Details

analyze1.7s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.2%	98.5%	0.3%	13
1.8%	97.9%	0.3%	14

sample54.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
7.0ms	127×	body	80	invalid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	937	25
1	937	25

prune9.0ms

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: 0.0b

Counts

2 → 1

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
0.0b	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
0.0b	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp_binary64_539`
10×	`*-un-lft-identity_binary64_574`
6×	`sum-log_binary64_489`
5×	`add-sqr-sqrt_binary64_559`
4×	`diff-log_binary64_490`
3×	`add-cube-cbrt_binary64_545` `pow1_binary64_520` `add-cbrt-cube_binary64_546` `flip3-+_binary64_572` `flip-+_binary64_599` `add-exp-log_binary64_538`
2×	`frac-sub_binary64_565` `associate-+l+_binary64_626` `+-commutative_binary64_641` `associate--l+_binary64_630` `distribute-lft-out--_binary64_619` `sub-neg_binary64_578` `distribute-lft-out_binary64_618`
1×	`flip3--_binary64_573` `associate-+l-_binary64_628` `flip--_binary64_600` `difference-of-squares_binary64_603`

Counts

3 → 46

Calls

3 calls:

13.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
6.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
10.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))

series270.0ms

Counts

3 → 9

Calls

3 calls:

141.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
44.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
84.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))

simplify60.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5567	1537

prune224.0ms

Filtered

45 candidates to 55 candidates (-22.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	3	56

Merged error: 0.0b

Counts

56 → 3

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (-.f64 (/.f64 (.f64 z t) 16) (/.f64 (.f64 a b) 4)) (.f64 x y))) (cbrt.f64 (+.f64 (-.f64 (/.f64 (.f64 z t) 16) (/.f64 (.f64 a b) 4)) (*.f64 x y))))
0.6b	(cbrt.f64 (+.f64 (-.f64 (/.f64 (.f64 z t) 16) (/.f64 (.f64 a b) 4)) (*.f64 x y)))
0.6b	(cbrt.f64 (+.f64 (-.f64 (/.f64 (.f64 z t) 16) (/.f64 (.f64 a b) 4)) (*.f64 x y)))
0.6b	(cbrt.f64 (+.f64 (-.f64 (/.f64 (.f64 z t) 16) (/.f64 (.f64 a b) 4)) (*.f64 x y)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_541`
23×	`add-sqr-sqrt_binary64_559`
18×	`cbrt-div_binary64_542`
15×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545`
11×	`pow1_binary64_520`
9×	`pow1/3_binary64_512` `flip3-+_binary64_572` `flip-+_binary64_599`
6×	`associate-l_binary64_634` `swap-sqr_binary64_601` `associate-r_binary64_633` `add-exp-log_binary64_538`
4×	`frac-times_binary64_566` `add-cbrt-cube_binary64_546` `unswap-sqr_binary64_602` `add-log-exp_binary64_539`
2×	`pow-prod-up_binary64_500` `associate-l/_binary64_636` `pow-sqr_binary64_607` `pow-prod-down_binary64_501` `associate-r/_binary64_635`
1×	`pow-plus_binary64_515` `pow2_binary64_511` `cbrt-unprod_binary64_543` `*-commutative_binary64_642` `prod-exp_binary64_525`

Counts

4 → 87

Calls

4 calls:

25.0ms	(.f64 (cbrt.f64 (+.f64 (-.f64 (/.f64 (.f64 z t) 16) (/.f64 (.f64 a b) 4)) (.f64 x y))) (cbrt.f64 (+.f64 (-.f64 (/.f64 (.f64 z t) 16) (/.f64 (.f64 a b) 4)) (*.f64 x y))))
10.0ms	(cbrt.f64 (+.f64 (-.f64 (/.f64 (.f64 z t) 16) (/.f64 (.f64 a b) 4)) (*.f64 x y)))
10.0ms	(cbrt.f64 (+.f64 (-.f64 (/.f64 (.f64 z t) 16) (/.f64 (.f64 a b) 4)) (*.f64 x y)))
11.0ms	(cbrt.f64 (+.f64 (-.f64 (/.f64 (.f64 z t) 16) (/.f64 (.f64 a b) 4)) (*.f64 x y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

