Details

analyze3.5s (12.3%)

Algorithm

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

Compiler

Compiled 68 to 60 computations (11.8% saved)

sample4.5s (15.8%)

Algorithm

2×

intervals

Results

65.0ms	527×	body	128	nan
50.0ms	512×	body	128	valid

Compiler

Compiled 18325 to 19935 computations (-8.8% saved)

simplify51.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5053	44

prune6.0ms (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

4.0b

Counts

2 → 1

Compiler

Compiled 58 to 50 computations (13.8% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 z (sqrt.f64 (+.f64 t a)))
0.3b	(/.f64 2/3 t)
2.6b	(-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
4.4b	(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)

rewrite337.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

35×	`add-sqr-sqrt_binary64_9648`
33×	`*-un-lft-identity_binary64_9626`
31×	`add-cube-cbrt_binary64_9661`
30×	`times-frac_binary64_9632` `associate--r+_binary64_9562`
27×	`cancel-sign-sub-inv_binary64_9592`
20×	`frac-sub_binary64_9635`
15×	`distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575`
13×	`add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
9×	`flip3--_binary64_9630` `flip--_binary64_9601`
8×	`associate-*r/_binary64_9568` `frac-times_binary64_9636`
7×	`associate-r_binary64_9566`
6×	`pow1_binary64_9687` `add-log-exp_binary64_9665` `associate-/r*_binary64_9570`
5×	`flip3-+_binary64_9629` `flip-+_binary64_9600` `sqrt-prod_binary64_9642`
4×	`div-inv_binary64_9623` `sqrt-div_binary64_9643` `associate-/l*_binary64_9571`
3×	`div-exp_binary64_9677` `cbrt-undiv_binary64_9660` `sub-neg_binary64_9619` `associate-l_binary64_9567`
2×	`prod-exp_binary64_9675` `cbrt-unprod_binary64_9659` `frac-2neg_binary64_9637` `clear-num_binary64_9625` `associate-/l/_binary64_9573` `associate-*l/_binary64_9569` `associate--l+_binary64_9563` `unswap-sqr_binary64_9594`
1×	`diff-log_binary64_9718` `pow-prod-down_binary64_9697` `distribute-lft-out_binary64_9577` `*-commutative_binary64_9557`

Counts

4 → 131

Calls

4 calls:

17.0ms	(-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
8.0ms	(*.f64 z (sqrt.f64 (+.f64 t a)))
8.0ms	(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)
3.0ms	(/.f64 2/3 t)

Compiler

Compiled 5521 to 2678 computations (51.5% saved)

series1.5s (5.3%)

Error

0.0b

Counts

4 → 53

Calls

4 calls:

1.0s	(-.f64 (/.f64 (.f64 z (sqrt.f64 (+.f64 t a))) t) (.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
188.0ms	(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)
159.0ms	(*.f64 z (sqrt.f64 (+.f64 t a)))
28.0ms	(/.f64 2/3 t)

Compiler

Compiled 4978 to 3621 computations (27.3% saved)

simplify77.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5622	4537

prune364.0ms (1.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	181	3	184
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	182	3	185

Error

Counts

185 → 3

Compiler

Compiled 6960 to 3489 computations (49.9% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 2/3 t)
1.6b	(log.f64 (exp.f64 (-.f64 (.f64 (/.f64 z t) (sqrt.f64 (+.f64 t a))) (.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))))
2.6b	(-.f64 (.f64 (/.f64 z t) (sqrt.f64 (+.f64 t a))) (.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
4.9b	(*.f64 (/.f64 z t) (sqrt.f64 (+.f64 t a)))

rewrite720.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

100×	`frac-sub_binary64_9635`
70×	`frac-times_binary64_9636`
60×	`sqrt-div_binary64_9643`
50×	`associate-*r/_binary64_9568`
47×	`add-sqr-sqrt_binary64_9648`
45×	`flip3-+_binary64_9629` `flip-+_binary64_9600`
41×	`flip3--_binary64_9630` `flip--_binary64_9601`
39×	`*-un-lft-identity_binary64_9626`
38×	`times-frac_binary64_9632`
37×	`add-cube-cbrt_binary64_9661`
30×	`associate--r+_binary64_9562`
28×	`cancel-sign-sub-inv_binary64_9592`
25×	`associate-*l/_binary64_9569`
15×	`distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575`
13×	`associate-l_binary64_9567`
11×	`add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
7×	`pow1_binary64_9687` `associate-r_binary64_9566`
6×	`add-log-exp_binary64_9665` `sqrt-prod_binary64_9642`
5×	`log-prod_binary64_9712`
4×	`unswap-sqr_binary64_9594` `div-inv_binary64_9623` `sub-neg_binary64_9619` `log-pow_binary64_9715`
3×	`exp-prod_binary64_9678` `associate-/l_binary64_9571` `associate-/r_binary64_9570`
2×	`div-exp_binary64_9677` `prod-exp_binary64_9675` `cbrt-unprod_binary64_9659` `cbrt-undiv_binary64_9660` `associate--l+_binary64_9563` `exp-sum_binary64_9672`
1×	`pow-prod-down_binary64_9697` `distribute-lft-out_binary64_9577` `*-commutative_binary64_9557` `diff-log_binary64_9718` `exp-diff_binary64_9674` `log-div_binary64_9713` `rem-log-exp_binary64_9667` `frac-2neg_binary64_9637` `clear-num_binary64_9625`

