Details

analyze674.0ms (15.5%)

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
9.4%	90.4%	0.2%	8
9.4%	90.4%	0.2%	9
10.9%	88.9%	0.2%	10
25.9%	73.9%	0.2%	11
47.1%	52.7%	0.2%	12
55.3%	44.5%	0.2%	13
59.2%	40.6%	0.2%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample24.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 35 to 33 computations (5.7% saved)

simplify221.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4903	19
1	4903	19

prune6.0ms (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: 1.7b

Counts

2 → 2

Compiler

Compiled 73 to 61 computations (16.4% saved)

localize202.0ms (4.6%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (-.f64 (/.f64 (.f64 y t) (.f64 2 z)) z)))
5.0b	(/.f64 y (-.f64 (/.f64 (.f64 y t) (.f64 2 z)) z))
5.1b	(/.f64 (.f64 y t) (.f64 2 z))

rewrite38.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64_14183`
21×	`add-sqr-sqrt_binary64_14205`
17×	`add-cbrt-cube_binary64_14219` `add-exp-log_binary64_14221`
16×	`times-frac_binary64_14189`
13×	`add-cube-cbrt_binary64_14218`
6×	`associate-/r*_binary64_14127`
5×	`cbrt-undiv_binary64_14217` `div-exp_binary64_14234` `add-log-exp_binary64_14222`
4×	`prod-exp_binary64_14232` `associate-/l*_binary64_14128` `difference-of-squares_binary64_14152` `distribute-lft-out--_binary64_14135` `cbrt-unprod_binary64_14216`
3×	`pow1_binary64_14244`
2×	`clear-num_binary64_14182` `div-inv_binary64_14180` `frac-2neg_binary64_14194` `associate-/r/_binary64_14129`
1×	`flip--_binary64_14158` `distribute-lft-out_binary64_14134` `flip3-+_binary64_14186` `flip3--_binary64_14187` `sum-log_binary64_14274` `flip-+_binary64_14157` `+-commutative_binary64_14113`

Counts

3 → 70

Calls

3 calls:

15.0ms	(+.f64 x (/.f64 y (-.f64 (/.f64 (.f64 y t) (.f64 2 z)) z)))
11.0ms	(/.f64 y (-.f64 (/.f64 (.f64 y t) (.f64 2 z)) z))
6.0ms	(/.f64 (.f64 y t) (.f64 2 z))

series287.0ms (6.6%)

Counts

3 → 9

Calls

3 calls:

127.0ms	(+.f64 x (/.f64 y (-.f64 (/.f64 (.f64 y t) (.f64 2 z)) z)))
117.0ms	(/.f64 y (-.f64 (/.f64 (.f64 y t) (.f64 2 z)) z))
43.0ms	(/.f64 (.f64 y t) (.f64 2 z))

simplify53.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5296	1581

prune177.0ms (4.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	75	6	81

Merged error: 0.5b

Counts

81 → 6

Compiler

Compiled 3300 to 2124 computations (35.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (-.f64 (*.f64 (/.f64 y 2) (/.f64 t z)) z)))
2.7b	(*.f64 (/.f64 y 2) (/.f64 t z))
5.0b	(/.f64 y (-.f64 (*.f64 (/.f64 y 2) (/.f64 t z)) z))

rewrite46.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64_14205`
31×	`times-frac_binary64_14189`
27×	`*-un-lft-identity_binary64_14183`
25×	`add-cube-cbrt_binary64_14218`
17×	`add-cbrt-cube_binary64_14219` `add-exp-log_binary64_14221`
13×	`associate-l_binary64_14124` `associate-r_binary64_14123`
5×	`cbrt-undiv_binary64_14217` `div-exp_binary64_14234` `pow1_binary64_14244` `add-log-exp_binary64_14222`
4×	`prod-exp_binary64_14232` `unswap-sqr_binary64_14151` `cbrt-unprod_binary64_14216`
3×	`div-inv_binary64_14180` `associate-/l_binary64_14128` `associate-/r_binary64_14127`
2×	`associate-/r/_binary64_14129`
1×	`clear-num_binary64_14182` `flip--_binary64_14158` `distribute-lft-out_binary64_14134` `frac-times_binary64_14193` `associate-r/_binary64_14125` `flip3-+_binary64_14186` `flip3--_binary64_14187` `associate-l/_binary64_14126` `*-commutative_binary64_14114` `sum-log_binary64_14274` `pow-prod-down_binary64_14254` `frac-2neg_binary64_14194` `flip-+_binary64_14157` `+-commutative_binary64_14113`

