Details

analyze261.0ms (2.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample42.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	100×	body	256	valid
8.0ms	293×	pre	128	true
7.0ms	156×	body	128	valid
2.0ms	37×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify407.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (310.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

43.0b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
36.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite149.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

39.9b

Rules

21×	`add-sqr-sqrt_binary64_2487`
14×	`*-un-lft-identity_binary64_2465`
9×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
8×	`add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500`
6×	`difference-of-squares_binary64_2434` `sqrt-prod_binary64_2481` `times-frac_binary64_2471` `associate-/l*_binary64_2410`
5×	`pow1_binary64_2526`
4×	`flip3--_binary64_2469` `flip--_binary64_2440` `cancel-sign-sub-inv_binary64_2431`
3×	`distribute-lft-out--_binary64_2417`
2×	`diff-log_binary64_2557` `sub-neg_binary64_2458` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `associate-/l/_binary64_2412` `sqrt-div_binary64_2482`
1×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `frac-2neg_binary64_2476` `div-sub_binary64_2470` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/r*_binary64_2409` `pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478`

Counts

4 → 74

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series888.0ms (8.7%)

Error

0.6b

Counts

4 → 72

Calls

4 calls:

356.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
200.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
150.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
106.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5207	3272

prune166.0ms (1.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	135	11	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	11	147

Error

0.4b

Counts

147 → 11

Compiler

Compiled 3505 to 1898 computations (45.8% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.3b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
0.4b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))

rewrite473.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

109×	`add-exp-log_binary64_2503`
54×	`prod-exp_binary64_2514`
42×	`add-sqr-sqrt_binary64_2487`
30×	`div-exp_binary64_2516`
29×	`add-cbrt-cube_binary64_2501` `unpow-prod-down_binary64_2544`
24×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533`
22×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
19×	`times-frac_binary64_2471` `associate-/r_binary64_2409` `associate-r*_binary64_2405`
16×	`unswap-sqr_binary64_2433` `cube-prod_binary64_2493`
15×	`sqr-pow_binary64_2437`
13×	`associate-l_binary64_2406`
10×	`cbrt-unprod_binary64_2498`
6×	`cbrt-undiv_binary64_2499`
4×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `unpow3_binary64_2531` `cube-mult_binary64_2495`
2×	`frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/l_binary64_2410` `-commutative_binary64_2396`

Counts

4 → 178

Calls

4 calls:

10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
8.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
8.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 8517 to 5058 computations (40.6% saved)

series740.0ms (7.3%)

Error

0.4b

Counts

4 → 30

Calls

4 calls:

281.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
192.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
112.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
99.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3690 to 2692 computations (27% saved)

simplify87.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5093	3032

prune514.0ms (5.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	208	0	208
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	208	11	219

Error

0.4b

Counts

219 → 11

Compiler

Compiled 9617 to 5664 computations (41.1% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.3b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite473.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

90×	`add-exp-log_binary64_2503`
46×	`pow1_binary64_2526`
45×	`prod-exp_binary64_2514`
36×	`pow-exp_binary64_2533`
35×	`pow-to-exp_binary64_2534`
30×	`div-exp_binary64_2516`
26×	`add-cbrt-cube_binary64_2501`
25×	`add-sqr-sqrt_binary64_2487`
19×	`unpow-prod-down_binary64_2544` `pow-prod-down_binary64_2536`
13×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
11×	`cbrt-unprod_binary64_2498` `sqr-pow_binary64_2437`
9×	`unswap-sqr_binary64_2433`
8×	`associate-l_binary64_2406` `associate-r_binary64_2405`
7×	`times-frac_binary64_2471` `associate-/r*_binary64_2409`
4×	`add-log-exp_binary64_2504` `pow-prod-up_binary64_2535` `pow-sqr_binary64_2438`
3×	`pow-unpow_binary64_2542`
2×	`pow-pow_binary64_2537` `rem-cube-cbrt_binary64_2488` `pow-plus_binary64_2528` `*-commutative_binary64_2396` `cbrt-undiv_binary64_2499`
1×	`unpow3_binary64_2531` `cube-mult_binary64_2495` `cube-prod_binary64_2493` `pow2_binary64_2546` `swap-sqr_binary64_2432` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/l*_binary64_2410`

