Details

analyze240.0ms (3.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
43.7%	56.2%	0.1%	8
62.4%	37.4%	0.1%	9
65.5%	34.3%	0.1%	10
71.8%	27.7%	0.5%	11
79.2%	19.7%	1.1%	12
80.2%	18.7%	1.1%	13
82.8%	15%	2.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample17.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	15×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify168.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	105	16
1	105	16

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: 5.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

2.7b	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
3.3b	(.f64 y (+.f64 1 (.f64 z z)))

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`times-frac_binary64_3869`
26×	`add-exp-log_binary64_3901`
20×	`add-sqr-sqrt_binary64_3885`
18×	`add-cube-cbrt_binary64_3898` `*-un-lft-identity_binary64_3863`
16×	`add-cbrt-cube_binary64_3899`
13×	`associate-/l*_binary64_3808`
12×	`div-exp_binary64_3914`
6×	`cbrt-undiv_binary64_3897`
5×	`prod-exp_binary64_3912`
4×	`pow1_binary64_3924` `associate-*r/_binary64_3805`
3×	`div-inv_binary64_3860` `cbrt-unprod_binary64_3896` `associate-r_binary64_3803` `associate-l_binary64_3804`
2×	`add-log-exp_binary64_3902` `flip3-+_binary64_3866` `1-exp_binary64_3907` `associate-/r/_binary64_3809` `rec-exp_binary64_3913` `flip-+_binary64_3837`
1×	`frac-2neg_binary64_3874` `associate-/r_binary64_3807` `associate-/l/_binary64_3810` `unswap-sqr_binary64_3831` `distribute-rgt-in_binary64_3813` `-commutative_binary64_3794` `distribute-lft-in_binary64_3812` `pow-prod-down_binary64_3934` `clear-num_binary64_3862`

Counts

2 → 74

Calls

2 calls:

11.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
7.0ms	(.f64 y (+.f64 1 (.f64 z z)))

series175.0ms (2.8%)

Counts

2 → 6

Calls

2 calls:

100.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
75.0ms	(.f64 y (+.f64 1 (.f64 z z)))

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5028	1317

prune359.0ms (5.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	70	10	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	10	81

Merged error: 3.8b

Counts

81 → 10

Compiler

Compiled 6257 to 4731 computations (24.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 (/.f64 1 x) y)
4.7b	(/.f64 (/.f64 (/.f64 1 x) y) (+.f64 1 (*.f64 z z)))

rewrite67.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

468×	`times-frac_binary64_3869`
228×	`add-sqr-sqrt_binary64_3885` `add-cube-cbrt_binary64_3898` `*-un-lft-identity_binary64_3863`
56×	`associate-/l*_binary64_3808`
26×	`add-exp-log_binary64_3901`
22×	`div-inv_binary64_3860`
17×	`div-exp_binary64_3914`
16×	`add-cbrt-cube_binary64_3899`
9×	`cbrt-undiv_binary64_3897`
6×	`associate-/r*_binary64_3807`
2×	`add-log-exp_binary64_3902` `frac-2neg_binary64_3874` `associate-/l/_binary64_3810` `pow1_binary64_3924` `1-exp_binary64_3907` `associate-/r/_binary64_3809` `clear-num_binary64_3862` `rec-exp_binary64_3913`
1×	`flip3-+_binary64_3866` `flip-+_binary64_3837`

Counts

2 → 268

Calls

2 calls:

20.0ms	(/.f64 (/.f64 (/.f64 1 x) y) (+.f64 1 (*.f64 z z)))
8.0ms	(/.f64 (/.f64 1 x) y)

series118.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

100.0ms	(/.f64 (/.f64 (/.f64 1 x) y) (+.f64 1 (*.f64 z z)))
18.0ms	(/.f64 (/.f64 1 x) y)

simplify141.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

274 → 274

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5135	7926

prune506.0ms (8.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	271	3	274
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	274	10	284

Merged error: 3.8b

Counts

284 → 10

Compiler

Compiled 9476 to 5981 computations (36.9% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (/.f64 1 x))
0.8b	(/.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) y) (sqrt.f64 (+.f64 1 (*.f64 z z))))
16.1b	(sqrt.f64 (+.f64 1 (*.f64 z z)))
16.1b	(sqrt.f64 (+.f64 1 (*.f64 z z)))

rewrite131.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

846×	`times-frac_binary64_3869`
408×	`add-sqr-sqrt_binary64_3885`
406×	`add-cube-cbrt_binary64_3898` `*-un-lft-identity_binary64_3863`
286×	`cbrt-prod_binary64_3894`
165×	`sqrt-prod_binary64_3879`
52×	`associate-/l*_binary64_3808`
30×	`div-inv_binary64_3860`
9×	`add-exp-log_binary64_3901`
8×	`add-cbrt-cube_binary64_3899`
6×	`associate-/r*_binary64_3807` `pow1_binary64_3924` `sqrt-div_binary64_3880`
4×	`add-log-exp_binary64_3902`
3×	`div-exp_binary64_3914` `flip3-+_binary64_3866` `cbrt-undiv_binary64_3897` `flip-+_binary64_3837`
2×	`sqrt-pow1_binary64_3881` `rem-sqrt-square_binary64_3876` `pow1/2_binary64_3943` `associate-/r/_binary64_3809`
1×	`frac-2neg_binary64_3874` `associate-/l/_binary64_3810` `pow1/3_binary64_3945` `cbrt-div_binary64_3895` `clear-num_binary64_3862`

