Details

analyze865.0ms (3.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2088	133
1	2088	133
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample29.0ms (0.1%)

Algorithm

1×

intervals

Results

9.0ms	245×	body	128	valid
6.0ms	54×	body	128	invalid
1.0ms	6×	body	512	valid
0.0ms	3×	body	1024	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify13.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	400	19
1	400	19

prune3.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 (+.f64 y z) 2) t)
0.0b	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))
0.0b	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))

rewrite81.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-log-exp_binary64_5573` `add-sqr-sqrt_binary64_5556`
5×	`pow1_binary64_5595` `add-exp-log_binary64_5572` `add-cbrt-cube_binary64_5570` `add-cube-cbrt_binary64_5569` `*-un-lft-identity_binary64_5534`
3×	`flip3-+_binary64_5537` `flip-+_binary64_5508` `associate-l_binary64_5475` `associate-r_binary64_5474`
2×	`sum-log_binary64_5625` `distribute-rgt-in_binary64_5484` `associate-+l+_binary64_5467` `distribute-lft-in_binary64_5483` `+-commutative_binary64_5464` `associate-*r/_binary64_5476`
1×	`pow-prod-down_binary64_5605` `prod-exp_binary64_5583` `cbrt-unprod_binary64_5567` `unswap-sqr_binary64_5502` `*-commutative_binary64_5465`

Counts

3 → 46

Calls

3 calls:

10.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
10.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))
6.0ms	(+.f64 (*.f64 (+.f64 y z) 2) t)

Compiler

Compiled 1060 to 600 computations (43.4% saved)

series721.0ms (2.7%)

Error

0.1b

Counts

3 → 63

Calls

3 calls:

347.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
205.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))
122.0ms	(+.f64 (*.f64 (+.f64 y z) 2) t)

Compiler

Compiled 2261 to 1761 computations (22.1% saved)

simplify67.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5107	1568

prune95.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	4	110

Error

0.0b

Counts

110 → 4

Compiler

Compiled 1738 to 984 computations (43.4% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (*.f64 2 (+.f64 y z))))))
0.6b	(cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (*.f64 2 (+.f64 y z))))))
0.6b	(cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (*.f64 2 (+.f64 y z))))))
0.6b	(.f64 (cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (.f64 2 (+.f64 y z)))))) (cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (*.f64 2 (+.f64 y z)))))))

rewrite278.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_5565`
23×	`add-sqr-sqrt_binary64_5556`
18×	`cbrt-div_binary64_5566`
15×	`add-cube-cbrt_binary64_5569` `*-un-lft-identity_binary64_5534`
11×	`pow1_binary64_5595`
9×	`pow1/3_binary64_5616` `flip3-+_binary64_5537` `flip-+_binary64_5508`
6×	`add-exp-log_binary64_5572` `swap-sqr_binary64_5501` `associate-l_binary64_5475` `associate-r_binary64_5474`
4×	`add-log-exp_binary64_5573` `add-cbrt-cube_binary64_5570` `frac-times_binary64_5544` `unswap-sqr_binary64_5502`
2×	`pow-prod-down_binary64_5605` `pow-prod-up_binary64_5604` `pow-sqr_binary64_5507` `associate-l/_binary64_5477` `associate-r/_binary64_5476`
1×	`pow2_binary64_5615` `pow-plus_binary64_5597` `prod-exp_binary64_5583` `cbrt-unprod_binary64_5567` `*-commutative_binary64_5465`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (.f64 2 (+.f64 y z)))))) (cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (*.f64 2 (+.f64 y z)))))))
3.0ms	(cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (*.f64 2 (+.f64 y z))))))
3.0ms	(cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (*.f64 2 (+.f64 y z))))))
3.0ms	(cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (*.f64 2 (+.f64 y z))))))

Compiler

Compiled 5588 to 3397 computations (39.2% saved)

series4.9s (18.1%)

Error

0.0b

Counts

4 → 96

Calls

4 calls:

2.4s	(.f64 (cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (.f64 2 (+.f64 y z)))))) (cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (*.f64 2 (+.f64 y z)))))))
729.0ms	(cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (*.f64 2 (+.f64 y z))))))
728.0ms	(cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (*.f64 2 (+.f64 y z))))))
716.0ms	(cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (*.f64 2 (+.f64 y z))))))

