Details

analyze650.0ms (21.5%)

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
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)

sample19.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	56×	body	80	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify62.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	735	13
1	735	13

prune5.0ms (0.2%)

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: 1.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
7.6b	(*.f64 (/.f64 x y) (-.f64 z t))

rewrite20.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 53

Calls

2 calls:

9.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
9.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

series28.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
14.0ms	(*.f64 (/.f64 x y) (-.f64 z t))

simplify77.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4965	866
1	4965	866

prune50.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	5	60

Merged error: 0b

Counts

60 → 5

Compiler

Compiled 953 to 250 computations (73.8% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

6.9b	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
7.6b	(*.f64 (/.f64 x y) (-.f64 z t))
7.6b	(*.f64 (/.f64 x y) (-.f64 z t))
7.6b	(*.f64 (/.f64 x y) (-.f64 z t))

rewrite42.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-sqr-sqrt_binary64`
39×	`associate-l_binary64`
34×	`*-un-lft-identity_binary64`
30×	`times-frac_binary64`
28×	`add-cube-cbrt_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`associate-r_binary64`
10×	`pow1_binary64`
8×	`flip3--_binary64` `associate-*r/_binary64` `flip--_binary64` `frac-times_binary64`
6×	`sub-neg_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
5×	`cbrt-div_binary64`
4×	`add-log-exp_binary64` `associate-*l/_binary64`
3×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`pow1/3_binary64` `cbrt-prod_binary64`

Counts

4 → 134

Calls

4 calls:

10.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
10.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
9.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
6.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))

series74.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
14.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
13.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
13.0ms	(*.f64 (/.f64 x y) (-.f64 z t))

simplify72.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5025	2023

prune75.0ms (2.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	146	5	151

Merged error: 0b

Counts

151 → 5

Compiler

Compiled 4986 to 694 computations (86.1% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
2.5b	(*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y)))
3.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y))))

rewrite38.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`add-exp-log_binary64`
46×	`prod-exp_binary64`
35×	`add-cbrt-cube_binary64`
32×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
23×	`associate-r_binary64` `times-frac_binary64`
22×	`add-cube-cbrt_binary64`
20×	`cbrt-unprod_binary64` `div-exp_binary64`
16×	`cbrt-prod_binary64`
12×	`associate-l_binary64`
11×	`pow1_binary64` `frac-times_binary64`
10×	`cbrt-undiv_binary64`
8×	`associate-*r/_binary64`
7×	`associate-*l/_binary64`
6×	`flip3--_binary64` `1-exp_binary64` `rec-exp_binary64` `flip--_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64`
3×	`unswap-sqr_binary64`
2×	`pow1/3_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 129

Calls

4 calls:

18.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y))))
12.0ms	(*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series89.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

40.0ms	(*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y)))
20.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y))))
15.0ms	(cbrt.f64 y)
14.0ms	(cbrt.f64 y)

simplify110.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4966	1854
1	4966	1854

prune76.0ms (2.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	141	5	146

Merged error: 0b

Counts

146 → 5

Compiler

Compiled 2780 to 821 computations (70.5% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 z t) y)
0.0b	(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
7.9b	(*.f64 x (/.f64 (-.f64 z t) y))

rewrite29.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 87

Calls

3 calls:

11.0ms	(*.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)

series36.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

17.0ms	(*.f64 x (/.f64 (-.f64 z t) y))
12.0ms	(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
7.0ms	(/.f64 (-.f64 z t) y)

simplify90.0ms (3%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5888	1341

prune43.0ms (1.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	96	5	101

Merged error: 0b

Counts

101 → 5

Compiler

Compiled 1454 to 319 computations (78.1% saved)

regimes248.0ms (8.2%)

Compiler: Compiled 470 to 346 computations (26.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	13
1	21	13

end0.0ms (0%)

sample1.1s (35%)

Algorithm

1×

intervals

Results

237.0ms	8000×	body	80	valid
64.0ms	2093×	body	80	invalid

Compiler

Compiled 127 to 86 computations (32.3% saved)

Details

analyze650.0ms (21.5%)

sample19.0ms (0.6%)

simplify62.0ms (2.1%)

prune5.0ms (0.2%)

localize6.0ms (0.2%)

rewrite20.0ms (0.6%)

series28.0ms (0.9%)

simplify77.0ms (2.5%)

prune50.0ms (1.6%)

localize10.0ms (0.3%)

rewrite42.0ms (1.4%)

series74.0ms (2.4%)

simplify72.0ms (2.4%)

prune75.0ms (2.5%)

localize13.0ms (0.4%)

rewrite38.0ms (1.2%)

series89.0ms (2.9%)

simplify110.0ms (3.6%)

prune76.0ms (2.5%)

localize6.0ms (0.2%)

rewrite29.0ms (1%)

series36.0ms (1.2%)

simplify90.0ms (3%)

prune43.0ms (1.4%)

regimes248.0ms (8.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (35%)

Profiling