Details

analyze2.4s (10.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5523	968
0	7	7
1	7	7

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
3.1%	96.5%	0.3%	9
4.7%	95%	0.3%	10
4.7%	95%	0.3%	11
5.1%	82.1%	12.8%	12
6.2%	74.7%	19%	13
6.4%	74.5%	19%	14

Compiler

Compiled 34 to 30 computations (11.8% saved)

sample77.0ms (0.3%)

Algorithm

1×

intervals

Results

30.0ms	256×	body	128	valid
17.0ms	143×	body	128	nan

Compiler

Compiled 67 to 66 computations (1.5% saved)

simplify52.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5053	44

prune5.0ms (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

2.8b

Counts

2 → 1

Compiler

Compiled 58 to 50 computations (13.8% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 z (sqrt.f64 (+.f64 t a)))
0.4b	(/.f64 2/3 t)
1.7b	(-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
4.5b	(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)

rewrite347.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

35×	`add-sqr-sqrt_binary64_11012`
33×	`*-un-lft-identity_binary64_10990`
31×	`add-cube-cbrt_binary64_11025`
30×	`times-frac_binary64_10996` `associate--r+_binary64_10926`
27×	`cancel-sign-sub-inv_binary64_10956`
20×	`frac-sub_binary64_10999`
15×	`distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
13×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
9×	`flip3--_binary64_10994` `flip--_binary64_10965`
8×	`associate-*r/_binary64_10932` `frac-times_binary64_11000`
7×	`associate-r_binary64_10930`
6×	`pow1_binary64_11051` `add-log-exp_binary64_11029` `associate-/r*_binary64_10934`
5×	`flip3-+_binary64_10993` `flip-+_binary64_10964` `sqrt-prod_binary64_11006`
4×	`div-inv_binary64_10987` `sqrt-div_binary64_11007` `associate-/l*_binary64_10935`
3×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024` `sub-neg_binary64_10983` `associate-l_binary64_10931`
2×	`prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `frac-2neg_binary64_11001` `clear-num_binary64_10989` `associate-/l/_binary64_10937` `associate-*l/_binary64_10933` `associate--l+_binary64_10927` `unswap-sqr_binary64_10958`
1×	`diff-log_binary64_11082` `pow-prod-down_binary64_11061` `distribute-lft-out_binary64_10941` `*-commutative_binary64_10921`

Counts

4 → 131

Calls

4 calls:

21.0ms	(-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
15.0ms	(*.f64 z (sqrt.f64 (+.f64 t a)))
8.0ms	(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)
6.0ms	(/.f64 2/3 t)

Compiler

Compiled 5521 to 2678 computations (51.5% saved)

series1.3s (5.7%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

892.0ms	(-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
166.0ms	(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)
158.0ms	(*.f64 z (sqrt.f64 (+.f64 t a)))
21.0ms	(/.f64 2/3 t)

Compiler

Compiled 5135 to 3735 computations (27.3% saved)

simplify105.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5670	4634

prune361.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	183	2	185
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	183	3	186

Error

0.0b

Counts

186 → 3

Compiler

Compiled 6990 to 3500 computations (49.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (+.f64 x (.f64 y (pow.f64 (exp.f64 2) (.f64 (+.f64 a 5/6) (-.f64 c b))))))
0.0b	(+.f64 a 5/6)
0.0b	(pow.f64 (exp.f64 2) (*.f64 (+.f64 a 5/6) (-.f64 c b)))
0.1b	(*.f64 (+.f64 a 5/6) (-.f64 c b))

rewrite240.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`*-un-lft-identity_binary64_10990`
24×	`add-sqr-sqrt_binary64_11012`
20×	`add-cube-cbrt_binary64_11025`
12×	`cancel-sign-sub-inv_binary64_10956`
9×	`times-frac_binary64_10996`
8×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939` `unpow-prod-up_binary64_11068`
7×	`pow1_binary64_11051`
6×	`add-log-exp_binary64_11029`
5×	`flip3-+_binary64_10993` `flip-+_binary64_10964` `associate-r_binary64_10930`
4×	`frac-times_binary64_11000` `sub-neg_binary64_10983` `associate-l_binary64_10931` `unpow-prod-down_binary64_11069` `pow-pow_binary64_11062`
3×	`flip3--_binary64_10994` `flip--_binary64_10965` `exp-prod_binary64_11042` `associate-/l_binary64_10935` `associate-/r_binary64_10934`
2×	`associate-l/_binary64_10933` `associate-r/_binary64_10932` `distribute-lft-out_binary64_10941` `associate-/r/_binary64_10936`
1×	`pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `unswap-sqr_binary64_10958` `difference-of-squares_binary64_10959` `distribute-lft-out--_binary64_10942` `*-commutative_binary64_10921` `exp-lft-sqr_binary64_11045` `pow-unpow_binary64_11067` `pow-to-exp_binary64_11059` `pow-exp_binary64_11058` `sqr-pow_binary64_10962` `sum-log_binary64_11081` `+-commutative_binary64_10920` `div-exp_binary64_11041` `cbrt-undiv_binary64_11024` `frac-2neg_binary64_11001` `clear-num_binary64_10989` `div-inv_binary64_10987`