Compiler

Compiled 24623 to 18513 computations (24.8% saved)

simplify94.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5068	9372

prune702.0ms (2.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	181	2	183
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	181	6	187

Error

0.0b

Counts

187 → 6

Compiler

Compiled 11389 to 7092 computations (37.7% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (*.f64 2 (+.f64 y z))))))
0.6b	(cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (*.f64 2 (+.f64 y z))))))
0.6b	(.f64 (cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (.f64 2 (+.f64 y z)))))) (cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (*.f64 2 (+.f64 y z)))))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (*.f64 2 (+.f64 z y)))))))

rewrite472.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`cbrt-prod_binary64_5565`
24×	`add-sqr-sqrt_binary64_5556`
20×	`cbrt-div_binary64_5566`
16×	`add-cube-cbrt_binary64_5569` `*-un-lft-identity_binary64_5534`
11×	`pow1_binary64_5595`
9×	`pow1/3_binary64_5616` `flip3-+_binary64_5537` `flip-+_binary64_5508`
6×	`add-exp-log_binary64_5572` `swap-sqr_binary64_5501` `associate-l_binary64_5475` `associate-r_binary64_5474`
4×	`add-log-exp_binary64_5573` `add-cbrt-cube_binary64_5570` `frac-times_binary64_5544` `unswap-sqr_binary64_5502`
2×	`pow-prod-down_binary64_5605` `pow-prod-up_binary64_5604` `pow-sqr_binary64_5507` `associate-l/_binary64_5477` `associate-r/_binary64_5476`
1×	`pow2_binary64_5615` `pow-plus_binary64_5597` `prod-exp_binary64_5583` `cbrt-unprod_binary64_5567` `*-commutative_binary64_5465`

Counts

4 → 90

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (.f64 2 (+.f64 y z)))))) (cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (*.f64 2 (+.f64 y z)))))))
4.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (*.f64 2 (+.f64 z y)))))))
4.0ms	(cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (*.f64 2 (+.f64 y z))))))
3.0ms	(cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (*.f64 2 (+.f64 y z))))))

Compiler

Compiled 8665 to 5323 computations (38.6% saved)

series5.2s (19.2%)

Error

0.0b

Counts

4 → 95

Calls

4 calls:

2.5s	(.f64 (cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (.f64 2 (+.f64 y z)))))) (cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (*.f64 2 (+.f64 y z)))))))
751.0ms	(cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (*.f64 2 (+.f64 y z))))))
748.0ms	(cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (*.f64 2 (+.f64 y z))))))
713.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (*.f64 2 (+.f64 z y)))))))

Compiler

Compiled 31943 to 23201 computations (27.4% saved)

simplify96.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5219	9562

prune1.0s (3.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	184	1	185
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	184	7	191

Error

0.0b

Counts

191 → 7

Compiler

Compiled 17456 to 10881 computations (37.7% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (.f64 2 (+.f64 z y))))))) (cbrt.f64 (sqrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (*.f64 2 (+.f64 z y))))))))
0.3b	(.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (.f64 2 (+.f64 z y))))))) (cbrt.f64 (sqrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (*.f64 2 (+.f64 z y))))))))
0.3b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (.f64 2 (+.f64 z y))))))) (cbrt.f64 (sqrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (.f64 2 (+.f64 z y)))))))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (.f64 2 (+.f64 z y))))))) (cbrt.f64 (sqrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (*.f64 2 (+.f64 z y)))))))))
0.6b	(cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (*.f64 2 (+.f64 y z))))))

