Details

analyze2.0s (2.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	256
1	121	256
0	6	6
1	6	6

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
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

Symmetry

(sort x y)

(sort z t)

(sort a b)

Compiler

Compiled 12 to 12 computations (0% saved)

sample1.7s (2.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
7.0ms	126×	body	128	invalid

Compiler

Compiled 4607 to 6905 computations (-49.9% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

prune2.0ms (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 22 to 22 computations (0% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

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

rewrite35.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-log-exp_binary64_3186`
4×	`sum-log_binary64_3238`
2×	`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`
1×	`associate-+l+_binary64_3080`

Counts

2 → 24

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 510 to 94 computations (81.6% saved)

series639.0ms (0.9%)

Error

0.0b

Counts

2 → 60

Calls

2 calls:

401.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
208.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 1314 to 920 computations (30% saved)

simplify70.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5019	1056

prune59.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	4	85

Error

0.0b

Counts

85 → 4

Compiler

Compiled 1024 to 137 computations (86.6% saved)

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b)))
0.1b	(sqrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b))))
0.1b	(sqrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b))))
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (.f64 a b)))) (sqrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b)))))

rewrite186.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

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×	`add-log-exp_binary64_3186` `flip3-+_binary64_3150` `flip-+_binary64_3121`
8×	`swap-sqr_binary64_3114`
6×	`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` `sum-log_binary64_3238`
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` `associate-+r+_binary64_3079` `+-commutative_binary64_3077`

Counts

4 → 101

Calls

4 calls:

20.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (.f64 a b)))) (sqrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b)))))
6.0ms	(+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b)))
6.0ms	(sqrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b))))
6.0ms	(sqrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b))))

Compiler

Compiled 4107 to 338 computations (91.8% saved)

series1.7s (2.3%)

Error

0.0b

Counts

4 → 128

Calls

4 calls:

450.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (.f64 a b)))) (sqrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b)))))
444.0ms	(+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b)))
360.0ms	(sqrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b))))
355.0ms	(sqrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 t z) (*.f64 a b))))

Compiler

Compiled 7600 to 3788 computations (50.2% saved)

simplify110.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4948	4751
1	4948	4751

prune208.0ms (0.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	228	1	229
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	228	5	233

Error

Counts

233 → 5

Compiler

Compiled 5795 to 666 computations (88.5% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 x y)))) 4) (cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y))))
0.2b	(cbrt.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y))))
0.5b	(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))) 4)
0.6b	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))

rewrite197.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

35×	`add-sqr-sqrt_binary64_3169`
33×	`cbrt-prod_binary64_3178`
24×	`unpow-prod-down_binary64_3226`
17×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
13×	`associate-l_binary64_3088`
11×	`sqrt-prod_binary64_3163`
10×	`add-exp-log_binary64_3185` `unswap-sqr_binary64_3115`
6×	`cbrt-div_binary64_3179` `associate-r_binary64_3087`
5×	`pow1_binary64_3208` `add-cbrt-cube_binary64_3183`
4×	`add-log-exp_binary64_3186` `sqr-pow_binary64_3119`
3×	`pow1/3_binary64_3229` `flip3-+_binary64_3150` `flip-+_binary64_3121` `pow-unpow_binary64_3224` `prod-exp_binary64_3196`
2×	`pow-pow_binary64_3219` `pow-to-exp_binary64_3216` `pow-exp_binary64_3215` `sqrt-div_binary64_3164` `associate-*r/_binary64_3089`
1×	`cbrt-unprod_binary64_3180` `*-commutative_binary64_3078`

Counts

4 → 96

Calls

4 calls:

18.0ms	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 x y)))) 4) (cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y))))
8.0ms	(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))) 4)
6.0ms	(cbrt.f64 (sqrt.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 4362 to 650 computations (85.1% saved)

series11.1s (15.1%)

Error

Counts

4 → 158

Calls

4 calls:

7.8s	(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))) 4)
1.3s	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
1.1s	(cbrt.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y))))
469.0ms	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 x y)))) 4) (cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y))))

Compiler

Compiled 21606 to 14149 computations (34.5% saved)

simplify130.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

254 → 254

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5576	12640

prune480.0ms (0.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	254	0	254
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	254	5	259