Counts

4 → 199

Calls

4 calls:

20.0ms	(-.f64 (.f64 (/.f64 z t) (sqrt.f64 (+.f64 t a))) (.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
13.0ms	(*.f64 (/.f64 z t) (sqrt.f64 (+.f64 t a)))
9.0ms	(log.f64 (exp.f64 (-.f64 (.f64 (/.f64 z t) (sqrt.f64 (+.f64 t a))) (.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))))
3.0ms	(/.f64 2/3 t)

Compiler

Compiled 11963 to 5779 computations (51.7% saved)

series4.8s (17.1%)

Error

Counts

4 → 60

Calls

4 calls:

3.5s	(log.f64 (exp.f64 (-.f64 (.f64 (/.f64 z t) (sqrt.f64 (+.f64 t a))) (.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))))
1.0s	(-.f64 (.f64 (/.f64 z t) (sqrt.f64 (+.f64 t a))) (.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
194.0ms	(*.f64 (/.f64 z t) (sqrt.f64 (+.f64 t a)))
29.0ms	(/.f64 2/3 t)

Compiler

Compiled 6476 to 4682 computations (27.7% saved)

simplify146.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

259 → 259

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4984	12643
1	4984	12643

prune733.0ms (2.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	258	1	259
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	259	3	262

Error

Counts

262 → 3

Compiler

Compiled 13352 to 6575 computations (50.8% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 2/3 (/.f64 c t)) (.f64 b (+.f64 a 5/6)))
0.3b	(*.f64 2/3 (/.f64 c t))
0.5b	(*.f64 2/3 (/.f64 b t))
4.5b	(-.f64 (+.f64 (.f64 2/3 (/.f64 b t)) (.f64 c (+.f64 a 5/6))) (+.f64 (.f64 2/3 (/.f64 c t)) (.f64 b (+.f64 a 5/6))))

rewrite399.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

46×	`associate-*r/_binary64_9568`
33×	`add-sqr-sqrt_binary64_9648`
26×	`associate-r_binary64_9566`
23×	`*-un-lft-identity_binary64_9626`
22×	`frac-add_binary64_9634`
21×	`add-cube-cbrt_binary64_9661`
20×	`flip3-+_binary64_9629` `flip-+_binary64_9600` `times-frac_binary64_9632`
18×	`add-log-exp_binary64_9665`
16×	`frac-sub_binary64_9635`
14×	`add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
8×	`pow1_binary64_9687`
6×	`associate-l_binary64_9567`
5×	`sum-log_binary64_9717`
4×	`diff-log_binary64_9718` `prod-exp_binary64_9675` `cbrt-unprod_binary64_9659` `unswap-sqr_binary64_9594`
3×	`cancel-sign-sub-inv_binary64_9592`
2×	`sub-div_binary64_9633` `pow-prod-down_binary64_9697` `div-exp_binary64_9677` `cbrt-undiv_binary64_9660` `div-inv_binary64_9623` `*-commutative_binary64_9557` `associate-+r+_binary64_9558`
1×	`flip3--_binary64_9630` `sub-neg_binary64_9619` `flip--_binary64_9601` `difference-of-squares_binary64_9595` `distribute-lft-out--_binary64_9578` `associate--l+_binary64_9563` `associate--r+_binary64_9562` `distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575` `+-commutative_binary64_9556`

Counts

4 → 118

Calls

4 calls:

18.0ms	(-.f64 (+.f64 (.f64 2/3 (/.f64 b t)) (.f64 c (+.f64 a 5/6))) (+.f64 (.f64 2/3 (/.f64 c t)) (.f64 b (+.f64 a 5/6))))
10.0ms	(*.f64 2/3 (/.f64 b t))
7.0ms	(+.f64 (.f64 2/3 (/.f64 c t)) (.f64 b (+.f64 a 5/6)))
7.0ms	(*.f64 2/3 (/.f64 c t))

Compiler

Compiled 6218 to 3798 computations (38.9% saved)

series1.5s (5.2%)

Error

Counts

4 → 60

Calls

4 calls:

782.0ms	(-.f64 (+.f64 (.f64 2/3 (/.f64 b t)) (.f64 c (+.f64 a 5/6))) (+.f64 (.f64 2/3 (/.f64 c t)) (.f64 b (+.f64 a 5/6))))
419.0ms	(+.f64 (.f64 2/3 (/.f64 c t)) (.f64 b (+.f64 a 5/6)))
90.0ms	(*.f64 2/3 (/.f64 b t))
85.0ms	(*.f64 2/3 (/.f64 c t))