427.0ms	(.f64 (cbrt.f64 (+.f64 (-.f64 (/.f64 (.f64 z t) 16) (/.f64 (.f64 a b) 4)) (.f64 x y))) (cbrt.f64 (+.f64 (-.f64 (/.f64 (.f64 z t) 16) (/.f64 (.f64 a b) 4)) (*.f64 x y))))
214.0ms	(cbrt.f64 (+.f64 (-.f64 (/.f64 (.f64 z t) 16) (/.f64 (.f64 a b) 4)) (*.f64 x y)))
215.0ms	(cbrt.f64 (+.f64 (-.f64 (/.f64 (.f64 z t) 16) (/.f64 (.f64 a b) 4)) (*.f64 x y)))
214.0ms	(cbrt.f64 (+.f64 (-.f64 (/.f64 (.f64 z t) 16) (/.f64 (.f64 a b) 4)) (*.f64 x y)))

simplify107.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5347	4222

prune444.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0.0b

Counts

102 → 3

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 z t) 16) (.f64 x y))
0.1b	(sqrt.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)))
0.1b	(sqrt.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)))
0.2b	(.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y))) (sqrt.f64 (+.f64 (/.f64 (.f64 z t) 16) (*.f64 x y))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_559`
24×	`sqrt-prod_binary64_553`
21×	`pow1_binary64_520`
16×	`sqrt-div_binary64_554`
14×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545`
10×	`sqrt-pow1_binary64_555` `pow1/2_binary64_510`
9×	`flip3-+_binary64_572` `flip-+_binary64_599`
8×	`swap-sqr_binary64_601`
6×	`associate-l_binary64_634` `add-cbrt-cube_binary64_546` `associate-r_binary64_633` `add-exp-log_binary64_538` `add-log-exp_binary64_539`
5×	`pow-prod-up_binary64_500`
4×	`frac-times_binary64_566` `unswap-sqr_binary64_602`
3×	`pow-sqr_binary64_607` `pow-prod-down_binary64_501`
2×	`rem-sqrt-square_binary64_562` `associate-l/_binary64_636` `associate-r/_binary64_635`
1×	`pow-plus_binary64_515` `rem-square-sqrt_binary64_561` `+-commutative_binary64_641` `pow2_binary64_511` `sqrt-unprod_binary64_557` `cbrt-unprod_binary64_543` `*-commutative_binary64_642` `sum-log_binary64_489` `prod-exp_binary64_525`

Counts

4 → 98

Calls

4 calls:

6.0ms	(+.f64 (/.f64 (.f64 z t) 16) (.f64 x y))
7.0ms	(sqrt.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)))
6.0ms	(sqrt.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)))
16.0ms	(.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y))) (sqrt.f64 (+.f64 (/.f64 (.f64 z t) 16) (*.f64 x y))))

series245.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+.f64 (/.f64 (.f64 z t) 16) (.f64 x y))
76.0ms	(sqrt.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)))
74.0ms	(sqrt.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)))
51.0ms	(.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y))) (sqrt.f64 (+.f64 (/.f64 (.f64 z t) 16) (*.f64 x y))))

simplify89.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4975	2412
1	4975	2412

prune38.0ms

Filtered: 70 candidates to 110 candidates (-57.1%)

Details

analyze1.7s

sample54.0ms

simplify73.0ms

prune9.0ms

localize26.0ms

rewrite30.0ms

series270.0ms

simplify60.0ms

prune224.0ms

localize31.0ms

rewrite59.0ms

series1.1s

simplify107.0ms

prune444.0ms

localize22.0ms

rewrite39.0ms

series245.0ms

simplify89.0ms

prune38.0ms

Profiling