Error

Counts

259 → 5

Compiler

Compiled 11385 to 3404 computations (70.1% saved)

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

1.2b	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 t (.f64 z (-.f64 (.f64 t z) (*.f64 x y)))))
2.1b	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 t z) 3))
4.5b	(.f64 t (.f64 z (-.f64 (.f64 t z) (.f64 x y))))
35.8b	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 t z) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 t (.f64 z (-.f64 (.f64 t z) (*.f64 x y))))))

rewrite230.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`*-un-lft-identity_binary64_3147`
16×	`distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096`
15×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `times-frac_binary64_3153`
11×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
9×	`pow1_binary64_3208`
8×	`add-log-exp_binary64_3186` `sub-neg_binary64_3140` `cancel-sign-sub-inv_binary64_3113` `associate-+r+_binary64_3079`
5×	`sum-cubes_binary64_3148` `distribute-lft-out_binary64_3098` `associate-/l*_binary64_3092`
4×	`flip3-+_binary64_3150` `flip-+_binary64_3121` `associate-*r/_binary64_3089`
3×	`associate-/r_binary64_3091` `pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `associate-l*_binary64_3088`
2×	`associate-/l/_binary64_3094` `associate-/r/_binary64_3093` `sum-log_binary64_3238` `+-commutative_binary64_3077`
1×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `div-inv_binary64_3144` `flip3--_binary64_3151` `flip--_binary64_3122` `associate-r_binary64_3087` `*-commutative_binary64_3078`

Counts

4 → 99

Calls

4 calls:

17.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 t z) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 t (.f64 z (-.f64 (.f64 t z) (*.f64 x y))))))
9.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 t (.f64 z (-.f64 (.f64 t z) (*.f64 x y)))))
9.0ms	(.f64 t (.f64 z (-.f64 (.f64 t z) (.f64 x y))))
8.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 t z) 3))

Compiler

Compiled 5199 to 1189 computations (77.1% saved)

series3.6s (4.9%)

Error

Counts

4 → 108

Calls

4 calls:

1.2s	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 t z) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 t (.f64 z (-.f64 (.f64 t z) (*.f64 x y))))))
877.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 t z) 3))
870.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 t (.f64 z (-.f64 (.f64 t z) (*.f64 x y)))))
464.0ms	(.f64 t (.f64 z (-.f64 (.f64 t z) (.f64 x y))))

Compiler

Compiled 7584 to 4587 computations (39.5% saved)

simplify93.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5066	5233

prune298.0ms (0.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	207	0	207
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	207	5	212

Error

Counts

212 → 5

Compiler

Compiled 7452 to 1994 computations (73.2% saved)

regimes482.0ms (0.7%)

Accuracy

Total 0.0b remaining (41.4%)

Threshold costs 0.0b (41.4%)

Compiler

Compiled 5093 to 3509 computations (31.1% saved)

bsearch0.0ms (0%)

simplify50.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	16
1	17	16

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 66 to 66 computations (0% saved)

end0.0ms (0%)

sample50.0s (68.1%)

Algorithm

1×

intervals

Results

285.0ms	8000×	body	128	valid
233.0ms	3942×	body	128	invalid

Compiler

Compiled 143784 to 215290 computations (-49.7% saved)

Details

analyze2.0s (2.7%)

sample1.7s (2.3%)

simplify7.0ms (0%)

prune2.0ms (0%)

localize8.0ms (0%)

rewrite35.0ms (0%)

series639.0ms (0.9%)

simplify70.0ms (0.1%)

prune59.0ms (0.1%)

localize11.0ms (0%)

rewrite186.0ms (0.3%)

series1.7s (2.3%)

simplify110.0ms (0.1%)

prune208.0ms (0.3%)

localize15.0ms (0%)

rewrite197.0ms (0.3%)

series11.1s (15.1%)

simplify130.0ms (0.2%)

prune480.0ms (0.7%)

localize21.0ms (0%)

rewrite230.0ms (0.3%)

series3.6s (4.9%)

simplify93.0ms (0.1%)

prune298.0ms (0.4%)

regimes482.0ms (0.7%)

bsearch0.0ms (0%)

simplify50.0ms (0.1%)

end0.0ms (0%)

sample50.0s (68.1%)

Profiling