Counts

3 → 91

Calls

3 calls:

14.0ms	(*.f64 (/.f64 y 2) (/.f64 t z))
14.0ms	(+.f64 x (/.f64 y (-.f64 (*.f64 (/.f64 y 2) (/.f64 t z)) z)))
10.0ms	(/.f64 y (-.f64 (*.f64 (/.f64 y 2) (/.f64 t z)) z))

series308.0ms (7.1%)

Counts

3 → 9

Calls

3 calls:

135.0ms	(/.f64 y (-.f64 (*.f64 (/.f64 y 2) (/.f64 t z)) z))
126.0ms	(+.f64 x (/.f64 y (-.f64 (*.f64 (/.f64 y 2) (/.f64 t z)) z)))
46.0ms	(*.f64 (/.f64 y 2) (/.f64 t z))

simplify73.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4956	1792
1	4956	1792

prune121.0ms (2.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	4	1	5
Picked	0	1	1
Done	0	0	0
Total	101	5	106

Merged error: 0.0b

Counts

106 → 5

Compiler

Compiled 2498 to 1422 computations (43.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 t (*.f64 2 z)) (/.f64 z y))
0.0b	(+.f64 x (/.f64 1 (-.f64 (/.f64 t (*.f64 2 z)) (/.f64 z y))))
0.8b	(/.f64 1 (-.f64 (/.f64 t (*.f64 2 z)) (/.f64 z y)))

rewrite57.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64_14205`
34×	`*-un-lft-identity_binary64_14183`
32×	`times-frac_binary64_14189`
21×	`add-cube-cbrt_binary64_14218`
13×	`cancel-sign-sub-inv_binary64_14149`
10×	`difference-of-squares_binary64_14152`
7×	`add-exp-log_binary64_14221` `add-log-exp_binary64_14222`
6×	`associate-/r*_binary64_14127`
5×	`add-cbrt-cube_binary64_14219` `distribute-lft-out--_binary64_14135`
4×	`pow1_binary64_14244`
3×	`div-inv_binary64_14180` `associate-/l*_binary64_14128` `associate-/r/_binary64_14129`
2×	`flip--_binary64_14158` `distribute-lft-out_binary64_14134` `flip3--_binary64_14187` `div-exp_binary64_14234` `frac-sub_binary64_14192`
1×	`clear-num_binary64_14182` `sub-neg_binary64_14176` `inv-pow_binary64_14268` `cbrt-undiv_binary64_14217` `flip3-+_binary64_14186` `diff-log_binary64_14275` `sum-log_binary64_14274` `1-exp_binary64_14227` `pow-flip_binary64_14257` `frac-2neg_binary64_14194` `rec-exp_binary64_14233` `flip-+_binary64_14157` `+-commutative_binary64_14113`

Counts

3 → 87

Calls

3 calls:

20.0ms	(+.f64 x (/.f64 1 (-.f64 (/.f64 t (*.f64 2 z)) (/.f64 z y))))
15.0ms	(/.f64 1 (-.f64 (/.f64 t (*.f64 2 z)) (/.f64 z y)))
13.0ms	(-.f64 (/.f64 t (*.f64 2 z)) (/.f64 z y))

series377.0ms (8.7%)

Counts

3 → 9

Calls

3 calls:

197.0ms	(/.f64 1 (-.f64 (/.f64 t (*.f64 2 z)) (/.f64 z y)))
121.0ms	(+.f64 x (/.f64 1 (-.f64 (/.f64 t (*.f64 2 z)) (/.f64 z y))))
59.0ms	(-.f64 (/.f64 t (*.f64 2 z)) (/.f64 z y))

simplify74.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4858	1951
1	4858	1951

prune121.0ms (2.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	96	5	101

Merged error: 0b

Counts

101 → 5

Compiler

Compiled 2400 to 1496 computations (37.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 y (/.f64 1 (-.f64 (.f64 (/.f64 y 2) (/.f64 t z)) z))))
0.5b	(/.f64 1 (-.f64 (*.f64 (/.f64 y 2) (/.f64 t z)) z))
2.7b	(*.f64 (/.f64 y 2) (/.f64 t z))
4.8b	(.f64 y (/.f64 1 (-.f64 (.f64 (/.f64 y 2) (/.f64 t z)) z)))

