Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample25.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms	256×	pre	128	true
6.0ms	256×	body	128	valid

Compiler

Compiled 31 to 31 computations (0% saved)

simplify100.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune2.0ms (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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_2465`
5×	`add-sqr-sqrt_binary64_2487` `associate-r_binary64_2405`
3×	`add-cube-cbrt_binary64_2500` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526` `distribute-lft-out_binary64_2416` `associate-l_binary64_2406`
2×	`associate-*r/_binary64_2407`
1×	`flip3-+_binary64_2468` `add-log-exp_binary64_2504` `distribute-lft-in_binary64_2414` `*-commutative_binary64_2396` `flip-+_binary64_2439` `unswap-sqr_binary64_2433` `distribute-rgt-in_binary64_2415` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`

Counts

1 → 24

Calls

1 calls:

9.0ms

(*.f64 a (+.f64 (+.f64 b c) d))

series29.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

29.0ms

(*.f64 a (+.f64 (+.f64 b c) d))

simplify69.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5133	312

prune26.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Merged error: 0b

Counts

28 → 4

Compiler

Compiled 383 to 105 computations (72.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (+.f64 (+.f64 b c) d))
0.4b	(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d)))
0.4b	(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d)))
0.5b	(.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d))) (*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d))))

rewrite64.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

68×	`pow1_binary64_2526`
41×	`pow-prod-down_binary64_2536`
30×	`add-sqr-sqrt_binary64_2487`
29×	`sqrt-prod_binary64_2481`
28×	`*-un-lft-identity_binary64_2465`
21×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483`
20×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
18×	`associate-*r/_binary64_2407` `sqrt-div_binary64_2482`
17×	`associate-r_binary64_2405`
13×	`add-cube-cbrt_binary64_2500` `associate-l_binary64_2406`
10×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
9×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `distribute-lft-out_binary64_2416`
8×	`unswap-sqr_binary64_2433` `pow-prod-up_binary64_2535`
7×	`sqrt-unprod_binary64_2485`
6×	`pow-sqr_binary64_2438`
4×	`add-log-exp_binary64_2504` `frac-times_binary64_2475`
3×	`*-commutative_binary64_2396`
2×	`associate-*l/_binary64_2408` `pow-plus_binary64_2528`
1×	`swap-sqr_binary64_2432` `rem-square-sqrt_binary64_2477` `rem-sqrt-square_binary64_2478` `pow2_binary64_2546`

Counts

4 → 137

Calls

4 calls:

20.0ms	(.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d))) (*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d))))
11.0ms	(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d)))
11.0ms	(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d)))
5.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))

series383.0ms (10.5%)

Counts

4 → 12

Calls

4 calls:

150.0ms	(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d)))
149.0ms	(*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d)))
53.0ms	(.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d))) (*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 (+.f64 b c) d))))
32.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))

simplify66.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5004	2339

prune103.0ms (2.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	149	4	153

Merged error: 0b

Counts

153 → 4

Compiler

Compiled 3259 to 508 computations (84.4% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (.f64 d d))
0.0b	(*.f64 (+.f64 b c) (+.f64 b c))
0.5b	(.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d)))
6.5b	(/.f64 (.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d))) (-.f64 (+.f64 b c) d))

rewrite57.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64_2465`
20×	`add-sqr-sqrt_binary64_2487`
13×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
12×	`add-cube-cbrt_binary64_2500`
8×	`distribute-lft-in_binary64_2414` `distribute-rgt-in_binary64_2415` `associate-r_binary64_2405` `distribute-lft-out_binary64_2416`
7×	`associate-l_binary64_2406`
6×	`flip3-+_binary64_2468` `add-log-exp_binary64_2504` `times-frac_binary64_2471` `associate-/r_binary64_2409` `swap-sqr_binary64_2432` `flip-+_binary64_2439` `associate-r/_binary64_2407` `associate--l+_binary64_2402`
4×	`difference-of-squares_binary64_2434` `frac-times_binary64_2475` `flip--_binary64_2440` `distribute-lft-out--_binary64_2417` `flip3--_binary64_2469`
3×	`sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
2×	`associate-l/_binary64_2408` `-commutative_binary64_2396` `associate-/l/_binary64_2412` `cbrt-undiv_binary64_2499` `unswap-sqr_binary64_2433` `div-exp_binary64_2516` `associate-/r/_binary64_2411` `pow-prod-down_binary64_2536`
1×	`pow-plus_binary64_2528` `clear-num_binary64_2464` `div-inv_binary64_2462` `diff-log_binary64_2557` `pow2_binary64_2546` `frac-2neg_binary64_2476` `associate-/l*_binary64_2410` `pow-sqr_binary64_2438` `pow-prod-up_binary64_2535`

Counts

4 → 115

Calls

4 calls:

17.0ms	(/.f64 (.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d))) (-.f64 (+.f64 b c) d))
12.0ms	(.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d)))
9.0ms	(-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (.f64 d d))
9.0ms	(*.f64 (+.f64 b c) (+.f64 b c))

series336.0ms (9.2%)

Counts

4 → 12

Calls

4 calls:

140.0ms	(/.f64 (.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d))) (-.f64 (+.f64 b c) d))
134.0ms	(.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d)))
49.0ms	(-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (.f64 d d))
13.0ms	(*.f64 (+.f64 b c) (+.f64 b c))

simplify73.0ms (2%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5054	2222

prune101.0ms (2.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	127	4	131

Merged error: 0b

Counts

131 → 4

Compiler

Compiled 2914 to 827 computations (71.6% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (+.f64 b c) 3)
0.0b	(-.f64 (.f64 d d) (.f64 (+.f64 b c) d))
0.6b	(*.f64 a (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)))
18.5b	(/.f64 (.f64 a (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3))) (+.f64 (.f64 (+.f64 b c) (+.f64 b c)) (-.f64 (.f64 d d) (.f64 (+.f64 b c) d))))

rewrite75.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64_2465`
18×	`associate-/r/_binary64_2411`
16×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `frac-add_binary64_2473`
15×	`distribute-lft-out_binary64_2416`
13×	`add-sqr-sqrt_binary64_2487` `associate-r_binary64_2405`
12×	`add-exp-log_binary64_2503` `cube-prod_binary64_2493` `add-cbrt-cube_binary64_2501` `unpow-prod-down_binary64_2544`
11×	`add-cube-cbrt_binary64_2500`
9×	`flip--_binary64_2440` `flip3--_binary64_2469`
8×	`frac-times_binary64_2475` `associate-*r/_binary64_2407`
7×	`pow1_binary64_2526`
6×	`add-log-exp_binary64_2504`
4×	`associate-*l/_binary64_2408`
3×	`times-frac_binary64_2471` `associate-/r_binary64_2409` `pow-unpow_binary64_2542` `associate-l*_binary64_2406`
2×	`associate-/l/_binary64_2412` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `prod-exp_binary64_2514` `cube-div_binary64_2494` `cbrt-unprod_binary64_2498`
1×	`rem-cube-cbrt_binary64_2488` `distribute-lft-in_binary64_2414` `unpow3_binary64_2531` `-commutative_binary64_2396` `clear-num_binary64_2464` `pow-exp_binary64_2533` `sub-neg_binary64_2458` `sum-cubes_binary64_2466` `unswap-sqr_binary64_2433` `cube-mult_binary64_2495` `pow-to-exp_binary64_2534` `distribute-rgt-in_binary64_2415` `cancel-sign-sub-inv_binary64_2431` `div-inv_binary64_2462` `sqr-pow_binary64_2437` `diff-log_binary64_2557` `pow-pow_binary64_2537` `frac-2neg_binary64_2476` `pow-prod-down_binary64_2536` `distribute-rgt-out--_binary64_2419` `associate-/l_binary64_2410`

Counts

4 → 113

Calls

4 calls:

31.0ms	(/.f64 (.f64 a (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3))) (+.f64 (.f64 (+.f64 b c) (+.f64 b c)) (-.f64 (.f64 d d) (.f64 (+.f64 b c) d))))
20.0ms	(*.f64 a (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)))
4.0ms	(pow.f64 (+.f64 b c) 3)
4.0ms	(-.f64 (.f64 d d) (.f64 (+.f64 b c) d))

series665.0ms (18.2%)

Counts

4 → 12

Calls

4 calls:

317.0ms	(/.f64 (.f64 a (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3))) (+.f64 (.f64 (+.f64 b c) (+.f64 b c)) (-.f64 (.f64 d d) (.f64 (+.f64 b c) d))))
301.0ms	(*.f64 a (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)))
24.0ms	(-.f64 (.f64 d d) (.f64 (+.f64 b c) d))
23.0ms	(pow.f64 (+.f64 b c) 3)

simplify75.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5458	3637

prune156.0ms (4.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	125	4	129

Merged error: 0b

Counts

129 → 4

Compiler

Compiled 5224 to 1606 computations (69.3% saved)

regimes224.0ms (6.1%)

Compiler: Compiled 1997 to 1429 computations (28.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample969.0ms (26.5%)

Algorithm

1×

intervals

Results

318.0ms	8000×	pre	128	true
218.0ms	8000×	body	128	valid

Compiler

Compiled 258 to 189 computations (26.7% saved)

Details

analyze3.0ms (0.1%)

sample25.0ms (0.7%)

simplify100.0ms (2.7%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite11.0ms (0.3%)

series29.0ms (0.8%)

simplify69.0ms (1.9%)

prune26.0ms (0.7%)

localize9.0ms (0.2%)

rewrite64.0ms (1.7%)

series383.0ms (10.5%)

simplify66.0ms (1.8%)

prune103.0ms (2.8%)

localize10.0ms (0.3%)

rewrite57.0ms (1.6%)

series336.0ms (9.2%)

simplify73.0ms (2%)

prune101.0ms (2.8%)

localize15.0ms (0.4%)

rewrite75.0ms (2.1%)

series665.0ms (18.2%)

simplify75.0ms (2.1%)

prune156.0ms (4.3%)

regimes224.0ms (6.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample969.0ms (26.5%)

Profiling