Details

analyze1.0s (25.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4914	91
1	4914	91
0	4	4
1	4	4

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
3.1%	96.7%	0.2%	8
17.2%	82.7%	0.2%	9
21.8%	78%	0.2%	10
30%	68.8%	1.2%	11
31.8%	65.3%	2.9%	12
40.1%	55.3%	4.6%	13
44.5%	50.1%	5.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample22.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
3.0ms	84×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify70.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 2.4b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
7.7b	(*.f64 (/.f64 x y) (-.f64 z t))

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_14763`
16×	`*-un-lft-identity_binary64_14741`
14×	`add-cube-cbrt_binary64_14776`
13×	`associate-l_binary64_14682`
12×	`cancel-sign-sub-inv_binary64_14707`
10×	`times-frac_binary64_14747`
8×	`associate-+l+_binary64_14674` `distribute-lft-in_binary64_14690` `distribute-rgt-in_binary64_14691`
7×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
5×	`associate-r_binary64_14681`
4×	`add-log-exp_binary64_14780` `sub-neg_binary64_14734` `pow1_binary64_14802`
2×	`unswap-sqr_binary64_14709` `frac-times_binary64_14751` `cbrt-unprod_binary64_14774` `associate-*r/_binary64_14683` `prod-exp_binary64_14790` `flip--_binary64_14716` `flip3--_binary64_14745`
1×	`distribute-lft-out--_binary64_14693` `div-inv_binary64_14738` `cbrt-undiv_binary64_14775` `pow-prod-down_binary64_14812` `div-exp_binary64_14792` `+-commutative_binary64_14671` `associate-l/_binary64_14684` `-commutative_binary64_14672` `flip-+_binary64_14715` `sum-log_binary64_14832` `difference-of-squares_binary64_14710` `flip3-+_binary64_14744`

Counts

2 → 65

Calls

2 calls:

10.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
10.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

series106.0ms (2.6%)

Counts

2 → 6

Calls

2 calls:

62.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
44.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

simplify86.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5067	1022

prune71.0ms (1.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	63	8	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	8	72

Merged error: 0.0b

Counts

72 → 8

Compiler

Compiled 1167 to 293 computations (74.9% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
1.4b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) (cbrt.f64 y))))

rewrite39.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

73×	`add-exp-log_binary64_14779`
39×	`add-cbrt-cube_binary64_14777`
37×	`cbrt-unprod_binary64_14774` `prod-exp_binary64_14790`
17×	`cbrt-undiv_binary64_14775` `div-exp_binary64_14792`
9×	`frac-times_binary64_14751` `cbrt-prod_binary64_14772` `pow1_binary64_14802`
8×	`add-sqr-sqrt_binary64_14763` `*-un-lft-identity_binary64_14741` `add-cube-cbrt_binary64_14776`
7×	`associate-*r/_binary64_14683`
5×	`associate-l/_binary64_14684` `associate-l*_binary64_14682`
4×	`add-log-exp_binary64_14780` `flip--_binary64_14716` `flip3--_binary64_14745`
3×	`pow1/3_binary64_14823` `pow-prod-down_binary64_14812`
1×	`times-frac_binary64_14747` `div-inv_binary64_14738` `-commutative_binary64_14672` `associate-r*_binary64_14681`

Counts

4 → 90

Calls

4 calls:

22.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series334.0ms (8.2%)

Counts

4 → 12

Calls

4 calls:

93.0ms	(cbrt.f64 y)
88.0ms	(cbrt.f64 y)
84.0ms	(cbrt.f64 y)
68.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) (cbrt.f64 y))))

simplify56.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5013	1134

prune86.0ms (2.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	102	8	110

Merged error: 0.0b

Counts

110 → 8

Compiler

Compiled 2122 to 512 computations (75.9% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 t (*.f64 (/.f64 x y) t))
0.0b	(+.f64 (.f64 z (/.f64 x y)) (-.f64 t (.f64 (/.f64 x y) t)))
5.4b	(*.f64 (/.f64 x y) t)
5.8b	(*.f64 z (/.f64 x y))

rewrite33.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_14763`
21×	`*-un-lft-identity_binary64_14741`
20×	`times-frac_binary64_14747` `add-cube-cbrt_binary64_14776`
16×	`associate-l_binary64_14682` `associate-r_binary64_14681`
14×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
11×	`add-log-exp_binary64_14780`
8×	`pow1_binary64_14802`
4×	`unswap-sqr_binary64_14709` `cbrt-unprod_binary64_14774` `prod-exp_binary64_14790`
3×	`associate-*r/_binary64_14683`
2×	`frac-add_binary64_14749` `div-inv_binary64_14738` `cbrt-undiv_binary64_14775` `pow-prod-down_binary64_14812` `cancel-sign-sub-inv_binary64_14707` `div-exp_binary64_14792` `diff-log_binary64_14833` `sub-neg_binary64_14734` `*-commutative_binary64_14672` `flip--_binary64_14716` `sum-log_binary64_14832` `flip3--_binary64_14745` `associate-+r+_binary64_14673`
1×	`+-commutative_binary64_14671` `associate-*l/_binary64_14684` `distribute-rgt-out--_binary64_14695` `flip-+_binary64_14715` `flip3-+_binary64_14744` `associate-+r-_binary64_14675`