Compiler

Compiled 4812 to 3665 computations (23.8% saved)

simplify88.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4981	5216
1	4981	5216

prune423.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	178	3	181

Error

Counts

181 → 3

Compiler

Compiled 7401 to 4405 computations (40.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 y (pow.f64 (exp.f64 2) (log.f64 (exp.f64 (.f64 (+.f64 a 5/6) (-.f64 c b))))))
0.0b	(+.f64 a 5/6)
0.2b	(*.f64 (+.f64 a 5/6) (-.f64 c b))
3.3b	(log.f64 (exp.f64 (*.f64 (+.f64 a 5/6) (-.f64 c b))))

rewrite222.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`add-sqr-sqrt_binary64_9648`
25×	`*-un-lft-identity_binary64_9626`
24×	`associate-r_binary64_9566`
23×	`log-prod_binary64_9712`
18×	`cancel-sign-sub-inv_binary64_9592`
17×	`add-cube-cbrt_binary64_9661`
16×	`exp-sum_binary64_9672`
12×	`distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575` `unpow-prod-up_binary64_9704`
10×	`add-exp-log_binary64_9664`
9×	`add-log-exp_binary64_9665`
8×	`add-cbrt-cube_binary64_9662`
7×	`pow1_binary64_9687` `associate-l_binary64_9567`
6×	`sub-neg_binary64_9619` `unswap-sqr_binary64_9594` `unpow-prod-down_binary64_9705`
4×	`log-pow_binary64_9715` `prod-exp_binary64_9675` `flip3-+_binary64_9629` `frac-times_binary64_9636` `flip-+_binary64_9600`
3×	`flip3--_binary64_9630` `flip--_binary64_9601`
2×	`sum-log_binary64_9717` `exp-to-pow_binary64_9688` `cbrt-unprod_binary64_9659` `associate-l/_binary64_9569` `associate-r/_binary64_9568` `distribute-lft-out_binary64_9577` `*-commutative_binary64_9557` `exp-lft-sqr_binary64_9681` `sqr-pow_binary64_9598`
1×	`exp-prod_binary64_9678` `rem-log-exp_binary64_9667` `pow-prod-down_binary64_9697` `difference-of-squares_binary64_9595` `distribute-lft-out--_binary64_9578` `+-commutative_binary64_9556` `pow-to-exp_binary64_9695` `pow-exp_binary64_9694`

Counts

4 → 111

Calls

4 calls:

11.0ms	(.f64 y (pow.f64 (exp.f64 2) (log.f64 (exp.f64 (.f64 (+.f64 a 5/6) (-.f64 c b))))))
10.0ms	(*.f64 (+.f64 a 5/6) (-.f64 c b))
4.0ms	(log.f64 (exp.f64 (*.f64 (+.f64 a 5/6) (-.f64 c b))))
3.0ms	(+.f64 a 5/6)

Compiler

Compiled 3102 to 1973 computations (36.4% saved)

series2.8s (9.8%)

Error

Counts

4 → 55

Calls

4 calls:

1.5s	(.f64 y (pow.f64 (exp.f64 2) (log.f64 (exp.f64 (.f64 (+.f64 a 5/6) (-.f64 c b))))))
915.0ms	(log.f64 (exp.f64 (*.f64 (+.f64 a 5/6) (-.f64 c b))))
211.0ms	(*.f64 (+.f64 a 5/6) (-.f64 c b))
33.0ms	(+.f64 a 5/6)

Compiler

Compiled 4623 to 3907 computations (15.5% saved)

simplify85.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4945	3114
1	4945	3114

prune247.0ms (0.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	166	3	169

Error

Counts

169 → 3

Compiler

Compiled 4058 to 2542 computations (37.4% saved)

regimes1.8s (6.5%)

Accuracy

Total 1.4b remaining (99.3%)

Threshold costs 0b (0%)

Compiler

Compiled 22160 to 18986 computations (14.3% saved)

bsearch5.0ms (0%)

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

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	375	114
1	375	114

end0.0ms (0%)

sample3.9s (13.8%)

Algorithm

1×

intervals

Results

1.0s	8105×	body	128	nan
779.0ms	8000×	body	128	valid

Compiler

Compiled 1844 to 1550 computations (15.9% saved)

Details

analyze3.5s (12.3%)

sample4.5s (15.8%)

simplify51.0ms (0.2%)

prune6.0ms (0%)

localize23.0ms (0.1%)

rewrite337.0ms (1.2%)

series1.5s (5.3%)

simplify77.0ms (0.3%)

prune364.0ms (1.3%)

localize24.0ms (0.1%)

rewrite720.0ms (2.5%)

series4.8s (17.1%)

simplify146.0ms (0.5%)

prune733.0ms (2.6%)

localize22.0ms (0.1%)

rewrite399.0ms (1.4%)

series1.5s (5.2%)

simplify88.0ms (0.3%)

prune423.0ms (1.5%)

localize15.0ms (0.1%)

rewrite222.0ms (0.8%)

series2.8s (9.8%)

simplify85.0ms (0.3%)

prune247.0ms (0.9%)

regimes1.8s (6.5%)

bsearch5.0ms (0%)

simplify10.0ms (0%)

end0.0ms (0%)

sample3.9s (13.8%)

Profiling