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
6.0ms	256×	body	128	valid

Compiler

Compiled 29 to 25 computations (13.8% saved)

simplify209.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	472	10
1	472	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

Merged error: 8.6b

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))
7.8b	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_3197`
28×	`*-un-lft-identity_binary64_3175`
19×	`times-frac_binary64_3181`
14×	`add-cube-cbrt_binary64_3210`
10×	`difference-of-squares_binary64_3144`
6×	`associate-/r*_binary64_3119`
5×	`distribute-lft-out--_binary64_3127`
4×	`add-cbrt-cube_binary64_3211` `add-exp-log_binary64_3213` `add-log-exp_binary64_3214`
3×	`associate-/l*_binary64_3120` `cancel-sign-sub-inv_binary64_3141`
2×	`flip--_binary64_3150` `flip3--_binary64_3179` `pow1_binary64_3236` `associate-/r/_binary64_3121`
1×	`diff-log_binary64_3267` `clear-num_binary64_3174` `div-inv_binary64_3172` `frac-2neg_binary64_3186` `sub-neg_binary64_3168` `cbrt-undiv_binary64_3209` `div-exp_binary64_3226`

Counts

2 → 58

Calls

2 calls:

15.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
7.0ms	(/.f64 x0 (-.f64 1 x1))

series119.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

68.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
51.0ms	(/.f64 x0 (-.f64 1 x1))

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4939	940
1	4939	940

prune69.0ms (0.8%)

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

Merged error: 6.9b

Counts

65 → 2

Compiler

Compiled 1183 to 760 computations (35.8% 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))
6.2b	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)

rewrite81.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64_3175`
34×	`add-sqr-sqrt_binary64_3197`
23×	`times-frac_binary64_3181`
18×	`add-cube-cbrt_binary64_3210`
11×	`add-cbrt-cube_binary64_3211` `add-exp-log_binary64_3213`
10×	`associate-/r*_binary64_3119` `difference-of-squares_binary64_3144`
8×	`add-log-exp_binary64_3214`
5×	`distribute-lft-out--_binary64_3127`
4×	`associate-/l*_binary64_3120` `pow1_binary64_3236` `associate-/r/_binary64_3121`
3×	`flip--_binary64_3150` `flip3--_binary64_3179` `distribute-lft-out_binary64_3126` `cbrt-undiv_binary64_3209` `cancel-sign-sub-inv_binary64_3141` `div-exp_binary64_3226`
2×	`associate-*r/_binary64_3117` `clear-num_binary64_3174` `flip-+_binary64_3149` `div-inv_binary64_3172` `frac-2neg_binary64_3186` `flip3-+_binary64_3178` `associate-/l/_binary64_3122`
1×	`prod-exp_binary64_3224` `diff-log_binary64_3267` `cbrt-unprod_binary64_3208` `sub-neg_binary64_3168` `+-commutative_binary64_3105` `sum-log_binary64_3266`

Counts

4 → 97

Calls

4 calls:

34.0ms	(/.f64 (.f64 x0 (-.f64 (/.f64 x0 (.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)) (+.f64 x0 (/.f64 x0 (-.f64 1 x1))))
18.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)
11.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
6.0ms	(/.f64 x0 (-.f64 1 x1))

series487.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

249.0ms	(/.f64 (.f64 x0 (-.f64 (/.f64 x0 (.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)) (+.f64 x0 (/.f64 x0 (-.f64 1 x1))))
126.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)
56.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
55.0ms	(/.f64 x0 (-.f64 1 x1))

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5042	2277

prune156.0ms (1.9%)

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

Merged error: 5.8b

Counts

111 → 2

Compiler

Compiled 3568 to 2253 computations (36.9% saved)

localize22.0ms (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)
4.6b	(-.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) (pow.f64 x0 3))

rewrite143.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

155×	`add-sqr-sqrt_binary64_3197`
66×	`times-frac_binary64_3181` `difference-of-squares_binary64_3144`
56×	`unpow-prod-down_binary64_3254`
46×	`*-un-lft-identity_binary64_3175`
44×	`sqr-pow_binary64_3147`
34×	`cube-prod_binary64_3203`
23×	`add-cube-cbrt_binary64_3210`
12×	`cancel-sign-sub-inv_binary64_3141`
8×	`distribute-lft-out--_binary64_3127` `add-exp-log_binary64_3213`
7×	`add-cbrt-cube_binary64_3211`
6×	`pow-unpow_binary64_3252` `associate-/r*_binary64_3119` `pow1_binary64_3236` `add-log-exp_binary64_3214`
3×	`flip--_binary64_3150` `flip3--_binary64_3179` `associate-/l*_binary64_3120`
2×	`pow-exp_binary64_3243` `unpow3_binary64_3241` `pow-pow_binary64_3247` `pow-to-exp_binary64_3244` `cube-div_binary64_3204` `cube-mult_binary64_3205` `associate-/r/_binary64_3121`
1×	`diff-log_binary64_3267` `clear-num_binary64_3174` `div-inv_binary64_3172` `frac-2neg_binary64_3186` `rem-cube-cbrt_binary64_3198` `sub-neg_binary64_3168` `cbrt-undiv_binary64_3209` `div-exp_binary64_3226`

