Details

analyze818.0ms (10.1%)

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
12.5%	85.8%	1.7%	9
16.4%	79.2%	4.4%	10
20.7%	72.4%	7%	11
32.6%	53.3%	14.1%	12
36%	45.5%	18.5%	13
38.3%	41.1%	20.6%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample28.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
4.0ms	97×	body	128	invalid

Compiler

Compiled 31 to 26 computations (16.1% saved)

simplify177.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4898	19
1	4898	19

prune10.0ms (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

13.6b

Counts

2 → 2

Compiler

Compiled 41 to 31 computations (24.4% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.9b	(-.f64 (.f64 z z) (.f64 x x))
13.3b	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)

rewrite90.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`times-frac_binary64_18157`
11×	`add-cube-cbrt_binary64_18186` `add-sqr-sqrt_binary64_18173` `*-un-lft-identity_binary64_18151`
5×	`difference-of-squares_binary64_18120`
4×	`add-exp-log_binary64_18189` `add-log-exp_binary64_18190` `add-cbrt-cube_binary64_18187` `associate-/l*_binary64_18096`
3×	`associate-/r*_binary64_18095`
2×	`pow1_binary64_18212` `flip3--_binary64_18155` `associate-/l/_binary64_18098` `flip--_binary64_18126`
1×	`div-exp_binary64_18202` `cbrt-undiv_binary64_18185` `frac-2neg_binary64_18162` `div-sub_binary64_18156` `clear-num_binary64_18150` `div-inv_binary64_18148` `diff-log_binary64_18243` `sub-neg_binary64_18144` `cancel-sign-sub-inv_binary64_18117`

Counts

2 → 47

Calls

2 calls:

6.0ms	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)
4.0ms	(-.f64 (.f64 z z) (.f64 x x))

Compiler

Compiled 1043 to 305 computations (70.8% saved)

series351.0ms (4.4%)

Error

7.0b

Counts

2 → 27

Calls

2 calls:

234.0ms	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)
95.0ms	(-.f64 (.f64 z z) (.f64 x x))

Compiler

Compiled 867 to 726 computations (16.3% saved)

simplify72.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4963	1124
1	4963	1124

prune70.0ms (0.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	70	4	74
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	72	4	76

Error

0.0b

Counts

76 → 4

Compiler

Compiled 1319 to 400 computations (69.7% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (-.f64 z x))
0.2b	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))

rewrite225.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

174×	`times-frac_binary64_18157`
161×	`*-un-lft-identity_binary64_18151`
117×	`add-sqr-sqrt_binary64_18173`
79×	`add-cube-cbrt_binary64_18186`
26×	`associate-/r*_binary64_18095`
22×	`distribute-lft-out_binary64_18102`
19×	`difference-of-squares_binary64_18120` `distribute-lft-out--_binary64_18103`
13×	`associate-/r/_binary64_18097`
9×	`add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187`
7×	`div-inv_binary64_18148` `associate-/l*_binary64_18096`
6×	`flip3--_binary64_18155` `flip--_binary64_18126`
4×	`div-exp_binary64_18202` `cbrt-undiv_binary64_18185`
2×	`pow1_binary64_18212` `add-log-exp_binary64_18190` `frac-2neg_binary64_18162` `clear-num_binary64_18150` `associate-/l/_binary64_18098`
1×	`flip3-+_binary64_18154` `flip-+_binary64_18125`

Counts

2 → 163

Calls

2 calls:

19.0ms	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))
5.0ms	(/.f64 y (-.f64 z x))

Compiler

Compiled 4023 to 1164 computations (71.1% saved)

series429.0ms (5.3%)

Error

0.0b

Counts

2 → 39

Calls

2 calls:

246.0ms	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))
138.0ms	(/.f64 y (-.f64 z x))

Compiler

Compiled 1719 to 1180 computations (31.4% saved)

simplify103.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5009	4451

prune211.0ms (2.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	199	3	202
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	201	5	206

Error

Counts

206 → 5

Compiler

Compiled 4440 to 1181 computations (73.4% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x z) y)
0.2b	(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))

rewrite104.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`*-un-lft-identity_binary64_18151`
27×	`add-sqr-sqrt_binary64_18173`
25×	`times-frac_binary64_18157`
20×	`add-cube-cbrt_binary64_18186`
16×	`associate-r_binary64_18091`
9×	`add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187`
7×	`distribute-lft-out_binary64_18102`
5×	`associate-l_binary64_18092`
4×	`pow1_binary64_18212` `associate-/l*_binary64_18096`
3×	`associate-/r*_binary64_18095`
2×	`div-exp_binary64_18202` `prod-exp_binary64_18200` `add-log-exp_binary64_18190` `cbrt-unprod_binary64_18184` `cbrt-undiv_binary64_18185` `flip3--_binary64_18155` `frac-times_binary64_18161` `flip--_binary64_18126` `unswap-sqr_binary64_18119` `associate-*l/_binary64_18094` `div-inv_binary64_18148` `associate-/l/_binary64_18098`
1×	`pow-prod-down_binary64_18222` `associate-r/_binary64_18093` `difference-of-squares_binary64_18120` `distribute-lft-out--_binary64_18103` `-commutative_binary64_18082` `frac-2neg_binary64_18162` `clear-num_binary64_18150` `flip3-+_binary64_18154` `flip-+_binary64_18125`

