Details

analyze871.0ms (19.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
14%	83.4%	2.5%	11
18.7%	78.2%	3.1%	12
28.1%	65.5%	6.4%	13
30.7%	59.4%	9.9%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample33.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
7.0ms	168×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify164.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	49	22
1	49	22

prune2.0ms (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

Merged error: 37.6b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
22.4b	(/.f64 (.f64 z z) (.f64 t t))
25.2b	(/.f64 (.f64 x x) (.f64 y y))

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-cbrt-cube_binary64_18347` `add-exp-log_binary64_18349`
8×	`cbrt-undiv_binary64_18345` `cbrt-unprod_binary64_18344` `prod-exp_binary64_18360` `div-exp_binary64_18362`
5×	`*-un-lft-identity_binary64_18311` `add-log-exp_binary64_18350`
3×	`add-cube-cbrt_binary64_18346` `pow1_binary64_18372` `add-sqr-sqrt_binary64_18333`
2×	`associate-/l_binary64_18256` `associate-/r_binary64_18255` `clear-num_binary64_18310` `frac-2neg_binary64_18322` `div-inv_binary64_18308` `times-frac_binary64_18317`
1×	`+-commutative_binary64_18241` `flip-+_binary64_18285` `distribute-lft-out_binary64_18262` `sum-log_binary64_18402` `frac-add_binary64_18319` `flip3-+_binary64_18314`

Counts

3 → 55

Calls

3 calls:

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

series223.0ms (5%)

Counts

3 → 9

Calls

3 calls:

146.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
39.0ms	(/.f64 (.f64 x x) (.f64 y y))
38.0ms	(/.f64 (.f64 z z) (.f64 t t))

simplify52.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4963	879
1	4963	879

prune147.0ms (3.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	56	8	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	8	65

Merged error: 4.1b

Counts

65 → 8

Compiler

Compiled 2687 to 1360 computations (49.4% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y))) (/.f64 (.f64 z z) (*.f64 t t)))
0.3b	(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)))
22.4b	(/.f64 (.f64 z z) (.f64 t t))

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-cbrt-cube_binary64_18347` `add-exp-log_binary64_18349`
10×	`pow1_binary64_18372`
9×	`add-sqr-sqrt_binary64_18333`
7×	`*-un-lft-identity_binary64_18311` `add-cube-cbrt_binary64_18346`
5×	`cbrt-unprod_binary64_18344` `add-log-exp_binary64_18350` `prod-exp_binary64_18360`
4×	`cbrt-undiv_binary64_18345` `div-exp_binary64_18362`
3×	`associate-l_binary64_18252` `associate-r_binary64_18251` `swap-sqr_binary64_18278`
1×	`unswap-sqr_binary64_18279` `associate-/l_binary64_18256` `+-commutative_binary64_18241` `associate-/r_binary64_18255` `clear-num_binary64_18310` `frac-2neg_binary64_18322` `div-inv_binary64_18308` `flip-+_binary64_18285` `pow-plus_binary64_18374` `pow-prod-up_binary64_18381` `times-frac_binary64_18317` `sum-log_binary64_18402` `pow-sqr_binary64_18284` `pow2_binary64_18392` `*-commutative_binary64_18242` `flip3-+_binary64_18314` `sqr-abs_binary64_18326` `pow-prod-down_binary64_18382`

Counts

3 → 58

Calls

3 calls:

7.0ms	(/.f64 (.f64 z z) (.f64 t t))
6.0ms	(+.f64 (.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y))) (/.f64 (.f64 z z) (*.f64 t t)))
4.0ms	(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)))

series212.0ms (4.8%)

Counts

3 → 9

Calls

3 calls:

144.0ms	(+.f64 (.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y))) (/.f64 (.f64 z z) (*.f64 t t)))
40.0ms	(/.f64 (.f64 z z) (.f64 t t))
27.0ms	(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)))

simplify76.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5025	835

prune157.0ms (3.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	60	7	67
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	65	10	75

Merged error: 0.1b

Counts

75 → 10

Compiler

Compiled 3104 to 1586 computations (48.9% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y))) (*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t))))

0.3b

(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))

0.3b

(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`pow1_binary64_18372`
15×	`add-sqr-sqrt_binary64_18333`
11×	`*-un-lft-identity_binary64_18311` `add-cube-cbrt_binary64_18346`
7×	`add-cbrt-cube_binary64_18347` `add-exp-log_binary64_18349`
6×	`associate-l_binary64_18252` `associate-r_binary64_18251` `swap-sqr_binary64_18278`
5×	`add-log-exp_binary64_18350`
2×	`unswap-sqr_binary64_18279` `pow-plus_binary64_18374` `pow-prod-up_binary64_18381` `cbrt-unprod_binary64_18344` `pow-sqr_binary64_18284` `prod-exp_binary64_18360` `pow2_binary64_18392` `*-commutative_binary64_18242` `sqr-abs_binary64_18326` `pow-prod-down_binary64_18382`
1×	`+-commutative_binary64_18241` `flip-+_binary64_18285` `sum-log_binary64_18402` `flip3-+_binary64_18314`

