ms (0.4%)

series580.0ms (6.1%)

simplify55.0ms (0.6%)

prune196.0ms (2.1%)

localize29.0ms (0.3%)

rewrite73.0ms (0.8%)

series959.0ms (10.1%)

simplify96.0ms (1%)

prune665.0ms (7%)

localize32.0ms (0.3%)

rewrite82.0ms (0.9%)

series872.0ms (9.2%)

simplify97.0ms (1%)

prune639.0ms (6.7%)

localize34.0ms (0.4%)

rewrite38.0ms (0.4%)

series621.0ms (6.5%)

simplify64.0ms (0.7%)

prune446.0ms (4.7%)

regimes634.0ms (6.7%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.5s (26.7%)

Profiling