Counts

4 → 105

Calls

4 calls:

12.0ms	(*.f64 (+.f64 a 5/6) (-.f64 c b))
10.0ms	(pow.f64 (exp.f64 2) (*.f64 (+.f64 a 5/6) (-.f64 c b)))
9.0ms	(/.f64 x (+.f64 x (.f64 y (pow.f64 (exp.f64 2) (.f64 (+.f64 a 5/6) (-.f64 c b))))))
6.0ms	(+.f64 a 5/6)

Compiler

Compiled 2815 to 1685 computations (40.1% saved)

series2.3s (9.9%)

Error

0.0b

Counts

4 → 65

Calls

4 calls:

1.6s	(/.f64 x (+.f64 x (.f64 y (pow.f64 (exp.f64 2) (.f64 (+.f64 a 5/6) (-.f64 c b))))))
400.0ms	(pow.f64 (exp.f64 2) (*.f64 (+.f64 a 5/6) (-.f64 c b)))
164.0ms	(*.f64 (+.f64 a 5/6) (-.f64 c b))
28.0ms	(+.f64 a 5/6)

Compiler

Compiled 6900 to 5774 computations (16.3% saved)

simplify97.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5625	4592

prune272.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	169	1	170
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	169	4	173

Error

Counts

173 → 4

Compiler

Compiled 4485 to 2772 computations (38.2% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 z (sqrt.f64 a)) (.f64 2/3 (-.f64 b c)))
0.2b	(*.f64 z (sqrt.f64 a))
0.3b	(*.f64 2/3 (-.f64 b c))
1.3b	(/.f64 (+.f64 (.f64 z (sqrt.f64 a)) (.f64 2/3 (-.f64 b c))) t)

rewrite185.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`add-sqr-sqrt_binary64_11012`
23×	`*-un-lft-identity_binary64_10990`
21×	`add-cube-cbrt_binary64_11025`
12×	`cancel-sign-sub-inv_binary64_10956`
11×	`associate-r_binary64_10930`
10×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
9×	`times-frac_binary64_10996`
8×	`pow1_binary64_11051` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939` `associate-+r+_binary64_10922`
6×	`add-log-exp_binary64_11029` `associate-l_binary64_10931`
4×	`sub-neg_binary64_10983` `sqrt-prod_binary64_11006`
3×	`associate-/l_binary64_10935` `associate-/r_binary64_10934` `unswap-sqr_binary64_10958`
2×	`flip3-+_binary64_10993` `associate-/l/_binary64_10937` `flip-+_binary64_10964` `pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `associate-r/_binary64_10932` `-commutative_binary64_10921`
1×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024` `frac-2neg_binary64_11001` `clear-num_binary64_10989` `div-inv_binary64_10987` `flip3--_binary64_10994` `flip--_binary64_10965` `difference-of-squares_binary64_10959` `distribute-lft-out--_binary64_10942` `sum-log_binary64_11081` `+-commutative_binary64_10920`

Counts

4 → 100

Calls

4 calls:

8.0ms	(+.f64 (.f64 z (sqrt.f64 a)) (.f64 2/3 (-.f64 b c)))
8.0ms	(*.f64 2/3 (-.f64 b c))
7.0ms	(/.f64 (+.f64 (.f64 z (sqrt.f64 a)) (.f64 2/3 (-.f64 b c))) t)
6.0ms	(*.f64 z (sqrt.f64 a))

Compiler

Compiled 2973 to 1458 computations (51% saved)

series1.1s (4.6%)

Error

Counts

4 → 63

Calls

4 calls:

533.0ms	(/.f64 (+.f64 (.f64 z (sqrt.f64 a)) (.f64 2/3 (-.f64 b c))) t)
285.0ms	(+.f64 (.f64 z (sqrt.f64 a)) (.f64 2/3 (-.f64 b c)))
130.0ms	(*.f64 2/3 (-.f64 b c))
71.0ms	(*.f64 z (sqrt.f64 a))

Compiler

Compiled 3606 to 2910 computations (19.3% saved)

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4944	2299
1	4944	2299

prune207.0ms (0.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	163	4	167

Error

Counts

167 → 4

Compiler

Compiled 4035 to 2032 computations (49.6% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (cbrt.f64 (+.f64 x (.f64 (exp.f64 (.f64 (+.f64 5/6 a) (.f64 (-.f64 c b) 2))) y))) (cbrt.f64 (+.f64 x (.f64 (exp.f64 (.f64 (+.f64 5/6 a) (*.f64 (-.f64 c b) 2))) y))))
0.6b	(cbrt.f64 (+.f64 x (.f64 (exp.f64 (.f64 (+.f64 5/6 a) (*.f64 (-.f64 c b) 2))) y)))
0.6b	(cbrt.f64 (+.f64 x (.f64 (exp.f64 (.f64 (+.f64 5/6 a) (*.f64 (-.f64 c b) 2))) y)))
0.6b	(cbrt.f64 (+.f64 x (.f64 (exp.f64 (.f64 (+.f64 5/6 a) (*.f64 (-.f64 c b) 2))) y)))