Counts

4 → 94

Calls

4 calls:

8.0ms	(+.f64 (.f64 z (/.f64 x y)) (-.f64 t (.f64 (/.f64 x y) t)))
7.0ms	(*.f64 z (/.f64 x y))
7.0ms	(*.f64 (/.f64 x y) t)
3.0ms	(-.f64 t (*.f64 (/.f64 x y) t))

series120.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(+.f64 (.f64 z (/.f64 x y)) (-.f64 t (.f64 (/.f64 x y) t)))
26.0ms	(-.f64 t (*.f64 (/.f64 x y) t))
26.0ms	(*.f64 (/.f64 x y) t)
21.0ms	(*.f64 z (/.f64 x y))

simplify81.0ms (2%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4981	1378
1	4981	1378

prune77.0ms (1.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	106	8	114

Merged error: 0.0b

Counts

114 → 8

Compiler

Compiled 2004 to 422 computations (78.9% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
0.0b	(/.f64 (-.f64 z t) y)
5.9b	(*.f64 x (/.f64 (-.f64 z t) y))

rewrite34.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64_14763`
37×	`*-un-lft-identity_binary64_14741`
31×	`times-frac_binary64_14747`
23×	`add-cube-cbrt_binary64_14776`
19×	`associate-r_binary64_14681`
10×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
7×	`distribute-lft-out--_binary64_14693` `difference-of-squares_binary64_14710`
5×	`add-log-exp_binary64_14780` `associate-/l*_binary64_14686` `pow1_binary64_14802`
3×	`associate-/r_binary64_14685` `associate-l*_binary64_14682`
2×	`unswap-sqr_binary64_14709` `div-inv_binary64_14738` `cbrt-undiv_binary64_14775` `cbrt-unprod_binary64_14774` `associate-/l/_binary64_14688` `div-exp_binary64_14792` `prod-exp_binary64_14790`
1×	`div-sub_binary64_14746` `frac-2neg_binary64_14752` `pow-prod-down_binary64_14812` `associate-r/_binary64_14683` `+-commutative_binary64_14671` `-commutative_binary64_14672` `flip--_binary64_14716` `flip-+_binary64_14715` `sum-log_binary64_14832` `flip3--_binary64_14745` `clear-num_binary64_14740` `flip3-+_binary64_14744`

Counts

3 → 87

Calls

3 calls:

10.0ms	(*.f64 x (/.f64 (-.f64 z t) y))
8.0ms	(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
6.0ms	(/.f64 (-.f64 z t) y)

series131.0ms (3.2%)

Counts

3 → 9

Calls

3 calls:

56.0ms	(*.f64 x (/.f64 (-.f64 z t) y))
50.0ms	(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
25.0ms	(/.f64 (-.f64 z t) y)

simplify97.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	6090	1341

prune66.0ms (1.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	2	3	5
Picked	1	0	1
Done	0	2	2
Total	96	8	104

Merged error: 0.0b

Counts

104 → 8

Compiler

Compiled 1454 to 319 computations (78.1% saved)

regimes341.0ms (8.3%)

Compiler: Compiled 3396 to 2347 computations (30.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	37
1	28	37

end0.0ms (0%)

sample1.1s (27.5%)

Algorithm

1×

intervals

Results

266.0ms	8000×	body	128	valid
78.0ms	2089×	body	128	invalid

Compiler

Compiled 593 to 402 computations (32.2% saved)

Details

analyze1.0s (25.6%)

sample22.0ms (0.5%)

simplify70.0ms (1.7%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite25.0ms (0.6%)

series106.0ms (2.6%)

simplify86.0ms (2.1%)

prune71.0ms (1.7%)

localize15.0ms (0.4%)

rewrite39.0ms (0.9%)

series334.0ms (8.2%)

simplify56.0ms (1.4%)

prune86.0ms (2.1%)

localize8.0ms (0.2%)

rewrite33.0ms (0.8%)

series120.0ms (2.9%)

simplify81.0ms (2%)

prune77.0ms (1.9%)

localize7.0ms (0.2%)

rewrite34.0ms (0.8%)

series131.0ms (3.2%)

simplify97.0ms (2.4%)

prune66.0ms (1.6%)

regimes341.0ms (8.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (27.5%)

Profiling