Details

analyze1.5s (18.6%)

Algorithm

1×

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
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

Compiler

Compiled 20 to 19 computations (5% saved)

sample43.0ms (0.5%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	80	valid
8.0ms	146×	body	80	invalid

Compiler

Compiled 39 to 44 computations (-12.8% saved)

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4987	25
1	4987	25

prune18.0ms (0.2%)

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: 8.5b

Counts

2 → 2

Compiler

Compiled 53 to 52 computations (1.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 a (.f64 t -4))
0.3b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 a (.f64 t -4)))
3.6b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
10.4b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 a (.f64 t -4))) c)

rewrite41.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `associate-/l_binary64`
4×	`associate-/l/_binary64`
3×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `flip-+_binary64`
2×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`associate-r_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

13.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 a (.f64 t -4))) c)
11.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 a (.f64 t -4)))
9.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
5.0ms	(.f64 a (.f64 t -4))

series104.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 a (.f64 t -4))) c)
39.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 a (.f64 t -4)))
14.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
4.0ms	(.f64 a (.f64 t -4))

simplify69.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5299	2382

prune151.0ms (1.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	90	9	99
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	91	10	101

Merged error: 7.9b

Counts

101 → 10

Compiler

Compiled 2785 to 1755 computations (37% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
4.9b	(/.f64 b (*.f64 z c))
6.4b	(/.f64 (*.f64 a t) c)
10.6b	(/.f64 (.f64 x y) (.f64 z c))

rewrite35.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`cbrt-unprod_binary64` `prod-exp_binary64`
12×	`cbrt-undiv_binary64` `add-sqr-sqrt_binary64` `div-exp_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`times-frac_binary64`
6×	`pow1_binary64`
5×	`associate-/r_binary64` `associate-r_binary64` `associate-/l_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64`
3×	`associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `-commutative_binary64`

Counts

4 → 92

Calls

4 calls:

12.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
6.0ms	(/.f64 (.f64 x y) (.f64 z c))
6.0ms	(/.f64 b (*.f64 z c))
5.0ms	(/.f64 (*.f64 a t) c)

series51.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
14.0ms	(/.f64 (.f64 x y) (.f64 z c))
9.0ms	(/.f64 (*.f64 a t) c)
9.0ms	(/.f64 b (*.f64 z c))

simplify151.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4965	1189
1	4965	1189

prune187.0ms (2.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	95	9	104
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	98	16	114

Merged error: 0.3b

Counts

114 → 16

Compiler

Compiled 3119 to 1189 computations (61.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
3.6b	(*.f64 a (/.f64 t c))
4.9b	(/.f64 b (*.f64 z c))
10.6b	(/.f64 (.f64 x y) (.f64 z c))

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`associate-r_binary64`
16×	`*-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
15×	`times-frac_binary64`
11×	`cbrt-undiv_binary64` `div-exp_binary64`
8×	`pow1_binary64`
6×	`associate-l_binary64`
4×	`add-log-exp_binary64` `associate-/l*_binary64` `div-inv_binary64`
3×	`unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `associate-/r_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`

Counts

4 → 103

Calls

4 calls:

8.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
7.0ms	(*.f64 a (/.f64 t c))
6.0ms	(/.f64 (.f64 x y) (.f64 z c))
5.0ms	(/.f64 b (*.f64 z c))

series32.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

13.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
9.0ms	(/.f64 (.f64 x y) (.f64 z c))
5.0ms	(/.f64 b (*.f64 z c))
5.0ms	(*.f64 a (/.f64 t c))

simplify115.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4990	1318
1	4990	1318

prune130.0ms (1.6%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	112	3	115
Fresh	2	13	15
Picked	0	1	1
Done	0	0	0
Total	114	17	131

Merged error: 0.0b

Counts

131 → 17

Compiler

Compiled 3473 to 1289 computations (62.9% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 9 (.f64 (/.f64 x z) (/.f64 y c)))
3.6b	(*.f64 a (/.f64 t c))
4.9b	(/.f64 b (*.f64 z c))
10.4b	(*.f64 (/.f64 x z) (/.f64 y c))

rewrite35.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64`
44×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
35×	`times-frac_binary64`
29×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
27×	`associate-r_binary64`
19×	`associate-l_binary64`
16×	`cbrt-unprod_binary64` `prod-exp_binary64`
13×	`pow1_binary64`
11×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`associate-*r/_binary64` `unswap-sqr_binary64`
5×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64`
3×	`associate-/l_binary64` `-commutative_binary64`
2×	`frac-times_binary64` `associate-*l/_binary64`
1×	`associate-/r*_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 130

Calls

4 calls:

10.0ms	(*.f64 (/.f64 x z) (/.f64 y c))
9.0ms	(.f64 9 (.f64 (/.f64 x z) (/.f64 y c)))
7.0ms	(*.f64 a (/.f64 t c))
4.0ms	(/.f64 b (*.f64 z c))

series30.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

11.0ms	(.f64 9 (.f64 (/.f64 x z) (/.f64 y c)))
9.0ms	(*.f64 (/.f64 x z) (/.f64 y c))
5.0ms	(*.f64 a (/.f64 t c))
5.0ms	(/.f64 b (*.f64 z c))

simplify95.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4970	1702
1	4970	1702

prune106.0ms (1.3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	137	5	142
Fresh	3	12	15
Picked	1	0	1
Done	1	0	1
Total	142	17	159

Merged error: 0.0b

Counts

159 → 17

Compiler

Compiled 3895 to 1212 computations (68.9% saved)

regimes1.7s (20.2%)

Compiler: Compiled 4646 to 3982 computations (14.3% saved)

bsearch1.0ms (0%)

Compiler: Compiled 19 to 18 computations (5.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	218	302
1	218	302

end0.0ms (0%)

sample3.5s (42.3%)

Algorithm

1×

intervals

Results

476.0ms	8000×	body	80	valid
297.0ms	4771×	body	80	invalid

Compiler

Compiled 891 to 635 computations (28.7% saved)

Details

analyze1.5s (18.6%)

sample43.0ms (0.5%)

simplify59.0ms (0.7%)

prune18.0ms (0.2%)

localize12.0ms (0.1%)

rewrite41.0ms (0.5%)

series104.0ms (1.3%)

simplify69.0ms (0.8%)

prune151.0ms (1.8%)

localize15.0ms (0.2%)

rewrite35.0ms (0.4%)

series51.0ms (0.6%)

simplify151.0ms (1.8%)

prune187.0ms (2.3%)

localize14.0ms (0.2%)

rewrite29.0ms (0.4%)

series32.0ms (0.4%)

simplify115.0ms (1.4%)

prune130.0ms (1.6%)

localize19.0ms (0.2%)

rewrite35.0ms (0.4%)

series30.0ms (0.4%)

simplify95.0ms (1.2%)

prune106.0ms (1.3%)

regimes1.7s (20.2%)

bsearch1.0ms (0%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample3.5s (42.3%)

Profiling