Details

analyze776.0ms (17.5%)

Algorithm

1×

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
5.8%	94%	0.2%	9
7.6%	92.2%	0.2%	10
11.6%	88.2%	0.2%	11
18.5%	81.3%	0.2%	12
32.3%	66.9%	0.8%	13
37%	62.2%	0.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample26.0ms (0.6%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
1.0ms	38×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify272.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (175.0ms)

Iter	Nodes	Cost
0	4367	7
1	4367	7

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

7.5b

Counts

2 → 2

Compiler

Compiled 19 to 20 computations (-5.3% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

7.3b	(*.f64 x (/.f64 y z))
7.3b	(*.f64 x (/.f64 y z))

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_17832`
13×	`associate-r_binary64_17750`
10×	`times-frac_binary64_17816`
9×	`*-un-lft-identity_binary64_17810` `add-cube-cbrt_binary64_17845`
6×	`add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846`
3×	`associate-l_binary64_17751` `pow1_binary64_17871`
2×	`cbrt-unprod_binary64_17843` `unswap-sqr_binary64_17778` `prod-exp_binary64_17859`
1×	`pow-prod-down_binary64_17881` `div-inv_binary64_17807` `-commutative_binary64_17741` `div-exp_binary64_17861` `add-log-exp_binary64_17849` `associate-r/_binary64_17752` `cbrt-undiv_binary64_17844`

Counts

1 → 32

Calls

2 calls:

7.0ms	(*.f64 x (/.f64 y z))
0.0ms	(*.f64 x (/.f64 y z))

series102.0ms (2.3%)

Counts

1 → 9

Calls

1 calls:

102.0ms

(*.f64 x (/.f64 y z))

Compiler

Compiled 90 to 108 computations (-20% saved)

simplify93.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4985	390
1	4985	390

prune46.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	32	9	41
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	33	10	43

Error

0.0b

Counts

43 → 10

Compiler

Compiled 461 to 164 computations (64.4% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

4.4b	(/.f64 (*.f64 x y) z)
4.4b	(/.f64 (*.f64 x y) z)

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846`
3×	`add-sqr-sqrt_binary64_17832` `associate-/r_binary64_17754` `-un-lft-identity_binary64_17810` `add-cube-cbrt_binary64_17845` `times-frac_binary64_17816`
2×	`div-exp_binary64_17861` `cbrt-undiv_binary64_17844`
1×	`cbrt-unprod_binary64_17843` `prod-exp_binary64_17859` `clear-num_binary64_17809` `div-inv_binary64_17807` `associate-/l*_binary64_17755` `add-log-exp_binary64_17849` `pow1_binary64_17871` `frac-2neg_binary64_17821`

Counts

1 → 21

Calls

2 calls:

4.0ms	(/.f64 (*.f64 x y) z)
0.0ms	(/.f64 (*.f64 x y) z)

series101.0ms (2.3%)

Counts

1 → 9

Calls

1 calls:

101.0ms

(/.f64 (*.f64 x y) z)

Compiler

Compiled 90 to 108 computations (-20% saved)

simplify104.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4671	261
1	4671	261

prune26.0ms (0.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	26	4	30
Fresh	3	5	8
Picked	0	1	1
Done	1	0	1
Total	30	10	40

Error

0.0b

Counts

40 → 10

Compiler

Compiled 311 to 126 computations (59.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

4.5b	(.f64 (.f64 x y) (/.f64 1 z))
4.5b	(.f64 (.f64 x y) (/.f64 1 z))

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-exp-log_binary64_17848`
13×	`associate-r_binary64_17750` `add-cbrt-cube_binary64_17846`
12×	`prod-exp_binary64_17859`
9×	`times-frac_binary64_17816`
8×	`add-sqr-sqrt_binary64_17832` `*-un-lft-identity_binary64_17810` `add-cube-cbrt_binary64_17845`
6×	`cbrt-unprod_binary64_17843` `pow1_binary64_17871`
4×	`div-exp_binary64_17861`
3×	`pow-prod-down_binary64_17881`
2×	`1-exp_binary64_17854` `cbrt-undiv_binary64_17844` `rec-exp_binary64_17860`
1×	`div-inv_binary64_17807` `-commutative_binary64_17741` `un-div-inv_binary64_17808` `add-log-exp_binary64_17849` `associate-r/_binary64_17752` `associate-l_binary64_17751`

Counts

1 → 38

Calls

2 calls:

8.0ms	(.f64 (.f64 x y) (/.f64 1 z))
0.0ms	(.f64 (.f64 x y) (/.f64 1 z))

series99.0ms (2.2%)

Counts

1 → 9

Calls

1 calls:

99.0ms

(*.f64 (*.f64 x y) (/.f64 1 z))

