Details

analyze4.2s (16.2%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	691	638
1	691	638
0	8	8
1	8	8

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14
0%	99.6%	0.4%	14

Symmetry

(sort x y)

(sort z t)

(sort a b)

(sort c i)

Compiler

Compiled 32 to 32 computations (0% saved)

sample2.9s (11.2%)

Algorithm

2×

intervals

Results

29.0ms	512×	body	128	valid
20.0ms	373×	body	128	invalid

Compiler

Compiled 7183 to 10767 computations (-49.9% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	67	22
1	67	22

prune3.0ms (0%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 30 to 30 computations (0% saved)

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

rewrite65.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-log-exp_binary64_3186`
10×	`sum-log_binary64_3238`
3×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `flip3-+_binary64_3150` `*-un-lft-identity_binary64_3147` `flip-+_binary64_3121` `+-commutative_binary64_3077`
2×	`associate-+l+_binary64_3080`

Counts

3 → 38

Calls

3 calls:

9.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
8.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 1006 to 161 computations (84% saved)

series1.4s (5.4%)

Error

0.0b

Counts

3 → 108

Calls

3 calls:

724.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
434.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
180.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 3266 to 2266 computations (30.6% saved)

simplify71.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5006	2201

prune115.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	143	3	146
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	143	4	147

Error

0.0b

Counts

147 → 4

Compiler

Compiled 2219 to 216 computations (90.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 x y))) (cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y))))
1.1b	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
1.1b	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
1.1b	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))

rewrite211.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_3178`
23×	`add-sqr-sqrt_binary64_3169`
18×	`cbrt-div_binary64_3179`
15×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
11×	`pow1_binary64_3208`
9×	`pow1/3_binary64_3229` `flip3-+_binary64_3150` `flip-+_binary64_3121`
6×	`add-exp-log_binary64_3185` `swap-sqr_binary64_3114` `associate-l_binary64_3088` `associate-r_binary64_3087`
4×	`add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183` `frac-times_binary64_3157` `unswap-sqr_binary64_3115`
2×	`pow-prod-down_binary64_3218` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120` `associate-l/_binary64_3090` `associate-r/_binary64_3089`
1×	`pow2_binary64_3228` `pow-plus_binary64_3210` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `*-commutative_binary64_3078`

Counts

4 → 87

Calls

4 calls:

16.0ms	(.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 x y))) (cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y))))
6.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
5.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
5.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))

Compiler

Compiled 5204 to 433 computations (91.7% saved)

series5.9s (22.7%)

Error

0.0b

Counts

4 → 144

Calls

4 calls:

2.0s	(.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 x y))) (cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y))))
1.2s	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
1.2s	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
1.1s	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))

Compiler

Compiled 27964 to 16135 computations (42.3% saved)

simplify96.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5159	9228

prune458.0ms (1.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	230	1	231
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	230	5	235

Error

0.0b

Counts

235 → 5

Compiler

Compiled 12446 to 2655 computations (78.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 t z) (.f64 x y))
0.3b	(.f64 (sqrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (sqrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
1.2b	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
1.2b	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

rewrite159.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-sqr-sqrt_binary64_3169`
24×	`sqrt-prod_binary64_3163`
21×	`pow1_binary64_3208`
16×	`sqrt-div_binary64_3164`
14×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
10×	`pow1/2_binary64_3227` `sqrt-pow1_binary64_3165`
9×	`flip3-+_binary64_3150` `flip-+_binary64_3121`
8×	`swap-sqr_binary64_3114`
6×	`add-log-exp_binary64_3186` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `associate-l_binary64_3088` `associate-r_binary64_3087`
5×	`pow-prod-up_binary64_3217`
4×	`rem-sqrt-square_binary64_3160` `frac-times_binary64_3157` `unswap-sqr_binary64_3115`
3×	`pow-prod-down_binary64_3218` `pow-sqr_binary64_3120`
2×	`associate-l/_binary64_3090` `associate-r/_binary64_3089`
1×	`pow2_binary64_3228` `pow-plus_binary64_3210` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `sqrt-unprod_binary64_3167` `sqr-abs_binary64_3162` `rem-square-sqrt_binary64_3159` `*-commutative_binary64_3078` `sum-log_binary64_3238` `+-commutative_binary64_3077`