rewrite413.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_11021`
23×	`add-sqr-sqrt_binary64_11012`
18×	`cbrt-div_binary64_11022`
15×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990`
11×	`pow1_binary64_11051`
9×	`pow1/3_binary64_11072` `flip3-+_binary64_10993` `flip-+_binary64_10964`
6×	`add-exp-log_binary64_11028` `swap-sqr_binary64_10957` `associate-l_binary64_10931` `associate-r_binary64_10930`
4×	`add-log-exp_binary64_11029` `add-cbrt-cube_binary64_11026` `frac-times_binary64_11000` `unswap-sqr_binary64_10958`
2×	`pow-prod-down_binary64_11061` `pow-prod-up_binary64_11060` `pow-sqr_binary64_10963` `associate-l/_binary64_10933` `associate-r/_binary64_10932`
1×	`pow2_binary64_11071` `pow-plus_binary64_11053` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `*-commutative_binary64_10921`

Counts

4 → 87

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (exp.f64 (.f64 (+.f64 5/6 a) (.f64 (-.f64 c b) 2))) y))) (cbrt.f64 (+.f64 x (.f64 (exp.f64 (.f64 (+.f64 5/6 a) (*.f64 (-.f64 c b) 2))) y))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 (exp.f64 (.f64 (+.f64 5/6 a) (*.f64 (-.f64 c b) 2))) y)))
2.0ms	(cbrt.f64 (+.f64 x (.f64 (exp.f64 (.f64 (+.f64 5/6 a) (*.f64 (-.f64 c b) 2))) y)))
2.0ms	(cbrt.f64 (+.f64 x (.f64 (exp.f64 (.f64 (+.f64 5/6 a) (*.f64 (-.f64 c b) 2))) y)))

Compiler

Compiled 6476 to 3924 computations (39.4% saved)

series6.8s (29.1%)

Error

Counts

4 → 84

Calls

4 calls:

3.1s	(.f64 (cbrt.f64 (+.f64 x (.f64 (exp.f64 (.f64 (+.f64 5/6 a) (.f64 (-.f64 c b) 2))) y))) (cbrt.f64 (+.f64 x (.f64 (exp.f64 (.f64 (+.f64 5/6 a) (*.f64 (-.f64 c b) 2))) y))))
1.2s	(cbrt.f64 (+.f64 x (.f64 (exp.f64 (.f64 (+.f64 5/6 a) (*.f64 (-.f64 c b) 2))) y)))
1.2s	(cbrt.f64 (+.f64 x (.f64 (exp.f64 (.f64 (+.f64 5/6 a) (*.f64 (-.f64 c b) 2))) y)))
1.1s	(cbrt.f64 (+.f64 x (.f64 (exp.f64 (.f64 (+.f64 5/6 a) (*.f64 (-.f64 c b) 2))) y)))

Compiler

Compiled 16694 to 12315 computations (26.2% saved)

simplify107.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4987	6437
1	4987	6437

prune597.0ms (2.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	171	4	175

Error

Counts

175 → 4

Compiler

Compiled 10241 to 6140 computations (40% saved)

regimes1.9s (8.3%)

Accuracy

Total 1.3b remaining (99.6%)

Threshold costs 0b (0%)

Compiler

Compiled 22625 to 19383 computations (14.3% saved)

bsearch7.0ms (0%)

Compiler: Compiled 24 to 23 computations (4.2% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	349	118
1	349	118

end0.0ms (0%)

sample4.2s (18%)

Algorithm

1×

intervals

Results

971.0ms	8000×	body	128	valid
581.0ms	4828×	body	128	nan

Compiler

Compiled 1916 to 1604 computations (16.3% saved)

Details

analyze2.4s (10.4%)

sample77.0ms (0.3%)

simplify52.0ms (0.2%)

prune5.0ms (0%)

localize27.0ms (0.1%)

rewrite347.0ms (1.5%)

series1.3s (5.7%)

simplify105.0ms (0.5%)

prune361.0ms (1.5%)

localize14.0ms (0.1%)

rewrite240.0ms (1%)

series2.3s (9.9%)

simplify97.0ms (0.4%)

prune272.0ms (1.2%)

localize20.0ms (0.1%)

rewrite185.0ms (0.8%)

series1.1s (4.6%)

simplify73.0ms (0.3%)

prune207.0ms (0.9%)

localize30.0ms (0.1%)

rewrite413.0ms (1.8%)

series6.8s (29.1%)

simplify107.0ms (0.5%)

prune597.0ms (2.6%)

regimes1.9s (8.3%)

bsearch7.0ms (0%)

simplify16.0ms (0.1%)

end0.0ms (0%)

sample4.2s (18%)

Profiling