Compiler

Compiled 90 to 108 computations (-20% saved)

simplify85.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4964	423
1	4964	423

prune32.0ms (0.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	48	9	57

Error

0.0b

Counts

57 → 9

Compiler

Compiled 475 to 193 computations (59.4% saved)

localize8.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.6b	(cbrt.f64 z)
0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.2b	(/.f64 y (cbrt.f64 z))
0.2b	(/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
4.1b	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64_17832`
28×	`times-frac_binary64_17816`
25×	`add-exp-log_binary64_17848`
22×	`-un-lft-identity_binary64_17810` `associate-r*_binary64_17750` `add-cube-cbrt_binary64_17845`
20×	`cbrt-prod_binary64_17841`
18×	`add-cbrt-cube_binary64_17846`
8×	`cbrt-unprod_binary64_17843` `prod-exp_binary64_17859`
7×	`div-exp_binary64_17861` `cbrt-undiv_binary64_17844` `associate-l_binary64_17751`
6×	`unswap-sqr_binary64_17778` `pow1_binary64_17871`
4×	`add-log-exp_binary64_17849`
3×	`pow1/3_binary64_17892`
2×	`div-inv_binary64_17807`
1×	`pow-prod-down_binary64_17881` `-commutative_binary64_17741` `associate-l/_binary64_17753` `associate-*r/_binary64_17752` `frac-times_binary64_17820`

Counts

4 → 92

Calls

8 calls:

16.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
0.0ms	(/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))

series363.0ms (8.2%)

Counts

4 → 18

Calls

4 calls:

128.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
82.0ms	(cbrt.f64 z)
80.0ms	(cbrt.f64 z)
72.0ms	(cbrt.f64 z)

Compiler

Compiled 368 to 350 computations (4.9% saved)

simplify74.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4976	1251
1	4976	1251

prune77.0ms (1.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	2	4	6
Picked	1	0	1
Done	0	2	2
Total	112	7	119

Error

0.0b

Counts

119 → 7

Compiler

Compiled 1543 to 433 computations (71.9% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	117	454
1	117	454

regimes580.0ms (13.1%)

Compiler: Compiled 2230 to 1892 computations (15.2% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

regimes157.0ms (3.5%)

Compiler: Compiled 178 to 308 computations (-73% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

regimes80.0ms (1.8%)

Compiler: Compiled 60 to 140 computations (-133.3% saved)

bsearch61.0ms (1.4%)

Steps

Iters	Range	Point
9	5.977939648266661e+157	5.378837495934571e+164	8.926094127391968e+162
8	-2.993621809938101e-211	-1.1291045998849619e-213	-1.3557895013828875e-211
9	-9.209094815575189e+158	-5.201779273842002e+149	-3.3691295266296924e+156

Iters

Range

Point

5.977939648266661e+157

5.378837495934571e+164

8.926094127391968e+162

-2.993621809938101e-211

-1.1291045998849619e-213

-1.3557895013828875e-211

-9.209094815575189e+158

-5.201779273842002e+149

-3.3691295266296924e+156

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes41.0ms (0.9%)

Compiler: Compiled 40 to 116 computations (-190% saved)

bsearch0.0ms (0%)

regimes36.0ms (0.8%)

Accuracy

Total 0.3b remaining (99.4%)

Threshold costs 0.3b (99.4%)

Compiler

Compiled 20 to 92 computations (-360% saved)

bsearch6.0ms (0.1%)

Compiler: Compiled 139 to 82 computations (41% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	188
1	52	188

end0.0ms (0%)

sample1.1s (24.7%)

Algorithm

1×

intervals

Results

281.0ms	8000×	body	128	valid
57.0ms	1503×	body	128	invalid

Compiler

Compiled 493 to 355 computations (28% saved)

Pareto

0.7665214434708659

Details

analyze776.0ms (17.5%)

sample26.0ms (0.6%)

simplify272.0ms (6.1%)

prune4.0ms (0.1%)

localize4.0ms (0.1%)

rewrite10.0ms (0.2%)

series102.0ms (2.3%)

simplify93.0ms (2.1%)

prune46.0ms (1%)

localize4.0ms (0.1%)

rewrite6.0ms (0.1%)

series101.0ms (2.3%)

simplify104.0ms (2.4%)

prune26.0ms (0.6%)

localize5.0ms (0.1%)

rewrite11.0ms (0.3%)

series99.0ms (2.2%)

simplify85.0ms (1.9%)

prune32.0ms (0.7%)

localize8.0ms (0.2%)

rewrite27.0ms (0.6%)

series363.0ms (8.2%)

simplify74.0ms (1.7%)

prune77.0ms (1.8%)

simplify9.0ms (0.2%)

regimes580.0ms (13.1%)

bsearch1.0ms (0%)

regimes157.0ms (3.5%)

bsearch1.0ms (0%)

regimes80.0ms (1.8%)

bsearch61.0ms (1.4%)

regimes41.0ms (0.9%)

bsearch0.0ms (0%)

regimes36.0ms (0.8%)

bsearch6.0ms (0.1%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.1s (24.7%)

Profiling