Details

analyze6.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample33.0ms (0%)

Algorithm

1×

intervals

Results

14.0ms	256×	pre	128	true
11.0ms	256×	body	128	valid

Compiler

Compiled 29 to 25 computations (13.8% saved)

simplify429.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (169.0ms)

Iter	Nodes	Cost
0	498	10
1	498	10

prune8.0ms (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

Merged error: 8.7b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize21.0ms (0%)

Local error

Found 2 expressions with local error:

1.0b	(/.f64 x0 (-.f64 1 x1))
7.9b	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)

rewrite90.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_2487`
28×	`*-un-lft-identity_binary64_2465`
19×	`times-frac_binary64_2471`
14×	`add-cube-cbrt_binary64_2500`
10×	`difference-of-squares_binary64_2434`
6×	`associate-/r*_binary64_2409`
5×	`distribute-lft-out--_binary64_2417`
4×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
3×	`cancel-sign-sub-inv_binary64_2431` `associate-/l*_binary64_2410`
2×	`flip--_binary64_2440` `pow1_binary64_2526` `associate-/r/_binary64_2411` `flip3--_binary64_2469`
1×	`clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `sub-neg_binary64_2458` `div-exp_binary64_2516` `div-inv_binary64_2462` `diff-log_binary64_2557` `frac-2neg_binary64_2476`

Counts

2 → 58

Calls

2 calls:

51.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
23.0ms	(/.f64 x0 (-.f64 1 x1))

series232.0ms (0.2%)

Counts

2 → 6

Calls

2 calls:

125.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
106.0ms	(/.f64 x0 (-.f64 1 x1))

simplify218.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (160.0ms)

Iter	Nodes	Cost
0	5131	940

prune407.0ms (0.4%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	44	20	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	21	65

Merged error: 7.0b

Counts

65 → 21

Compiler

Compiled 1207 to 772 computations (36% saved)

localize42.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
0.5b	(/.f64 (.f64 x0 (-.f64 (/.f64 x0 (.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)) (+.f64 x0 (/.f64 x0 (-.f64 1 x1))))
1.0b	(/.f64 x0 (-.f64 1 x1))
6.3b	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)

rewrite299.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64_2465`
34×	`add-sqr-sqrt_binary64_2487`
23×	`times-frac_binary64_2471`
18×	`add-cube-cbrt_binary64_2500`
11×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
10×	`difference-of-squares_binary64_2434` `associate-/r*_binary64_2409`
8×	`add-log-exp_binary64_2504`
5×	`distribute-lft-out--_binary64_2417`
4×	`pow1_binary64_2526` `associate-/r/_binary64_2411` `associate-/l*_binary64_2410`
3×	`flip--_binary64_2440` `cbrt-undiv_binary64_2499` `cancel-sign-sub-inv_binary64_2431` `div-exp_binary64_2516` `distribute-lft-out_binary64_2416` `flip3--_binary64_2469`
2×	`flip3-+_binary64_2468` `associate-/l/_binary64_2412` `flip-+_binary64_2439` `associate-*r/_binary64_2407` `clear-num_binary64_2464` `div-inv_binary64_2462` `frac-2neg_binary64_2476`
1×	`+-commutative_binary64_2395` `sum-log_binary64_2556` `sub-neg_binary64_2458` `diff-log_binary64_2557` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`

Counts

4 → 97

Calls

4 calls:

135.0ms	(/.f64 (.f64 x0 (-.f64 (/.f64 x0 (.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)) (+.f64 x0 (/.f64 x0 (-.f64 1 x1))))
54.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)
42.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
26.0ms	(/.f64 x0 (-.f64 1 x1))

series580.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

234.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)
222.0ms	(/.f64 (.f64 x0 (-.f64 (/.f64 x0 (.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)) (+.f64 x0 (/.f64 x0 (-.f64 1 x1))))
71.0ms	(/.f64 x0 (-.f64 1 x1))
52.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))

simplify137.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5017	2277

prune518.0ms (0.5%)

Pruning

44 alts after pruning (42 fresh and 2 done)

	Pruned	Kept	Total
New	83	26	109
Fresh	3	16	19
Picked	0	1	1
Done	0	1	1
Total	86	44	130

Merged error: 5.8b

Counts

130 → 44

Compiler

Compiled 4192 to 2700 computations (35.6% saved)

localize41.0ms (0%)

Local error

Found 4 expressions with local error:

1.0b	(/.f64 x0 (-.f64 1 x1))
1.0b	(pow.f64 (-.f64 1 x1) 3)
1.3b	(pow.f64 (-.f64 1 x1) 6)
4.6b	(-.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) (pow.f64 x0 3))

rewrite285.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

155×	`add-sqr-sqrt_binary64_2487`
66×	`difference-of-squares_binary64_2434` `times-frac_binary64_2471`
56×	`unpow-prod-down_binary64_2544`
46×	`*-un-lft-identity_binary64_2465`
44×	`sqr-pow_binary64_2437`
34×	`cube-prod_binary64_2493`
23×	`add-cube-cbrt_binary64_2500`
12×	`cancel-sign-sub-inv_binary64_2431`
8×	`add-exp-log_binary64_2503` `distribute-lft-out--_binary64_2417`
7×	`add-cbrt-cube_binary64_2501`
6×	`add-log-exp_binary64_2504` `associate-/r*_binary64_2409` `pow1_binary64_2526` `pow-unpow_binary64_2542`
3×	`flip--_binary64_2440` `flip3--_binary64_2469` `associate-/l*_binary64_2410`
2×	`unpow3_binary64_2531` `pow-exp_binary64_2533` `cube-mult_binary64_2495` `pow-to-exp_binary64_2534` `pow-pow_binary64_2537` `associate-/r/_binary64_2411` `cube-div_binary64_2494`
1×	`rem-cube-cbrt_binary64_2488` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `sub-neg_binary64_2458` `div-exp_binary64_2516` `div-inv_binary64_2462` `diff-log_binary64_2557` `frac-2neg_binary64_2476`