rewrite54.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

53×	`add-sqr-sqrt_binary64_14205`
42×	`times-frac_binary64_14189`
35×	`*-un-lft-identity_binary64_14183`
34×	`add-cube-cbrt_binary64_14218`
29×	`add-exp-log_binary64_14221`
28×	`associate-r_binary64_14123`
23×	`add-cbrt-cube_binary64_14219`
16×	`associate-l_binary64_14124`
9×	`pow1_binary64_14244`
8×	`prod-exp_binary64_14232` `div-exp_binary64_14234`
7×	`unswap-sqr_binary64_14151`
6×	`cbrt-undiv_binary64_14217` `cbrt-unprod_binary64_14216` `add-log-exp_binary64_14222`
4×	`div-inv_binary64_14180` `associate-/r/_binary64_14129`
3×	`associate-/l_binary64_14128` `associate-/r_binary64_14127`
2×	`flip--_binary64_14158` `associate-r/_binary64_14125` `flip3--_binary64_14187` `-commutative_binary64_14114` `1-exp_binary64_14227` `pow-prod-down_binary64_14254` `rec-exp_binary64_14233`
1×	`clear-num_binary64_14182` `frac-times_binary64_14193` `inv-pow_binary64_14268` `flip3-+_binary64_14186` `associate-*l/_binary64_14126` `sum-log_binary64_14274` `un-div-inv_binary64_14181` `pow-flip_binary64_14257` `frac-2neg_binary64_14194` `flip-+_binary64_14157` `+-commutative_binary64_14113`

Counts

4 → 132

Calls

4 calls:

15.0ms	(.f64 y (/.f64 1 (-.f64 (.f64 (/.f64 y 2) (/.f64 t z)) z)))
12.0ms	(*.f64 (/.f64 y 2) (/.f64 t z))
11.0ms	(/.f64 1 (-.f64 (*.f64 (/.f64 y 2) (/.f64 t z)) z))
4.0ms	(+.f64 x (.f64 y (/.f64 1 (-.f64 (.f64 (/.f64 y 2) (/.f64 t z)) z))))

series383.0ms (8.8%)

Counts

4 → 12

Calls

4 calls:

125.0ms	(.f64 y (/.f64 1 (-.f64 (.f64 (/.f64 y 2) (/.f64 t z)) z)))
115.0ms	(+.f64 x (.f64 y (/.f64 1 (-.f64 (.f64 (/.f64 y 2) (/.f64 t z)) z))))
103.0ms	(/.f64 1 (-.f64 (*.f64 (/.f64 y 2) (/.f64 t z)) z))
40.0ms	(*.f64 (/.f64 y 2) (/.f64 t z))

simplify79.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4964	2551
1	4964	2551

prune147.0ms (3.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	144	5	149

Merged error: 0b

Counts

149 → 5

Compiler

Compiled 3163 to 1783 computations (43.6% saved)

regimes85.0ms (1.9%)

Compiler: Compiled 582 to 512 computations (12% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	19
1	32	19

end0.0ms (0%)

sample719.0ms (16.5%)

Algorithm

1×

intervals

Results

372.0ms

8000×

body

128

valid

Compiler

Compiled 129 to 114 computations (11.6% saved)

Details

analyze674.0ms (15.5%)

sample24.0ms (0.6%)

simplify221.0ms (5.1%)

prune6.0ms (0.1%)

localize202.0ms (4.6%)

rewrite38.0ms (0.9%)

series287.0ms (6.6%)

simplify53.0ms (1.2%)

prune177.0ms (4.1%)

localize9.0ms (0.2%)

rewrite46.0ms (1.1%)

series308.0ms (7.1%)

simplify73.0ms (1.7%)

prune121.0ms (2.8%)

localize9.0ms (0.2%)

rewrite57.0ms (1.3%)

series377.0ms (8.7%)

simplify74.0ms (1.7%)

prune121.0ms (2.8%)

localize10.0ms (0.2%)

rewrite54.0ms (1.2%)

series383.0ms (8.8%)

simplify79.0ms (1.8%)

prune147.0ms (3.4%)

regimes85.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample719.0ms (16.5%)

Profiling