Counts

4 → 155

Calls

4 calls:

10.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 8492 to 4963 computations (41.6% saved)

series662.0ms (6.5%)

Error

0.4b

Counts

4 → 27

Calls

4 calls:

313.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
121.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
91.0ms	(pow.f64 (*.f64 a c) 3)
86.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4005 to 2730 computations (31.8% saved)

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5071	1994

prune476.0ms (4.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	182	11	193

Error

0.4b

Counts

193 → 11

Compiler

Compiled 9517 to 5500 computations (42.2% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 a (.f64 c c))
0.3b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
0.4b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))

rewrite266.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

102×	`add-exp-log_binary64_2503`
48×	`prod-exp_binary64_2514`
32×	`add-cbrt-cube_binary64_2501`
30×	`div-exp_binary64_2516`
22×	`add-sqr-sqrt_binary64_2487`
19×	`times-frac_binary64_2471` `associate-/r*_binary64_2409`
18×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
16×	`unpow-prod-down_binary64_2544`
13×	`associate-r_binary64_2405`
12×	`cbrt-unprod_binary64_2498`
10×	`cube-prod_binary64_2493`
9×	`pow1_binary64_2526`
6×	`cbrt-undiv_binary64_2499` `sqr-pow_binary64_2437`
5×	`unswap-sqr_binary64_2433`
4×	`add-log-exp_binary64_2504` `associate-l_binary64_2406`
3×	`unpow3_binary64_2531` `cube-mult_binary64_2495` `pow-prod-down_binary64_2536`
2×	`frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/l_binary64_2410` `-commutative_binary64_2396`

Counts

4 → 148

Calls

4 calls:

13.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
6.0ms	(.f64 a (.f64 c c))

Compiler

Compiled 4942 to 2482 computations (49.8% saved)

series653.0ms (6.4%)

Error

0.4b

Counts

4 → 30

Calls

4 calls:

277.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
191.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
94.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
58.0ms	(.f64 a (.f64 c c))

Compiler

Compiled 2430 to 1732 computations (28.7% saved)

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5041	2488

prune226.0ms (2.2%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	178	11	189

Error

0.4b

Counts

189 → 11

Compiler

Compiled 5327 to 2651 computations (50.2% saved)

regimes580.0ms (5.7%)

Accuracy

Total 2.7b remaining (88.7%)

Threshold costs 0b (0%)

Compiler

Compiled 8608 to 6110 computations (29% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	201	63
1	201	63

end0.0ms (0%)

sample2.8s (27.5%)

Algorithm

1×

intervals

Results

280.0ms	3008×	body	256	valid
270.0ms	8983×	pre	128	true
249.0ms	4990×	body	128	valid
43.0ms	983×	body	128	nan
0.0ms	2×	body	512	valid

Compiler

Compiled 2214 to 1577 computations (28.8% saved)

Details

analyze261.0ms (2.6%)

sample42.0ms (0.4%)

simplify407.0ms (4%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite149.0ms (1.5%)

series888.0ms (8.7%)

simplify75.0ms (0.7%)

prune166.0ms (1.6%)

localize31.0ms (0.3%)

rewrite473.0ms (4.6%)

series740.0ms (7.3%)

simplify87.0ms (0.9%)

prune514.0ms (5.1%)

localize28.0ms (0.3%)

rewrite473.0ms (4.6%)

series662.0ms (6.5%)

simplify69.0ms (0.7%)

prune476.0ms (4.7%)

localize18.0ms (0.2%)

rewrite266.0ms (2.6%)

series653.0ms (6.4%)

simplify76.0ms (0.7%)

prune226.0ms (2.2%)

regimes580.0ms (5.7%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample2.8s (27.5%)

Profiling