Details

analyze1.5s (18.3%)

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
3.1%	90.5%	6.3%	6
4.7%	85.9%	9.5%	7
21.1%	64%	14.9%	8
23.4%	58.9%	17.7%	9
27.7%	51.3%	21%	10
28.9%	48.5%	22.6%	11
31.1%	44.4%	24.5%	12
31.7%	42.9%	25.4%	13
32.7%	41%	26.3%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample5.2s (63.8%)

Results

2.0s	1807×	body	1024	valid
1.2s	4680×	body	128	valid
754.0ms	1019×	body	512	valid
293.0ms	579×	body	256	valid
288.0ms	171×	body	2048	valid
231.0ms	213×	body	1024	invalid
169.0ms	237×	body	512	invalid
103.0ms	418×	body	128	invalid
71.0ms	154×	body	256	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

740×	`fma-def_binary64`
522×	`unswap-sqr_binary64`
335×	`fma-neg_binary64`
256×	`associate-l_binary64`
216×	`associate-r_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	16	13
2	25	13
3	53	13
4	116	13
5	276	13
6	665	13
7	2268	13
8	4318	13
9	4902	13

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

11.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	11.2b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

Compiler

Compiled 44 to 22 computations (50% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))
✓	6.5b	(pow.f64 (/.f64 x (+.f64 x y)) x)

series59.0ms (0.7%)

Counts

2 → 48

Calls

2 calls:

46.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
12.0ms	(/.f64 x (+.f64 x y))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
24×	`times-frac_binary64`
20×	`add-sqr-sqrt_binary64`
20×	`add-cube-cbrt_binary64`
18×	`unpow-prod-down_binary64`

Counts

2 → 70

Calls

2 calls:

9.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
6.0ms	(/.f64 x (+.f64 x y))

simplify207.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

276×	`fma-neg_binary64`
228×	`cancel-sign-sub-inv_binary64`
183×	`fma-def_binary64`
179×	`sub-neg_binary64`
176×	`times-frac_binary64`

Counts

118 → 119

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	315	3123
1	859	2987
2	3234	2833
3	4908	2833
4	4986	2833

prune149.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	117	3	120

Error

0.0b

Counts

120 → 3

Alt Table

Status	Error	Program
▶	9.1b	(/.f64 (exp.f64 (neg.f64 y)) x)
	9.4b	(/.f64 1 x)
✓	11.2b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)

Compiler

Compiled 3186 to 1541 computations (51.6% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (exp.f64 (neg.f64 y)) x)

series17.0ms (0.2%)

Counts

1 → 8

Calls

1 calls:

17.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
9×	`times-frac_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
3×	`associate-/r*_binary64`

Counts

1 → 31

Calls

1 calls:

7.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

simplify89.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

998×	`fma-neg_binary64`
511×	`fma-def_binary64`
397×	`div-sub_binary64`
389×	`associate-/l*_binary64`
297×	`unswap-sqr_binary64`

Counts

39 → 46

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	75	565
1	149	524
2	369	516
3	905	516
4	2769	509
5	4190	509
6	5158	509

prune58.0ms (0.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	43	3	46
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	43	6	49

Error

Counts

49 → 6

Alt Table

Status	Error	Program
	38.3b	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 (neg.f64 y)) x) 3))
✓	9.1b	(/.f64 (exp.f64 (neg.f64 y)) x)
	9.4b	(/.f64 1 x)
✓	11.2b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
▶	9.1b	(/.f64 1 (*.f64 x (exp.f64 y)))
	9.9b	(.f64 (/.f64 1 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (exp.f64 (neg.f64 y)) (cbrt.f64 x)))

Compiler

Compiled 633 to 248 computations (60.8% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (exp.f64 y))
✓	0.0b	(/.f64 1 (*.f64 x (exp.f64 y)))

series46.0ms (0.6%)

Counts

2 → 20

Calls

2 calls:

36.0ms	(/.f64 1 (*.f64 x (exp.f64 y)))
10.0ms	(*.f64 x (exp.f64 y))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
7×	`pow1_binary64`
6×	`*-un-lft-identity_binary64`

Counts

2 → 50

Calls

2 calls:

13.0ms	(/.f64 1 (*.f64 x (exp.f64 y)))
7.0ms	(*.f64 x (exp.f64 y))

simplify116.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

834×	`fma-def_binary64`
800×	`fma-neg_binary64`
575×	`cancel-sign-sub-inv_binary64`
334×	`associate-/l/_binary64`
237×	`associate-/r*_binary64`

Counts

70 → 76

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	87	692
1	200	595
2	594	590
3	1550	582
4	3300	580
5	4877	580
6	4997	580
7	4923	580

prune77.0ms (0.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	76	6	82

Error

Counts

82 → 6

Alt Table

Status	Error	Program
	38.3b	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 (neg.f64 y)) x) 3))
✓	9.1b	(/.f64 (exp.f64 (neg.f64 y)) x)
▶	9.4b	(/.f64 1 x)
✓	11.2b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	9.1b	(/.f64 1 (*.f64 x (exp.f64 y)))
	9.9b	(.f64 (/.f64 1 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (exp.f64 (neg.f64 y)) (cbrt.f64 x)))

Compiler

Compiled 888 to 440 computations (50.5% saved)

localize3.0ms (0%)

prune5.0ms (0.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	3	3
Total	6	6

Error

Counts

6 → 6

Alt Table

Status	Error	Program
	38.3b	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 (neg.f64 y)) x) 3))
✓	9.1b	(/.f64 (exp.f64 (neg.f64 y)) x)
✓	9.4b	(/.f64 1 x)
✓	11.2b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
✓	9.1b	(/.f64 1 (*.f64 x (exp.f64 y)))
	9.9b	(.f64 (/.f64 1 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (exp.f64 (neg.f64 y)) (cbrt.f64 x)))

Compiler

Compiled 57 to 39 computations (31.6% saved)

regimes152.0ms (1.9%)

Accuracy

Total 0.8b remaining (96.8%)

Threshold costs 0.8b (96.8%)

Counts

12 → 3

Compiler

Compiled 503 to 288 computations (42.7% saved)

bsearch188.0ms (2.3%)

Steps

Iters	Range		Point
9	4.2158193804721307e-10	0.0019380302110329403	0.0019168835680622822
9	-1.6330813985135813e+120	-4.9990745144287355e+110	-5.0918475062329726e+110

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	18	34
2	17	34

end146.0ms (1.8%)

Compiler: Compiled 107 to 71 computations (33.6% saved)

Details

analyze1.5s (18.3%)

sample5.2s (63.8%)

simplify60.0ms (0.7%)

prune5.0ms (0.1%)

localize10.0ms (0.1%)

series59.0ms (0.7%)

rewrite23.0ms (0.3%)

simplify207.0ms (2.5%)

prune149.0ms (1.8%)

localize8.0ms (0.1%)

series17.0ms (0.2%)

rewrite10.0ms (0.1%)

simplify89.0ms (1.1%)

prune58.0ms (0.7%)

localize8.0ms (0.1%)

series46.0ms (0.6%)

rewrite23.0ms (0.3%)

simplify116.0ms (1.4%)

prune77.0ms (0.9%)

localize3.0ms (0%)

prune5.0ms (0.1%)

regimes152.0ms (1.9%)

bsearch188.0ms (2.3%)

simplify4.0ms (0.1%)

end146.0ms (1.8%)

Profiling