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)

sample23.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
7.0ms	256×	pre	128	true

Compiler

Compiled 29 to 25 computations (13.8% saved)

simplify194.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

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)

localize4.0ms (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)

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_3885`
28×	`*-un-lft-identity_binary64_3863`
19×	`times-frac_binary64_3869`
14×	`add-cube-cbrt_binary64_3898`
10×	`difference-of-squares_binary64_3832`
6×	`associate-/r*_binary64_3807`
5×	`distribute-lft-out--_binary64_3815`
4×	`add-log-exp_binary64_3902` `add-cbrt-cube_binary64_3899` `add-exp-log_binary64_3901`
3×	`cancel-sign-sub-inv_binary64_3829` `associate-/l*_binary64_3808`
2×	`flip--_binary64_3838` `flip3--_binary64_3867` `pow1_binary64_3924` `associate-/r/_binary64_3809`
1×	`div-inv_binary64_3860` `frac-2neg_binary64_3874` `div-exp_binary64_3914` `cbrt-undiv_binary64_3897` `sub-neg_binary64_3856` `clear-num_binary64_3862` `diff-log_binary64_3955`

Counts

2 → 58

Calls

2 calls:

18.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
6.0ms	(/.f64 x0 (-.f64 1 x1))

series125.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

68.0ms	(-.f64 (/.f64 x0 (-.f64 1 x1)) x0)
57.0ms	(/.f64 x0 (-.f64 1 x1))

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4939	940
1	4939	940

prune69.0ms (0.9%)

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)

rewrite80.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64_3863`
34×	`add-sqr-sqrt_binary64_3885`
23×	`times-frac_binary64_3869`
18×	`add-cube-cbrt_binary64_3898`
11×	`add-cbrt-cube_binary64_3899` `add-exp-log_binary64_3901`
10×	`associate-/r*_binary64_3807` `difference-of-squares_binary64_3832`
8×	`add-log-exp_binary64_3902`
5×	`distribute-lft-out--_binary64_3815`
4×	`associate-/l*_binary64_3808` `pow1_binary64_3924` `associate-/r/_binary64_3809`
3×	`cancel-sign-sub-inv_binary64_3829` `flip--_binary64_3838` `div-exp_binary64_3914` `flip3--_binary64_3867` `distribute-lft-out_binary64_3814` `cbrt-undiv_binary64_3897`
2×	`div-inv_binary64_3860` `frac-2neg_binary64_3874` `associate-/l/_binary64_3810` `flip3-+_binary64_3866` `associate-*r/_binary64_3805` `clear-num_binary64_3862` `flip-+_binary64_3837`
1×	`prod-exp_binary64_3912` `cbrt-unprod_binary64_3896` `sum-log_binary64_3954` `+-commutative_binary64_3793` `sub-neg_binary64_3856` `diff-log_binary64_3955`

Counts

4 → 97

Calls

4 calls:

31.0ms	(/.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)
14.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
6.0ms	(/.f64 x0 (-.f64 1 x1))

series502.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

262.0ms	(/.f64 (.f64 x0 (-.f64 (/.f64 x0 (.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)) (+.f64 x0 (/.f64 x0 (-.f64 1 x1))))
129.0ms	(-.f64 (/.f64 x0 (*.f64 (-.f64 1 x1) (-.f64 1 x1))) x0)
61.0ms	(+.f64 x0 (/.f64 x0 (-.f64 1 x1)))
50.0ms	(/.f64 x0 (-.f64 1 x1))

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5042	2277

prune154.0ms (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)

localize20.0ms (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))

rewrite142.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

155×	`add-sqr-sqrt_binary64_3885`
66×	`times-frac_binary64_3869` `difference-of-squares_binary64_3832`
56×	`unpow-prod-down_binary64_3942`
46×	`*-un-lft-identity_binary64_3863`
44×	`sqr-pow_binary64_3835`
34×	`cube-prod_binary64_3891`
23×	`add-cube-cbrt_binary64_3898`
12×	`cancel-sign-sub-inv_binary64_3829`
8×	`distribute-lft-out--_binary64_3815` `add-exp-log_binary64_3901`
7×	`add-cbrt-cube_binary64_3899`
6×	`add-log-exp_binary64_3902` `associate-/r*_binary64_3807` `pow-unpow_binary64_3940` `pow1_binary64_3924`
3×	`flip--_binary64_3838` `associate-/l*_binary64_3808` `flip3--_binary64_3867`
2×	`cube-div_binary64_3892` `cube-mult_binary64_3893` `pow-exp_binary64_3931` `unpow3_binary64_3929` `associate-/r/_binary64_3809` `pow-to-exp_binary64_3932` `pow-pow_binary64_3935`
1×	`div-inv_binary64_3860` `frac-2neg_binary64_3874` `div-exp_binary64_3914` `cbrt-undiv_binary64_3897` `sub-neg_binary64_3856` `clear-num_binary64_3862` `rem-cube-cbrt_binary64_3886` `diff-log_binary64_3955`

