Details

analyze938.0ms (13.7%)

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
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
2.7%	90.9%	6.4%	9
4.1%	86.4%	9.5%	10
4.4%	86.1%	9.5%	11
19.7%	65.3%	15%	12
21.9%	60.4%	17.7%	13
22.7%	59.6%	17.7%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample46.0ms (0.7%)

Algorithm

1×

intervals

Results

13.0ms	202×	body	128	valid
11.0ms	26×	body	1024	valid
5.0ms	21×	body	512	valid
2.0ms	6×	body	1024	invalid
2.0ms	33×	body	128	nan
1.0ms	7×	body	256	valid
1.0ms	4×	body	256	invalid
0.0ms	2×	body	512	invalid
0.0ms	7×	body	128	invalid

Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify241.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4946	16
1	4946	16

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 7.2b

Counts

2 → 1

Compiler

Compiled 46 to 34 computations (26.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
0.0b	(/.f64 y (+.f64 y z))
7.5b	(pow.f64 (/.f64 y (+.f64 y z)) y)

rewrite50.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64_14527`
24×	`times-frac_binary64_14533`
21×	`add-sqr-sqrt_binary64_14549` `add-cube-cbrt_binary64_14562`
18×	`unpow-prod-down_binary64_14606`
8×	`add-exp-log_binary64_14565` `distribute-lft-out_binary64_14478`
5×	`add-cbrt-cube_binary64_14563` `add-log-exp_binary64_14566`
4×	`pow1_binary64_14588` `associate-/r/_binary64_14473` `associate-/r*_binary64_14471`
3×	`flip-+_binary64_14501` `flip3-+_binary64_14530` `pow-unpow_binary64_14604` `associate-/l*_binary64_14472`
2×	`div-inv_binary64_14524` `div-exp_binary64_14578` `pow-exp_binary64_14595`
1×	`pow-to-exp_binary64_14596` `+-commutative_binary64_14457` `cbrt-undiv_binary64_14561` `sqr-pow_binary64_14499` `frac-2neg_binary64_14538` `pow-pow_binary64_14599` `sum-log_binary64_14618` `clear-num_binary64_14526`

Counts

3 → 78

Calls

3 calls:

29.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
8.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
6.0ms	(/.f64 y (+.f64 y z))

series556.0ms (8.1%)

Counts

3 → 9

Calls

3 calls:

344.0ms	(pow.f64 (/.f64 y (+.f64 y z)) y)
164.0ms	(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
49.0ms	(/.f64 y (+.f64 y z))

simplify85.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4920	1449
1	4920	1449

prune155.0ms (2.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	83	4	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	4	88

Merged error: 0.3b

Counts

88 → 4

Compiler

Compiled 3187 to 1294 computations (59.4% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
1.5b	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
2.9b	(pow.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y)

rewrite51.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`unpow-prod-down_binary64_14606`
51×	`cbrt-prod_binary64_14558`
48×	`*-un-lft-identity_binary64_14527`
43×	`times-frac_binary64_14533`
36×	`add-sqr-sqrt_binary64_14549` `add-cube-cbrt_binary64_14562`
20×	`add-exp-log_binary64_14565`
14×	`cbrt-div_binary64_14559`
10×	`associate-/r/_binary64_14473`
7×	`flip-+_binary64_14501` `flip3-+_binary64_14530` `pow-exp_binary64_14595`
6×	`pow1_binary64_14588` `pow-unpow_binary64_14604` `distribute-lft-out_binary64_14478`
5×	`div-exp_binary64_14578`
4×	`frac-times_binary64_14537` `prod-exp_binary64_14576` `add-cbrt-cube_binary64_14563` `add-log-exp_binary64_14566`
2×	`div-inv_binary64_14524` `pow-to-exp_binary64_14596` `sqr-pow_binary64_14499` `pow-pow_binary64_14599` `pow1/3_binary64_14609` `associate-l/_binary64_14470` `associate-r/_binary64_14469`

Counts

4 → 116

Calls

4 calls:

18.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y)
13.0ms	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
2.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series1.2s (18.2%)

Counts

4 → 12

Calls

4 calls:

