Details

analyze3.0ms (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)

sample18.0ms (0.2%)

Algorithm

1×

intervals

Results

7.0ms	256×	pre	128	true
5.0ms	256×	body	128	valid

Compiler

Compiled 29 to 25 computations (13.8% saved)

simplify139.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	498	10
1	498	10

prune6.0ms (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

8.4b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

1.0b	(/.f64 x0 (-.f64 1 x1))
7.6b	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_3169`
28×	`*-un-lft-identity_binary64_3147`
19×	`times-frac_binary64_3153`
14×	`add-cube-cbrt_binary64_3182`
10×	`difference-of-squares_binary64_3116`
6×	`associate-/r*_binary64_3091`
5×	`distribute-lft-out--_binary64_3099`
4×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-log-exp_binary64_3186`
3×	`cancel-sign-sub-inv_binary64_3113` `associate-/l*_binary64_3092`
2×	`flip--_binary64_3122` `flip3--_binary64_3151` `pow1_binary64_3208` `associate-/r/_binary64_3093`
1×	`clear-num_binary64_3146` `frac-2neg_binary64_3158` `sub-neg_binary64_3140` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `diff-log_binary64_3239` `div-inv_binary64_3144`

Counts

2 → 58

Calls

2 calls:

14.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
6.0ms	(/.f64 x0 (-.f64 1 x1))

series60.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

33.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
27.0ms	(/.f64 x0 (-.f64 1 x1))

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5131	940

prune53.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	2	65

Error

6.7b

Counts

65 → 2

Compiler

Compiled 896 to 538 computations (40% saved)

localize10.0ms (0.1%)

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))
6.1b	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)

rewrite74.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64_3147`
34×	`add-sqr-sqrt_binary64_3169`
23×	`times-frac_binary64_3153`
18×	`add-cube-cbrt_binary64_3182`
11×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
10×	`associate-/r*_binary64_3091` `difference-of-squares_binary64_3116`
8×	`add-log-exp_binary64_3186`
5×	`distribute-lft-out--_binary64_3099`
4×	`pow1_binary64_3208` `associate-/l*_binary64_3092` `associate-/r/_binary64_3093`
3×	`flip--_binary64_3122` `cancel-sign-sub-inv_binary64_3113` `flip3--_binary64_3151` `distribute-lft-out_binary64_3098` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198`
2×	`clear-num_binary64_3146` `flip-+_binary64_3121` `frac-2neg_binary64_3158` `flip3-+_binary64_3150` `associate-/l/_binary64_3094` `associate-*r/_binary64_3089` `div-inv_binary64_3144`
1×	`sub-neg_binary64_3140` `+-commutative_binary64_3077` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `diff-log_binary64_3239` `sum-log_binary64_3238`

Counts

4 → 97

Calls

4 calls:

29.0ms	(/.f64 (.f64 x0 (-.f64 (/.f64 x0 (.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)) (+.f64 x0 (/.f64 x0 (-.f64 1 x1))))
19.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)
10.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
6.0ms	(/.f64 x0 (-.f64 1 x1))

series234.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

116.0ms	(/.f64 (.f64 x0 (-.f64 (/.f64 x0 (.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)) (+.f64 x0 (/.f64 x0 (-.f64 1 x1))))
59.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)
30.0ms	(/.f64 x0 (-.f64 1 x1))
30.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5017	2277

prune131.0ms (1.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	109	2	111

Error

5.6b

Counts

111 → 2

Compiler

Compiled 3114 to 1928 computations (38.1% saved)

localize21.0ms (0.3%)

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)
4.4b	(-.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) (pow.f64 x0 3))

rewrite131.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

155×	`add-sqr-sqrt_binary64_3169`
66×	`times-frac_binary64_3153` `difference-of-squares_binary64_3116`
56×	`unpow-prod-down_binary64_3226`
46×	`*-un-lft-identity_binary64_3147`
44×	`sqr-pow_binary64_3119`
34×	`cube-prod_binary64_3175`
23×	`add-cube-cbrt_binary64_3182`
12×	`cancel-sign-sub-inv_binary64_3113`
8×	`add-exp-log_binary64_3185` `distribute-lft-out--_binary64_3099`
7×	`add-cbrt-cube_binary64_3183`
6×	`associate-/r*_binary64_3091` `pow1_binary64_3208` `pow-unpow_binary64_3224` `add-log-exp_binary64_3186`
3×	`flip--_binary64_3122` `flip3--_binary64_3151` `associate-/l*_binary64_3092`
2×	`pow-exp_binary64_3215` `pow-to-exp_binary64_3216` `cube-mult_binary64_3177` `associate-/r/_binary64_3093` `cube-div_binary64_3176` `pow-pow_binary64_3219` `unpow3_binary64_3213`
1×	`clear-num_binary64_3146` `rem-cube-cbrt_binary64_3170` `frac-2neg_binary64_3158` `sub-neg_binary64_3140` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `diff-log_binary64_3239` `div-inv_binary64_3144`