rewrite2.8s (10.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

242×	`cbrt-div_binary64_5566`
240×	`sqrt-div_binary64_5551`
144×	`frac-times_binary64_5544`
129×	`pow1_binary64_5595`
121×	`flip3-+_binary64_5537` `flip-+_binary64_5508`
83×	`cbrt-prod_binary64_5565`
73×	`add-sqr-sqrt_binary64_5556`
57×	`pow1/3_binary64_5616`
53×	`pow-prod-up_binary64_5604`
48×	`associate-l/_binary64_5477` `associate-r/_binary64_5476`
40×	`sqrt-prod_binary64_5550`
37×	`pow-sqr_binary64_5507`
36×	`pow-prod-down_binary64_5605`
29×	`add-cube-cbrt_binary64_5569` `*-un-lft-identity_binary64_5534`
23×	`swap-sqr_binary64_5501`
20×	`add-exp-log_binary64_5572` `pow-plus_binary64_5597`
19×	`unswap-sqr_binary64_5502` `associate-l_binary64_5475` `associate-r_binary64_5474`
15×	`pow2_binary64_5615`
10×	`prod-exp_binary64_5583` `cbrt-unprod_binary64_5567`
8×	`add-cbrt-cube_binary64_5570`
4×	`add-log-exp_binary64_5573`
3×	`*-commutative_binary64_5465`

Counts

4 → 295

Calls

4 calls:

33.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (.f64 2 (+.f64 z y))))))) (cbrt.f64 (sqrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (.f64 2 (+.f64 z y)))))))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (.f64 2 (+.f64 z y))))))) (cbrt.f64 (sqrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (*.f64 2 (+.f64 z y)))))))))
14.0ms	(.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (.f64 2 (+.f64 z y))))))) (cbrt.f64 (sqrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (*.f64 2 (+.f64 z y))))))))
14.0ms	(.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (.f64 2 (+.f64 z y))))))) (cbrt.f64 (sqrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (*.f64 2 (+.f64 z y))))))))
3.0ms	(cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (*.f64 2 (+.f64 y z))))))

Compiler

Compiled 33752 to 21026 computations (37.7% saved)

series4.2s (15.4%)

Error

0.0b

Counts

4 → 78

Calls

4 calls:

2.4s	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (.f64 2 (+.f64 z y))))))) (cbrt.f64 (sqrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (.f64 2 (+.f64 z y)))))))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (.f64 2 (+.f64 z y))))))) (cbrt.f64 (sqrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (*.f64 2 (+.f64 z y)))))))))
498.0ms	(.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (.f64 2 (+.f64 z y))))))) (cbrt.f64 (sqrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (*.f64 2 (+.f64 z y))))))))
497.0ms	(cbrt.f64 (+.f64 (.f64 5 y) (.f64 x (+.f64 t (*.f64 2 (+.f64 y z))))))
495.0ms	(.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (.f64 2 (+.f64 z y))))))) (cbrt.f64 (sqrt.f64 (+.f64 (.f64 y 5) (.f64 x (+.f64 t (*.f64 2 (+.f64 z y))))))))

Compiler

Compiled 22574 to 16814 computations (25.5% saved)

simplify254.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

373 → 373

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4976	26583
1	4976	26583

prune2.7s (10.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	373	0	373
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	373	7	380

Error

0.0b

Counts

380 → 7

Compiler

Compiled 32837 to 20418 computations (37.8% saved)

regimes532.0ms (2%)

Accuracy

Total 0.1b remaining (78.7%)

Threshold costs 0.1b (78.7%)

Compiler

Compiled 7698 to 5866 computations (23.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	22
1	20	22

end0.0ms (0%)

sample1.8s (6.8%)

Algorithm

1×

intervals

Results

296.0ms	7729×	body	128	valid
66.0ms	1869×	body	128	invalid
21.0ms	132×	body	1024	valid
9.0ms	90×	body	512	valid
3.0ms	48×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 1563 to 1191 computations (23.8% saved)

Details

analyze865.0ms (3.2%)

sample29.0ms (0.1%)

simplify13.0ms (0%)

prune3.0ms (0%)

localize9.0ms (0%)

rewrite81.0ms (0.3%)

series721.0ms (2.7%)

simplify67.0ms (0.2%)

prune95.0ms (0.4%)

localize16.0ms (0.1%)

rewrite278.0ms (1%)

series4.9s (18.1%)

simplify94.0ms (0.3%)

prune702.0ms (2.6%)

localize32.0ms (0.1%)

rewrite472.0ms (1.7%)

series5.2s (19.2%)

simplify96.0ms (0.4%)

prune1.0s (3.8%)

localize26.0ms (0.1%)

rewrite2.8s (10.4%)

series4.2s (15.4%)

simplify254.0ms (0.9%)

prune2.7s (10.1%)

regimes532.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.8s (6.8%)

Profiling