Counts

4 → 439

Calls

4 calls:

26.0ms	(/.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) y) (sqrt.f64 (+.f64 1 (*.f64 z z))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 z z)))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 z z)))
3.0ms	(cbrt.f64 (/.f64 1 x))

series485.0ms (7.7%)

Counts

4 → 12

Calls

4 calls:

262.0ms	(/.f64 (/.f64 (cbrt.f64 (/.f64 1 x)) y) (sqrt.f64 (+.f64 1 (*.f64 z z))))
149.0ms	(cbrt.f64 (/.f64 1 x))
42.0ms	(sqrt.f64 (+.f64 1 (*.f64 z z)))
33.0ms	(sqrt.f64 (+.f64 1 (*.f64 z z)))

simplify217.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

451 → 451

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4922	17652
1	4922	17652

prune1.7s (26.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	451	0	451
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	451	10	461

Merged error: 3.8b

Counts

461 → 10

Compiler

Compiled 20442 to 13298 computations (34.9% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

2.2b	(.f64 (/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) y) (/.f64 (/.f64 (cbrt.f64 1) x) (+.f64 1 (*.f64 z z))))
4.3b	(/.f64 (/.f64 (cbrt.f64 1) x) (+.f64 1 (*.f64 z z)))

rewrite88.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

280×	`times-frac_binary64_3869`
173×	`add-sqr-sqrt_binary64_3885`
143×	`*-un-lft-identity_binary64_3863`
141×	`add-cube-cbrt_binary64_3898`
72×	`associate-r_binary64_3803`
67×	`cbrt-prod_binary64_3894`
43×	`add-exp-log_binary64_3901`
33×	`add-cbrt-cube_binary64_3899`
22×	`associate-/l*_binary64_3808`
18×	`div-exp_binary64_3914` `cbrt-undiv_binary64_3897`
12×	`prod-exp_binary64_3912` `cbrt-unprod_binary64_3896`
10×	`div-inv_binary64_3860` `unswap-sqr_binary64_3831`
7×	`associate-l_binary64_3804`
4×	`pow1_binary64_3924` `associate-/r/_binary64_3809`
3×	`associate-/r*_binary64_3807`
2×	`add-log-exp_binary64_3902` `flip3-+_binary64_3866` `flip-+_binary64_3837`
1×	`frac-2neg_binary64_3874` `associate-l/_binary64_3806` `frac-times_binary64_3873` `associate-/l/_binary64_3810` `-commutative_binary64_3794` `associate-*r/_binary64_3805` `pow-prod-down_binary64_3934` `clear-num_binary64_3862`

Counts

2 → 227

Calls

2 calls:

42.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) y) (/.f64 (/.f64 (cbrt.f64 1) x) (+.f64 1 (*.f64 z z))))
11.0ms	(/.f64 (/.f64 (cbrt.f64 1) x) (+.f64 1 (*.f64 z z)))

series200.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

101.0ms	(/.f64 (/.f64 (cbrt.f64 1) x) (+.f64 1 (*.f64 z z)))
99.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 1) (cbrt.f64 1)) y) (/.f64 (/.f64 (cbrt.f64 1) x) (+.f64 1 (*.f64 z z))))

simplify137.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4935	6827
1	4935	6827

prune476.0ms (7.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	232	1	233
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	234	9	243

Merged error: 3.8b

Counts

243 → 9

Compiler

Compiled 7774 to 5472 computations (29.6% saved)

regimes144.0ms (2.3%)

Compiler: Compiled 1428 to 1203 computations (15.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	47
1	18	47

end0.0ms (0%)

sample773.0ms (12.3%)

Algorithm

1×

intervals

Results

288.0ms	8000×	body	128	valid
15.0ms	429×	body	128	invalid

Compiler

Compiled 293 to 235 computations (19.8% saved)

Details

analyze240.0ms (3.8%)

sample17.0ms (0.3%)

simplify168.0ms (2.7%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite24.0ms (0.4%)

series175.0ms (2.8%)

simplify72.0ms (1.1%)

prune359.0ms (5.7%)

localize8.0ms (0.1%)

rewrite67.0ms (1.1%)

series118.0ms (1.9%)

simplify141.0ms (2.3%)

prune506.0ms (8.1%)

localize13.0ms (0.2%)

rewrite131.0ms (2.1%)

series485.0ms (7.7%)

simplify217.0ms (3.5%)

prune1.7s (26.8%)

localize11.0ms (0.2%)

rewrite88.0ms (1.4%)

series200.0ms (3.2%)

simplify137.0ms (2.2%)

prune476.0ms (7.6%)

regimes144.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample773.0ms (12.3%)

Profiling