Counts

3 → 63

Calls

3 calls:

4.0ms

(+.f64 (*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y))) (*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t))))

4.0ms

(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)))

4.0ms

(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))

series126.0ms (2.8%)

Counts

3 → 9

Calls

3 calls:

76.0ms

(+.f64 (*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y))) (*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t))))

25.0ms

(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)))

24.0ms

(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))

simplify65.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5030	805

prune212.0ms (4.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	66	6	72
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	70	12	82

Merged error: 0.0b

Counts

82 → 12

Compiler

Compiled 4272 to 2314 computations (45.8% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sqrt.f64 (fabs.f64 (/.f64 x y))) (pow.f64 (fabs.f64 (/.f64 x y)) 3/2))
0.2b	(pow.f64 (fabs.f64 (/.f64 x y)) 3/2)
0.3b	(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))
12.1b	(sqrt.f64 (fabs.f64 (/.f64 x y)))

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_18333`
15×	`*-un-lft-identity_binary64_18311` `add-cube-cbrt_binary64_18346`
14×	`pow1_binary64_18372`
12×	`add-exp-log_binary64_18349`
10×	`associate-r_binary64_18251`
9×	`associate-l_binary64_18252` `sqrt-prod_binary64_18327`
8×	`add-cbrt-cube_binary64_18347` `unpow-prod-down_binary64_18390`
7×	`unswap-sqr_binary64_18279`
4×	`add-log-exp_binary64_18350` `prod-exp_binary64_18360` `sqr-pow_binary64_18283`
3×	`pow-unpow_binary64_18388` `pow-prod-up_binary64_18381` `swap-sqr_binary64_18278`
2×	`pow-exp_binary64_18379` `sqrt-pow1_binary64_18329` `cbrt-unprod_binary64_18344` `pow1/2_binary64_18391` `pow-to-exp_binary64_18380` `*-commutative_binary64_18242`
1×	`pow-plus_binary64_18374` `pow-sqr_binary64_18284` `pow2_binary64_18392` `pow-pow_binary64_18383` `sqr-abs_binary64_18326` `rem-sqrt-square_binary64_18324` `pow-prod-down_binary64_18382`

Counts

4 → 89

Calls

4 calls:

8.0ms	(*.f64 (sqrt.f64 (fabs.f64 (/.f64 x y))) (pow.f64 (fabs.f64 (/.f64 x y)) 3/2))
4.0ms	(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))
2.0ms	(pow.f64 (fabs.f64 (/.f64 x y)) 3/2)
2.0ms	(sqrt.f64 (fabs.f64 (/.f64 x y)))

series146.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

66.0ms	(pow.f64 (fabs.f64 (/.f64 x y)) 3/2)
28.0ms	(*.f64 (sqrt.f64 (fabs.f64 (/.f64 x y))) (pow.f64 (fabs.f64 (/.f64 x y)) 3/2))
27.0ms	(sqrt.f64 (fabs.f64 (/.f64 x y)))
26.0ms	(*.f64 (fabs.f64 (/.f64 z t)) (fabs.f64 (/.f64 z t)))

simplify63.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5036	1236

prune244.0ms (5.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	101	12	113

Merged error: 0.0b

Counts

113 → 12

Compiler

Compiled 5250 to 2474 computations (52.9% saved)

regimes201.0ms (4.5%)

Compiler: Compiled 2082 to 1454 computations (30.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	30
1	13	30

end0.0ms (0%)

sample1.3s (29%)

Algorithm

1×

intervals

Results

345.0ms	8000×	body	128	valid
269.0ms	6082×	body	128	invalid

Compiler

Compiled 322 to 222 computations (31.1% saved)

Details

analyze871.0ms (19.7%)

sample33.0ms (0.7%)

simplify164.0ms (3.7%)

prune2.0ms (0.1%)

localize10.0ms (0.2%)

rewrite30.0ms (0.7%)

series223.0ms (5%)

simplify52.0ms (1.2%)

prune147.0ms (3.3%)

localize10.0ms (0.2%)

rewrite22.0ms (0.5%)

series212.0ms (4.8%)

simplify76.0ms (1.7%)

prune157.0ms (3.5%)

localize13.0ms (0.3%)

rewrite19.0ms (0.4%)

series126.0ms (2.8%)

simplify65.0ms (1.5%)

prune212.0ms (4.8%)

localize20.0ms (0.5%)

rewrite25.0ms (0.6%)

series146.0ms (3.3%)

simplify63.0ms (1.4%)

prune244.0ms (5.5%)

regimes201.0ms (4.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.3s (29%)

Profiling