Counts

4 → 168

Calls

4 calls:

92.0ms	(-.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) (pow.f64 x0 3))
6.0ms	(/.f64 x0 (-.f64 1 x1))
6.0ms	(pow.f64 (-.f64 1 x1) 3)
6.0ms	(pow.f64 (-.f64 1 x1) 6)

series271.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

176.0ms	(-.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) (pow.f64 x0 3))
51.0ms	(/.f64 x0 (-.f64 1 x1))
24.0ms	(pow.f64 (-.f64 1 x1) 6)
19.0ms	(pow.f64 (-.f64 1 x1) 3)

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4989	4060
1	4989	4060

prune561.0ms (6.8%)

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

Merged error: 4.1b

Counts

182 → 2

Compiler

Compiled 10609 to 6927 computations (34.7% saved)

localize35.0ms (0.4%)

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))

rewrite498.0ms (6.1%)

Algorithm

1×	rewrite-expression-head

Rules

607×	`add-sqr-sqrt_binary64_3197`
496×	`unpow-prod-down_binary64_3254`
380×	`cube-prod_binary64_3203`
290×	`difference-of-squares_binary64_3144`
258×	`times-frac_binary64_3181`
240×	`sqr-pow_binary64_3147`
51×	`*-un-lft-identity_binary64_3175`
30×	`cancel-sign-sub-inv_binary64_3141`
26×	`add-cube-cbrt_binary64_3210`
10×	`distribute-lft-out--_binary64_3127`
9×	`pow-unpow_binary64_3252` `add-exp-log_binary64_3213`
7×	`pow1_binary64_3236`
6×	`add-log-exp_binary64_3214`
4×	`pow-exp_binary64_3243` `add-cbrt-cube_binary64_3211`
3×	`unpow3_binary64_3241` `pow-pow_binary64_3247` `pow-to-exp_binary64_3244` `cube-mult_binary64_3205`
2×	`flip--_binary64_3150` `flip3--_binary64_3179` `associate-/r/_binary64_3121`
1×	`diff-log_binary64_3267` `div-inv_binary64_3172` `sub-neg_binary64_3168` `difference-cubes_binary64_3177` `div-exp_binary64_3226`

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))
9.0ms	(pow.f64 (/.f64 x0 (-.f64 1 x1)) 6)
6.0ms	(pow.f64 (-.f64 1 x1) 12)
6.0ms	(pow.f64 (-.f64 1 x1) 6)

series423.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

269.0ms	(-.f64 (pow.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) 3) (pow.f64 (pow.f64 x0 3) 3))
112.0ms	(pow.f64 (/.f64 x0 (-.f64 1 x1)) 6)
21.0ms	(pow.f64 (-.f64 1 x1) 12)
21.0ms	(pow.f64 (-.f64 1 x1) 6)

simplify195.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

418 → 418

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5091	17732

prune3.6s (43.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	416	2	418
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	417	3	420

Merged error: 4.0b

Counts

420 → 3

Compiler

Compiled 37430 to 26476 computations (29.3% saved)

regimes226.0ms (2.8%)

Compiler: Compiled 754 to 583 computations (22.7% saved)

bsearch1.0ms (0%)

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

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	94	214
1	94	214

end0.0ms (0%)

sample862.0ms (10.5%)

Algorithm

1×

intervals

Results

217.0ms	8000×	pre	128	true
168.0ms	8000×	body	128	valid

Compiler

Compiled 419 to 316 computations (24.6% saved)

Details

analyze3.0ms (0%)

sample18.0ms (0.2%)

simplify209.0ms (2.5%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite27.0ms (0.3%)

series119.0ms (1.5%)

simplify56.0ms (0.7%)

prune69.0ms (0.8%)

localize10.0ms (0.1%)

rewrite81.0ms (1%)

series487.0ms (5.9%)

simplify61.0ms (0.7%)

prune156.0ms (1.9%)

localize22.0ms (0.3%)

rewrite143.0ms (1.8%)

series271.0ms (3.3%)

simplify64.0ms (0.8%)

prune561.0ms (6.8%)

localize35.0ms (0.4%)

rewrite498.0ms (6.1%)

series423.0ms (5.2%)

simplify195.0ms (2.4%)

prune3.6s (43.7%)

regimes226.0ms (2.8%)

bsearch1.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample862.0ms (10.5%)

Profiling