Counts

4 → 168

Calls

4 calls:

87.0ms	(-.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) (pow.f64 x0 3))
6.0ms	(/.f64 x0 (-.f64 1 x1))
5.0ms	(pow.f64 (-.f64 1 x1) 3)
5.0ms	(pow.f64 (-.f64 1 x1) 6)

series146.0ms (2%)

Counts

4 → 12

Calls

4 calls:

100.0ms	(-.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) (pow.f64 x0 3))
25.0ms	(/.f64 x0 (-.f64 1 x1))
11.0ms	(pow.f64 (-.f64 1 x1) 6)
9.0ms	(pow.f64 (-.f64 1 x1) 3)

simplify96.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5247	4066

prune584.0ms (7.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	178	2	180
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	180	2	182

Error

3.9b

Counts

182 → 2

Compiler

Compiled 10180 to 6616 computations (35% saved)

localize33.0ms (0.5%)

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)
2.0b	(pow.f64 (-.f64 1 x1) 12)
4.3b	(-.f64 (pow.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) 3) (pow.f64 (pow.f64 x0 3) 3))

rewrite474.0ms (6.4%)

Algorithm

1×	rewrite-expression-head

Rules

607×	`add-sqr-sqrt_binary64_3169`
496×	`unpow-prod-down_binary64_3226`
380×	`cube-prod_binary64_3175`
290×	`difference-of-squares_binary64_3116`
258×	`times-frac_binary64_3153`
240×	`sqr-pow_binary64_3119`
51×	`*-un-lft-identity_binary64_3147`
30×	`cancel-sign-sub-inv_binary64_3113`
26×	`add-cube-cbrt_binary64_3182`
10×	`distribute-lft-out--_binary64_3099`
9×	`add-exp-log_binary64_3185` `pow-unpow_binary64_3224`
7×	`pow1_binary64_3208`
6×	`add-log-exp_binary64_3186`
4×	`pow-exp_binary64_3215` `add-cbrt-cube_binary64_3183`
3×	`pow-to-exp_binary64_3216` `cube-mult_binary64_3177` `pow-pow_binary64_3219` `unpow3_binary64_3213`
2×	`flip--_binary64_3122` `flip3--_binary64_3151` `associate-/r/_binary64_3093`
1×	`difference-cubes_binary64_3149` `sub-neg_binary64_3140` `div-exp_binary64_3198` `diff-log_binary64_3239` `div-inv_binary64_3144`

Counts

4 → 406

Calls

4 calls:

331.0ms	(-.f64 (pow.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) 3) (pow.f64 (pow.f64 x0 3) 3))
10.0ms	(pow.f64 (/.f64 x0 (-.f64 1 x1)) 6)
5.0ms	(pow.f64 (-.f64 1 x1) 12)
5.0ms	(pow.f64 (-.f64 1 x1) 6)

series201.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

125.0ms	(-.f64 (pow.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) 3) (pow.f64 (pow.f64 x0 3) 3))
49.0ms	(pow.f64 (/.f64 x0 (-.f64 1 x1)) 6)
17.0ms	(pow.f64 (-.f64 1 x1) 12)
10.0ms	(pow.f64 (-.f64 1 x1) 6)

simplify194.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

418 → 418

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4937	17732
1	4937	17732

prune3.2s (43.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	417	1	418
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	418	2	420

Error

3.9b

Counts

420 → 2

Compiler

Compiled 36942 to 26104 computations (29.3% saved)

regimes196.0ms (2.7%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 3248 to 2439 computations (24.9% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	94	214
1	94	214

end0.0ms (0%)

sample1.2s (15.8%)

Algorithm

1×

intervals

Results

219.0ms	8000×	pre	128	true
162.0ms	8000×	body	128	valid

Compiler

Compiled 834 to 621 computations (25.5% saved)

Details

analyze3.0ms (0%)

sample18.0ms (0.2%)

simplify139.0ms (1.9%)

prune6.0ms (0.1%)

localize5.0ms (0.1%)

rewrite24.0ms (0.3%)

series60.0ms (0.8%)

simplify59.0ms (0.8%)

prune53.0ms (0.7%)

localize10.0ms (0.1%)

rewrite74.0ms (1%)

series234.0ms (3.2%)

simplify73.0ms (1%)

prune131.0ms (1.8%)

localize21.0ms (0.3%)

rewrite131.0ms (1.8%)

series146.0ms (2%)

simplify96.0ms (1.3%)

prune584.0ms (7.9%)

localize33.0ms (0.5%)

rewrite474.0ms (6.4%)

series201.0ms (2.7%)

simplify194.0ms (2.6%)

prune3.2s (43.8%)

regimes196.0ms (2.7%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.2s (15.8%)

Profiling