Counts

4 → 168

Calls

4 calls:

183.0ms	(-.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) (pow.f64 x0 3))
14.0ms	(/.f64 x0 (-.f64 1 x1))
13.0ms	(pow.f64 (-.f64 1 x1) 3)
12.0ms	(pow.f64 (-.f64 1 x1) 6)

series309.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

196.0ms	(-.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) (pow.f64 x0 3))
57.0ms	(/.f64 x0 (-.f64 1 x1))
34.0ms	(pow.f64 (-.f64 1 x1) 6)
21.0ms	(pow.f64 (-.f64 1 x1) 3)

simplify204.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	5247	4066

prune1.5s (1.4%)

Pruning

65 alts after pruning (62 fresh and 3 done)

	Pruned	Kept	Total
New	157	23	180
Fresh	2	39	41
Picked	0	1	1
Done	0	2	2
Total	159	65	224

Merged error: 4.2b

Counts

224 → 65

Compiler

Compiled 12395 to 8219 computations (33.7% saved)

localize70.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.3b	(pow.f64 (-.f64 1 x1) 6)
1.3b	(pow.f64 (/.f64 x0 (-.f64 1 x1)) 6)
1.9b	(pow.f64 (-.f64 1 x1) 12)
4.5b	(-.f64 (pow.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) 3) (pow.f64 (pow.f64 x0 3) 3))

rewrite975.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

607×	`add-sqr-sqrt_binary64_2487`
496×	`unpow-prod-down_binary64_2544`
380×	`cube-prod_binary64_2493`
290×	`difference-of-squares_binary64_2434`
258×	`times-frac_binary64_2471`
240×	`sqr-pow_binary64_2437`
51×	`*-un-lft-identity_binary64_2465`
30×	`cancel-sign-sub-inv_binary64_2431`
26×	`add-cube-cbrt_binary64_2500`
10×	`distribute-lft-out--_binary64_2417`
9×	`add-exp-log_binary64_2503` `pow-unpow_binary64_2542`
7×	`pow1_binary64_2526`
6×	`add-log-exp_binary64_2504`
4×	`pow-exp_binary64_2533` `add-cbrt-cube_binary64_2501`
3×	`unpow3_binary64_2531` `cube-mult_binary64_2495` `pow-to-exp_binary64_2534` `pow-pow_binary64_2537`
2×	`flip--_binary64_2440` `associate-/r/_binary64_2411` `flip3--_binary64_2469`
1×	`difference-cubes_binary64_2467` `sub-neg_binary64_2458` `div-exp_binary64_2516` `div-inv_binary64_2462` `diff-log_binary64_2557`

Counts

4 → 406

Calls

4 calls:

688.0ms	(-.f64 (pow.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) 3) (pow.f64 (pow.f64 x0 3) 3))
18.0ms	(pow.f64 (/.f64 x0 (-.f64 1 x1)) 6)
10.0ms	(pow.f64 (-.f64 1 x1) 12)
10.0ms	(pow.f64 (-.f64 1 x1) 6)

series399.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

249.0ms	(-.f64 (pow.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) 3) (pow.f64 (pow.f64 x0 3) 3))
107.0ms	(pow.f64 (/.f64 x0 (-.f64 1 x1)) 6)
22.0ms	(pow.f64 (-.f64 1 x1) 12)
21.0ms	(pow.f64 (-.f64 1 x1) 6)

simplify427.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

418 → 418

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4937	17732
1	4937	17732

prune7.1s (6.5%)

Pruning

94 alts after pruning (90 fresh and 4 done)

	Pruned	Kept	Total
New	389	29	418
Fresh	0	61	61
Picked	0	1	1
Done	0	3	3
Total	389	94	483

Merged error: 4.1b

Counts

483 → 94

Compiler

Compiled 36942 to 26104 computations (29.3% saved)

regimes5.6s (5.2%)

Compiler: Compiled 53701 to 39907 computations (25.7% saved)

bsearch58.2s (53.5%)

simplify53.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	113
1	59	113

end0.0ms (0%)

sample30.8s (28.2%)

Algorithm

1×

intervals

Results

384.0ms	8000×	pre	128	true
300.0ms	8000×	body	128	valid

Compiler

Compiled 15469 to 11462 computations (25.9% saved)

Pareto

0.14304345976182622

Details

analyze6.0ms (0%)

sample33.0ms (0%)

simplify429.0ms (0.4%)

prune8.0ms (0%)

localize21.0ms (0%)

rewrite90.0ms (0.1%)

series232.0ms (0.2%)

simplify218.0ms (0.2%)

prune407.0ms (0.4%)

localize42.0ms (0%)

rewrite299.0ms (0.3%)

series580.0ms (0.5%)

simplify137.0ms (0.1%)

prune518.0ms (0.5%)

localize41.0ms (0%)

rewrite285.0ms (0.3%)

series309.0ms (0.3%)

simplify204.0ms (0.2%)

prune1.5s (1.4%)

localize70.0ms (0.1%)

rewrite975.0ms (0.9%)

series399.0ms (0.4%)

simplify427.0ms (0.4%)

prune7.1s (6.5%)

regimes5.6s (5.2%)

bsearch58.2s (53.5%)

simplify53.0ms (0%)

end0.0ms (0%)

sample30.8s (28.2%)

Profiling