482.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y)
433.0ms	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
171.0ms	(cbrt.f64 y)
163.0ms	(cbrt.f64 y)

simplify88.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4931	3064
1	4931	3064

prune171.0ms (2.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	130	2	132

Merged error: 0.0b

Counts

132 → 2

Compiler

Compiled 5352 to 1229 computations (77% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
1.5b	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
3.8b	(log.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))))

rewrite50.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

96×	`cbrt-prod_binary64_14558`
85×	`*-un-lft-identity_binary64_14527`
84×	`times-frac_binary64_14533`
61×	`add-sqr-sqrt_binary64_14549` `add-cube-cbrt_binary64_14562`
48×	`unpow-prod-down_binary64_14606` `log-prod_binary64_14613`
12×	`distribute-lft-out_binary64_14478`
10×	`add-exp-log_binary64_14565`
6×	`pow1_binary64_14588`
4×	`cbrt-div_binary64_14559` `associate-/r/_binary64_14473` `add-cbrt-cube_binary64_14563` `add-log-exp_binary64_14566`
3×	`pow-unpow_binary64_14604`
2×	`flip-+_binary64_14501` `div-inv_binary64_14524` `rem-log-exp_binary64_14568` `flip3-+_binary64_14530` `pow1/3_binary64_14609` `div-exp_binary64_14578` `pow-exp_binary64_14595`
1×	`log-div_binary64_14614` `pow-to-exp_binary64_14596` `sqr-pow_binary64_14499` `pow-pow_binary64_14599` `log-pow_binary64_14616`

Counts

4 → 144

Calls

4 calls:

13.0ms	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
9.0ms	(log.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series916.0ms (13.4%)

Counts

4 → 12

Calls

4 calls:

463.0ms	(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
157.0ms	(cbrt.f64 y)
148.0ms	(cbrt.f64 y)
147.0ms	(log.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))))

simplify80.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5453	3670

prune193.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	156	2	158

Merged error: 0.0b

Counts

158 → 2

Compiler

Compiled 5609 to 1766 computations (68.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
0.0b	(/.f64 (exp.f64 (neg.f64 z)) y)

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_14527`
10×	`add-sqr-sqrt_binary64_14549` `add-cube-cbrt_binary64_14562`
9×	`times-frac_binary64_14533`
4×	`add-cbrt-cube_binary64_14563` `add-log-exp_binary64_14566`
3×	`add-exp-log_binary64_14565` `associate-/l_binary64_14472` `associate-/r_binary64_14471`
2×	`associate-/l/_binary64_14474` `pow1_binary64_14588`
1×	`flip-+_binary64_14501` `div-inv_binary64_14524` `+-commutative_binary64_14457` `cbrt-undiv_binary64_14561` `flip3-+_binary64_14530` `frac-2neg_binary64_14538` `neg-sub0_binary64_14522` `exp-neg_binary64_14574` `sum-log_binary64_14618` `div-exp_binary64_14578` `clear-num_binary64_14526` `distribute-lft-out_binary64_14478` `exp-diff_binary64_14575`

Counts

2 → 41

Calls

2 calls:

7.0ms	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
6.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)

series93.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

47.0ms	(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
45.0ms	(/.f64 (exp.f64 (neg.f64 z)) y)

simplify108.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4863	664
1	4863	664

prune39.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	47	2	49

Merged error: 0.0b

Counts

49 → 2

Compiler

Compiled 726 to 264 computations (63.6% saved)

regimes30.0ms (0.4%)

Compiler: Compiled 129 to 96 computations (25.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	43
1	22	43

end0.0ms (0%)

sample1.6s (23.9%)

Algorithm

1×

intervals

Results

424.0ms	6166×	body	128	valid
393.0ms	955×	body	1024	valid
141.0ms	556×	body	512	valid
66.0ms	177×	body	1024	invalid
53.0ms	227×	body	512	invalid
51.0ms	1006×	body	128	nan
50.0ms	318×	body	256	valid
27.0ms	409×	body	128	invalid
24.0ms	151×	body	256	invalid
4.0ms	5×	body	2048	valid

Compiler

Compiled 111 to 76 computations (31.5% saved)

Details

analyze938.0ms (13.7%)

sample46.0ms (0.7%)

simplify241.0ms (3.5%)

prune5.0ms (0.1%)

localize8.0ms (0.1%)

rewrite50.0ms (0.7%)

series556.0ms (8.1%)

simplify85.0ms (1.2%)

prune155.0ms (2.3%)

localize21.0ms (0.3%)

rewrite51.0ms (0.7%)

series1.2s (18.2%)

simplify88.0ms (1.3%)

prune171.0ms (2.5%)

localize17.0ms (0.3%)

rewrite50.0ms (0.7%)

series916.0ms (13.4%)

simplify80.0ms (1.2%)

prune193.0ms (2.8%)

localize6.0ms (0.1%)

rewrite16.0ms (0.2%)

series93.0ms (1.4%)

simplify108.0ms (1.6%)

prune39.0ms (0.6%)

regimes30.0ms (0.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.6s (23.9%)

Profiling