Counts

4 → 168

Calls

4 calls:

93.0ms	(-.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)
5.0ms	(pow.f64 (-.f64 1 x1) 6)

series260.0ms (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))
49.0ms	(/.f64 x0 (-.f64 1 x1))
19.0ms	(pow.f64 (-.f64 1 x1) 6)
16.0ms	(pow.f64 (-.f64 1 x1) 3)

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4989	4060
1	4989	4060

prune611.0ms (7.6%)

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 10656 to 6961 computations (34.7% saved)

localize33.0ms (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))

rewrite493.0ms (6.2%)

Algorithm

1×	rewrite-expression-head

Rules

607×	`add-sqr-sqrt_binary64_3885`
496×	`unpow-prod-down_binary64_3942`
380×	`cube-prod_binary64_3891`
290×	`difference-of-squares_binary64_3832`
258×	`times-frac_binary64_3869`
240×	`sqr-pow_binary64_3835`
51×	`*-un-lft-identity_binary64_3863`
30×	`cancel-sign-sub-inv_binary64_3829`
26×	`add-cube-cbrt_binary64_3898`
10×	`distribute-lft-out--_binary64_3815`
9×	`pow-unpow_binary64_3940` `add-exp-log_binary64_3901`
7×	`pow1_binary64_3924`
6×	`add-log-exp_binary64_3902`
4×	`pow-exp_binary64_3931` `add-cbrt-cube_binary64_3899`
3×	`cube-mult_binary64_3893` `unpow3_binary64_3929` `pow-to-exp_binary64_3932` `pow-pow_binary64_3935`
2×	`flip--_binary64_3838` `flip3--_binary64_3867` `associate-/r/_binary64_3809`
1×	`div-inv_binary64_3860` `div-exp_binary64_3914` `difference-cubes_binary64_3865` `sub-neg_binary64_3856` `diff-log_binary64_3955`

Counts

4 → 406

Calls

4 calls:

335.0ms	(-.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)
5.0ms	(pow.f64 (-.f64 1 x1) 6)
5.0ms	(pow.f64 (-.f64 1 x1) 12)

series409.0ms (5.1%)

Counts

4 → 12

Calls

4 calls:

266.0ms	(-.f64 (pow.f64 (/.f64 (pow.f64 x0 3) (pow.f64 (-.f64 1 x1) 6)) 3) (pow.f64 (pow.f64 x0 3) 3))
102.0ms	(pow.f64 (/.f64 x0 (-.f64 1 x1)) 6)
23.0ms	(pow.f64 (-.f64 1 x1) 12)
18.0ms	(pow.f64 (-.f64 1 x1) 6)

simplify199.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

418 → 418

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5091	17732

prune3.5s (43.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	416	2	418
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	416	4	420

Merged error: 4.0b

Counts

420 → 4

Compiler

Compiled 37503 to 26531 computations (29.3% saved)

regimes81.0ms (1%)

Compiler: Compiled 1164 to 899 computations (22.8% saved)

bsearch1.0ms (0%)

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

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	94	214
1	94	214

end0.0ms (0%)

sample908.0ms (11.4%)

Algorithm

1×

intervals

Results

218.0ms	8000×	pre	128	true
162.0ms	8000×	body	128	valid

Compiler

Compiled 492 to 371 computations (24.6% saved)

Details

analyze3.0ms (0%)

sample23.0ms (0.3%)

simplify194.0ms (2.4%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite29.0ms (0.4%)

series125.0ms (1.6%)

simplify56.0ms (0.7%)

prune69.0ms (0.9%)

localize10.0ms (0.1%)

rewrite80.0ms (1%)

series502.0ms (6.3%)

simplify65.0ms (0.8%)

prune154.0ms (1.9%)

localize20.0ms (0.3%)

rewrite142.0ms (1.8%)

series260.0ms (3.3%)

simplify65.0ms (0.8%)

prune611.0ms (7.6%)

localize33.0ms (0.4%)

rewrite493.0ms (6.2%)

series409.0ms (5.1%)

simplify199.0ms (2.5%)

prune3.5s (43.2%)

regimes81.0ms (1%)

bsearch1.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample908.0ms (11.4%)

Profiling