Details

analyze988.0ms (13.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	314	70
1	314	70
0	4	4
1	4	4

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
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 8 to 8 computations (0% saved)

sample34.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	47×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	158	10
1	158	10

prune8.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))

rewrite19.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_3527`
1×	`diff-log_binary64_3580` `pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `flip3--_binary64_3492` `*-un-lft-identity_binary64_3488` `sub-neg_binary64_3481` `flip--_binary64_3463` `cancel-sign-sub-inv_binary64_3454`

Counts

1 → 12

Calls

1 calls:

6.0ms

(-.f64 (*.f64 x y) (*.f64 z t))

Compiler

Compiled 187 to 46 computations (75.4% saved)

series217.0ms (3%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

206.0ms

(-.f64 (*.f64 x y) (*.f64 z t))

Compiler

Compiled 348 to 259 computations (25.6% saved)

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4946	379
1	4946	379

prune25.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Error

0.0b

Counts

37 → 2

Compiler

Compiled 320 to 51 computations (84.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 t z))) (cbrt.f64 (-.f64 (.f64 x y) (*.f64 t z))))
0.5b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 t z)))
0.5b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 t z)))
0.5b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 t z)))

rewrite151.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_3519`
23×	`add-sqr-sqrt_binary64_3510`
18×	`cbrt-div_binary64_3520`
15×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
11×	`pow1_binary64_3549`
9×	`pow1/3_binary64_3570` `flip3--_binary64_3492` `flip--_binary64_3463`
6×	`add-exp-log_binary64_3526` `swap-sqr_binary64_3455` `associate-l_binary64_3429` `associate-r_binary64_3428`
4×	`add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524` `frac-times_binary64_3498` `unswap-sqr_binary64_3456`
2×	`pow-prod-down_binary64_3559` `pow-prod-up_binary64_3558` `pow-sqr_binary64_3461` `associate-l/_binary64_3431` `associate-r/_binary64_3430`
1×	`pow2_binary64_3569` `pow-plus_binary64_3551` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `*-commutative_binary64_3419`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 t z))) (cbrt.f64 (-.f64 (.f64 x y) (*.f64 t z))))
3.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 t z)))
3.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 t z)))
3.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 t z)))

Compiler

Compiled 3392 to 341 computations (89.9% saved)

series1.9s (26.4%)

Error

0.0b

Counts

4 → 83

Calls

4 calls:

670.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 t z))) (cbrt.f64 (-.f64 (.f64 x y) (*.f64 t z))))
369.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 t z)))
365.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 t z)))
361.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 t z)))

Compiler

Compiled 9235 to 5772 computations (37.5% saved)

simplify103.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4975	4533
1	4975	4533

prune230.0ms (3.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	169	1	170
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	169	3	172

Error

0.0b

Counts

172 → 3

Compiler

Compiled 5748 to 1158 computations (79.9% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 t z)))
0.5b	(cbrt.f64 (-.f64 (.f64 y x) (.f64 t z)))
0.6b	(cbrt.f64 (cbrt.f64 (-.f64 (.f64 y x) (.f64 t z))))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 y x) (.f64 t z)))) 4)

rewrite139.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`cbrt-prod_binary64_3519`
12×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
9×	`unpow-prod-down_binary64_3567`
8×	`cbrt-div_binary64_3520`
5×	`pow1_binary64_3549` `add-exp-log_binary64_3526`
4×	`pow1/3_binary64_3570` `add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524`
3×	`pow-unpow_binary64_3565` `flip3--_binary64_3492` `flip--_binary64_3463`
2×	`pow-pow_binary64_3560`
1×	`pow-to-exp_binary64_3557` `pow-exp_binary64_3556` `sqr-pow_binary64_3460`

Counts

4 → 66

Calls

4 calls:

6.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 y x) (.f64 t z)))) 4)
5.0ms	(cbrt.f64 (cbrt.f64 (-.f64 (.f64 y x) (.f64 t z))))
4.0ms	(cbrt.f64 (-.f64 (.f64 y x) (.f64 t z)))
3.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 t z)))

Compiler

Compiled 3280 to 505 computations (84.6% saved)

series2.1s (28.8%)

Error

0.0b

Counts

4 → 65

Calls

4 calls:

955.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 y x) (.f64 t z)))) 4)
383.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 t z)))
342.0ms	(cbrt.f64 (-.f64 (.f64 y x) (.f64 t z)))
285.0ms	(cbrt.f64 (cbrt.f64 (-.f64 (.f64 y x) (.f64 t z))))

Compiler

Compiled 9406 to 4829 computations (48.7% saved)

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5001	2857

prune226.0ms (3.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	131	3	134

Error

0.0b

Counts

134 → 3

Compiler

Compiled 5944 to 1278 computations (78.5% saved)

regimes203.0ms (2.8%)

Accuracy

Total 0.0b remaining (22.6%)

Threshold costs 0.0b (22.6%)

Compiler

Compiled 1889 to 1137 computations (39.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	10
1	36	10

end24.0ms (0.3%)

Remove

(sort z t)

(sort x y)

Compiler

Compiled 35 to 35 computations (0% saved)

sample674.0ms (9.4%)

Algorithm

1×

intervals

Results

216.0ms	8000×	body	128	valid
31.0ms	1305×	body	128	invalid

Compiler

Compiled 87 to 54 computations (37.9% saved)

Details

analyze988.0ms (13.7%)

sample34.0ms (0.5%)

simplify13.0ms (0.2%)

prune8.0ms (0.1%)

localize6.0ms (0.1%)

rewrite19.0ms (0.3%)

series217.0ms (3%)

simplify67.0ms (0.9%)

prune25.0ms (0.3%)

localize10.0ms (0.1%)

rewrite151.0ms (2.1%)

series1.9s (26.4%)

simplify103.0ms (1.4%)

prune230.0ms (3.2%)

localize22.0ms (0.3%)

rewrite139.0ms (1.9%)

series2.1s (28.8%)

simplify67.0ms (0.9%)

prune226.0ms (3.1%)

regimes203.0ms (2.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end24.0ms (0.3%)

sample674.0ms (9.4%)

Profiling