Details

analyze674.0ms (14.2%)

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

Compiler

Compiled 8 to 8 computations (0% saved)

sample39.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	50×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	158	10
1	158	10

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 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_2504`
1×	`diff-log_binary64_2557` `pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `flip3--_binary64_2469` `*-un-lft-identity_binary64_2465` `sub-neg_binary64_2458` `flip--_binary64_2440` `cancel-sign-sub-inv_binary64_2431`

Counts

1 → 12

Calls

1 calls:

4.0ms

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

Compiler

Compiled 187 to 46 computations (75.4% saved)

series145.0ms (3%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

134.0ms

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

Compiler

Compiled 348 to 259 computations (25.6% saved)

simplify68.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4946	379
1	4946	379

prune21.0ms (0.4%)

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 311 to 50 computations (83.9% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 t z))
0.2b	(.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 t z))) (sqrt.f64 (-.f64 (.f64 x y) (*.f64 t z))))
1.3b	(sqrt.f64 (-.f64 (.f64 x y) (.f64 t z)))
1.3b	(sqrt.f64 (-.f64 (.f64 x y) (.f64 t z)))

rewrite115.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-sqr-sqrt_binary64_2487`
24×	`sqrt-prod_binary64_2481`
21×	`pow1_binary64_2526`
16×	`sqrt-div_binary64_2482`
14×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
10×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483`
9×	`flip3--_binary64_2469` `flip--_binary64_2440`
8×	`swap-sqr_binary64_2432`
6×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `associate-l_binary64_2406` `associate-r_binary64_2405`
5×	`pow-prod-up_binary64_2535`
4×	`rem-sqrt-square_binary64_2478` `frac-times_binary64_2475` `unswap-sqr_binary64_2433`
3×	`pow-prod-down_binary64_2536` `pow-sqr_binary64_2438`
2×	`associate-l/_binary64_2408` `associate-r/_binary64_2407`
1×	`pow2_binary64_2546` `pow-plus_binary64_2528` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `sqrt-unprod_binary64_2485` `sqr-abs_binary64_2480` `rem-square-sqrt_binary64_2477` `*-commutative_binary64_2396` `diff-log_binary64_2557` `sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431`

Counts

4 → 100

Calls

4 calls:

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

Compiler

Compiled 2860 to 329 computations (88.5% saved)

series590.0ms (12.4%)

Error

0.0b

Counts

4 → 78

Calls

4 calls:

161.0ms	(-.f64 (.f64 x y) (.f64 t z))
153.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 t z))) (sqrt.f64 (-.f64 (.f64 x y) (*.f64 t z))))
117.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 t z)))
117.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 t z)))

Compiler

Compiled 3196 to 1730 computations (45.9% saved)

simplify105.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4923	2454
1	4923	2454

prune110.0ms (2.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	177	1	178
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	177	3	180

Error

Counts

180 → 3

Compiler

Compiled 3101 to 374 computations (87.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 t z)))) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x y) (*.f64 t z)))) 3))
0.4b	(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 t z)))) 3)
1.3b	(sqrt.f64 (-.f64 (.f64 x y) (.f64 t z)))
1.3b	(sqrt.f64 (-.f64 (.f64 x y) (.f64 t z)))

rewrite219.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

93×	`sqrt-prod_binary64_2481`
70×	`add-sqr-sqrt_binary64_2487`
32×	`sqrt-div_binary64_2482`
27×	`unpow-prod-down_binary64_2544` `cube-prod_binary64_2493`
24×	`unswap-sqr_binary64_2433` `associate-r_binary64_2405`
23×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
10×	`pow1_binary64_2526` `add-exp-log_binary64_2503`
9×	`flip3--_binary64_2469` `flip--_binary64_2440` `associate-l_binary64_2406`
8×	`cube-div_binary64_2494`
7×	`add-cbrt-cube_binary64_2501`
6×	`sqrt-pow1_binary64_2483`
5×	`pow-pow_binary64_2537` `sqr-pow_binary64_2437`
4×	`pow1/2_binary64_2545` `add-log-exp_binary64_2504` `frac-times_binary64_2475`
3×	`pow-unpow_binary64_2542` `prod-exp_binary64_2514`
2×	`rem-sqrt-square_binary64_2478` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `unpow3_binary64_2531` `cube-mult_binary64_2495` `associate-l/_binary64_2408` `associate-r/_binary64_2407`
1×	`rem-cube-cbrt_binary64_2488` `sqrt-pow2_binary64_2484` `pow-prod-up_binary64_2535` `cbrt-unprod_binary64_2498` `*-commutative_binary64_2396`

Counts

4 → 150

Calls

4 calls:

22.0ms	(.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 t z)))) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x y) (*.f64 t z)))) 3))
7.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 t z)))) 3)
4.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 t z)))
4.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 t z)))

Compiler

Compiled 5486 to 1029 computations (81.2% saved)

series1.0s (21.3%)

Error

Counts

4 → 72

Calls

4 calls:

577.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 t z)))) 3)
148.0ms	(.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x y) (.f64 t z)))) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x y) (*.f64 t z)))) 3))
119.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 t z)))
117.0ms	(sqrt.f64 (-.f64 (.f64 x y) (.f64 t z)))

Compiler

Compiled 4353 to 2901 computations (33.4% saved)

simplify79.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5029	4418

prune166.0ms (3.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	222	0	222
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	222	3	225

Error

Counts

225 → 3

Compiler

Compiled 5155 to 1032 computations (80% saved)

regimes150.0ms (3.1%)

Accuracy

Total 0.0b remaining (30.3%)

Threshold costs 0.0b (30.3%)

Compiler

Compiled 1126 to 850 computations (24.5% saved)

bsearch0.0ms (0%)

simplify22.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	10
1	36	10

Compiler

Compiled 28 to 28 computations (0% saved)

end0.0ms (0%)

sample1.2s (25%)

Algorithm

1×

intervals

Results

215.0ms	8000×	body	128	valid
34.0ms	1382×	body	128	invalid

Compiler

Compiled 171 to 131 computations (23.4% saved)

Details

analyze674.0ms (14.2%)

sample39.0ms (0.8%)

simplify14.0ms (0.3%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite13.0ms (0.3%)

series145.0ms (3%)

simplify68.0ms (1.4%)

prune21.0ms (0.4%)

localize8.0ms (0.2%)

rewrite115.0ms (2.4%)

series590.0ms (12.4%)

simplify105.0ms (2.2%)

prune110.0ms (2.3%)

localize10.0ms (0.2%)

rewrite219.0ms (4.6%)

series1.0s (21.3%)

simplify79.0ms (1.7%)

prune166.0ms (3.5%)

regimes150.0ms (3.1%)

bsearch0.0ms (0%)

simplify22.0ms (0.5%)

end0.0ms (0%)

sample1.2s (25%)

Profiling