Counts

2 → 74

Calls

2 calls:

13.0ms	(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
5.0ms	(/.f64 (+.f64 x z) y)

Compiler

Compiled 1565 to 504 computations (67.8% saved)

series344.0ms (4.3%)

Error

Counts

2 → 30

Calls

2 calls:

227.0ms	(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y))
95.0ms	(/.f64 (+.f64 x z) y)

Compiler

Compiled 1032 to 708 computations (31.4% saved)

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5010	1385

prune89.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	104	5	109

Error

Counts

109 → 5

Compiler

Compiled 1871 to 553 computations (70.4% saved)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x z) y)
0.0b	(/.f64 1 (-.f64 z x))
0.3b	(/.f64 (/.f64 (+.f64 x z) y) (/.f64 1 (-.f64 z x)))

rewrite911.0ms (11.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

882×	`times-frac_binary64_18157`
601×	`*-un-lft-identity_binary64_18151`
461×	`add-sqr-sqrt_binary64_18173`
351×	`add-cube-cbrt_binary64_18186`
70×	`distribute-lft-out_binary64_18102`
55×	`difference-of-squares_binary64_18120` `distribute-lft-out--_binary64_18103`
42×	`div-inv_binary64_18148`
37×	`associate-/r/_binary64_18097`
31×	`add-exp-log_binary64_18189`
29×	`associate-/r*_binary64_18095`
23×	`associate-/l*_binary64_18096`
19×	`div-exp_binary64_18202` `add-cbrt-cube_binary64_18187`
18×	`flip3--_binary64_18155` `flip--_binary64_18126`
10×	`cbrt-undiv_binary64_18185`
4×	`pow1_binary64_18212`
3×	`1-exp_binary64_18195` `rec-exp_binary64_18201` `add-log-exp_binary64_18190` `frac-2neg_binary64_18162` `clear-num_binary64_18150` `associate-/l/_binary64_18098`
1×	`inv-pow_binary64_18236` `pow-flip_binary64_18225` `flip3-+_binary64_18154` `flip-+_binary64_18125`

Counts

3 → 471

Calls

3 calls:

21.0ms	(/.f64 (/.f64 (+.f64 x z) y) (/.f64 1 (-.f64 z x)))
10.0ms	(/.f64 1 (-.f64 z x))
6.0ms	(/.f64 (+.f64 x z) y)

Compiler

Compiled 14375 to 5882 computations (59.1% saved)

series543.0ms (6.7%)

Error

Counts

3 → 54

Calls

3 calls:

265.0ms	(/.f64 (/.f64 (+.f64 x z) y) (/.f64 1 (-.f64 z x)))
135.0ms	(/.f64 (+.f64 x z) y)
96.0ms	(/.f64 1 (-.f64 z x))

Compiler

Compiled 2256 to 1594 computations (29.3% saved)

simplify225.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

525 → 525

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4997	15153
1	4997	15153

prune910.0ms (11.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	525	0	525
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	525	5	530

Error

Counts

530 → 5

Compiler

Compiled 13450 to 4073 computations (69.7% saved)

regimes504.0ms (6.3%)

Accuracy

Total 0.1b remaining (78.9%)

Threshold costs 0.1b (78.9%)

Compiler

Compiled 5388 to 3374 computations (37.4% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	19
1	32	19

end0.0ms (0%)

sample1.7s (21.4%)

Algorithm

1×

intervals

Results

392.0ms	8000×	body	128	valid
158.0ms	2960×	body	128	invalid

Compiler

Compiled 818 to 525 computations (35.8% saved)

Details

analyze818.0ms (10.1%)

sample28.0ms (0.3%)

simplify177.0ms (2.2%)

prune10.0ms (0.1%)

localize9.0ms (0.1%)

rewrite90.0ms (1.1%)

series351.0ms (4.4%)

simplify72.0ms (0.9%)

prune70.0ms (0.9%)

localize11.0ms (0.1%)

rewrite225.0ms (2.8%)

series429.0ms (5.3%)

simplify103.0ms (1.3%)

prune211.0ms (2.6%)

localize16.0ms (0.2%)

rewrite104.0ms (1.3%)

series344.0ms (4.3%)

simplify66.0ms (0.8%)

prune89.0ms (1.1%)

localize20.0ms (0.2%)

rewrite911.0ms (11.3%)

series543.0ms (6.7%)

simplify225.0ms (2.8%)

prune910.0ms (11.3%)

regimes504.0ms (6.3%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.7s (21.4%)

Profiling