Counts

4 → 99

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (sqrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
4.0ms	(+.f64 (.f64 t z) (.f64 x y))
4.0ms	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
4.0ms	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

Compiler

Compiled 3633 to 503 computations (86.2% saved)

series793.0ms (3.1%)

Error

0.0b

Counts

4 → 80

Calls

4 calls:

214.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (sqrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
202.0ms	(+.f64 (.f64 t z) (.f64 x y))
156.0ms	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
154.0ms	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

Compiler

Compiled 4776 to 2800 computations (41.4% saved)

simplify102.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4923	2397
1	4923	2397

prune182.0ms (0.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	179	5	184

Error

0.0b

Counts

184 → 5

Compiler

Compiled 4519 to 625 computations (86.2% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (+.f64 (.f64 x y) (.f64 t z)) 2)
0.6b	(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 t z)) 2)) (cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 x y))))
1.1b	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
23.9b	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 t z)) 2))

rewrite170.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

35×	`cbrt-prod_binary64_3178`
30×	`add-sqr-sqrt_binary64_3169`
14×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
11×	`unpow-prod-down_binary64_3226` `associate-l_binary64_3088`
10×	`unswap-sqr_binary64_3115`
7×	`pow1_binary64_3208` `add-exp-log_binary64_3185`
6×	`associate-r_binary64_3087`
5×	`unpow2_binary64_3212` `sqr-pow_binary64_3119`
4×	`pow1/3_binary64_3229` `add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183` `cbrt-div_binary64_3179`
3×	`pow-unpow_binary64_3224`
2×	`flip3-+_binary64_3150` `flip-+_binary64_3121` `pow-prod-down_binary64_3218` `associate-*r/_binary64_3089`
1×	`prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `*-commutative_binary64_3078` `pow-pow_binary64_3219` `pow-to-exp_binary64_3216` `pow-exp_binary64_3215`

Counts

4 → 88

Calls

4 calls:

15.0ms	(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 t z)) 2)) (cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 x y))))
6.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
5.0ms	(pow.f64 (+.f64 (.f64 x y) (.f64 t z)) 2)
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 t z)) 2))

Compiler

Compiled 3590 to 808 computations (77.5% saved)

series5.3s (20.6%)

Error

0.0b

Counts

4 → 130

Calls

4 calls:

2.8s	(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 t z)) 2)) (cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 x y))))
1.2s	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
566.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 t z)) 2))
495.0ms	(pow.f64 (+.f64 (.f64 x y) (.f64 t z)) 2)

Compiler

Compiled 19364 to 13147 computations (32.1% saved)

simplify91.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5138	8276

prune348.0ms (1.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	218	5	223

Error

0.0b

Counts

223 → 5

Compiler

Compiled 8593 to 2467 computations (71.3% saved)

regimes1.2s (4.5%)

Accuracy

Total 0.0b remaining (45.6%)

Threshold costs 0.0b (45.6%)

Compiler

Compiled 14251 to 9443 computations (33.7% saved)

bsearch0.0ms (0%)

simplify86.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	22
1	23	22

Remove

(sort c i)

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 120 to 120 computations (0% saved)

end0.0ms (0%)

sample2.0s (7.9%)

Algorithm

1×

intervals

Results

382.0ms	8000×	body	128	valid
267.0ms	5787×	body	128	invalid

Compiler

Compiled 974 to 650 computations (33.3% saved)

Details

analyze4.2s (16.2%)

sample2.9s (11.2%)

simplify7.0ms (0%)

prune3.0ms (0%)

localize12.0ms (0%)

rewrite65.0ms (0.3%)

series1.4s (5.4%)

simplify71.0ms (0.3%)

prune115.0ms (0.4%)

localize15.0ms (0.1%)

rewrite211.0ms (0.8%)

series5.9s (22.7%)

simplify96.0ms (0.4%)

prune458.0ms (1.8%)

localize14.0ms (0.1%)

rewrite159.0ms (0.6%)

series793.0ms (3.1%)

simplify102.0ms (0.4%)

prune182.0ms (0.7%)

localize18.0ms (0.1%)

rewrite170.0ms (0.7%)

series5.3s (20.6%)

simplify91.0ms (0.4%)

prune348.0ms (1.3%)

regimes1.2s (4.5%)

bsearch0.0ms (0%)

simplify86.0ms (0.3%)

end0.0ms (0%)

sample2.0s (7.9%)

Profiling