Details

analyze871.0ms (14%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5065	133
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
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)

sample27.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 35 to 33 computations (5.7% saved)

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5059	19

prune4.0ms (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

Error

2.1b

Counts

2 → 2

Compiler

Compiled 43 to 36 computations (16.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
4.7b	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
6.9b	(/.f64 (.f64 y t) (.f64 2 z))

rewrite140.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

41×	`add-sqr-sqrt_binary64_14763`
38×	`*-un-lft-identity_binary64_14741`
32×	`times-frac_binary64_14747`
22×	`add-cube-cbrt_binary64_14776`
21×	`cancel-sign-sub-inv_binary64_14707`
17×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
9×	`difference-of-squares_binary64_14710`
8×	`distribute-lft-out--_binary64_14693`
6×	`associate-/r*_binary64_14685`
5×	`div-exp_binary64_14792` `add-log-exp_binary64_14780` `cbrt-undiv_binary64_14775`
4×	`prod-exp_binary64_14790` `cbrt-unprod_binary64_14774` `associate-/l*_binary64_14686` `associate-/r/_binary64_14687`
3×	`pow1_binary64_14802` `div-inv_binary64_14738` `flip3--_binary64_14745` `flip--_binary64_14716`
2×	`frac-2neg_binary64_14752` `clear-num_binary64_14740`
1×	`diff-log_binary64_14833` `sub-neg_binary64_14734`

Counts

3 → 93

Calls

3 calls:

13.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
7.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
6.0ms	(/.f64 (.f64 y t) (.f64 2 z))

Compiler

Compiled 2351 to 1192 computations (49.3% saved)

series415.0ms (6.7%)

Error

0.1b

Counts

3 → 39

Calls

3 calls:

199.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
124.0ms	(/.f64 (.f64 y t) (.f64 2 z))
71.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))

Compiler

Compiled 1061 to 836 computations (21.2% saved)

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5271	2554

prune112.0ms (1.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	129	3	132
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	131	3	134

Error

0.0b

Counts

134 → 3

Compiler

Compiled 2316 to 1119 computations (51.7% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.8b	(/.f64 y (*.f64 (/.f64 z t) 2))
16.3b	(cbrt.f64 (/.f64 y (*.f64 (/.f64 z t) 2)))
16.3b	(cbrt.f64 (/.f64 y (*.f64 (/.f64 z t) 2)))
16.3b	(cbrt.f64 (/.f64 y (*.f64 (/.f64 z t) 2)))

rewrite144.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`cbrt-prod_binary64_14772`
13×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
12×	`add-cube-cbrt_binary64_14776` `add-sqr-sqrt_binary64_14763` `times-frac_binary64_14747` `*-un-lft-identity_binary64_14741`
4×	`pow1_binary64_14802` `add-log-exp_binary64_14780` `div-inv_binary64_14738` `associate-*l/_binary64_14684` `associate-/r/_binary64_14687` `div-exp_binary64_14792` `cbrt-undiv_binary64_14775`
3×	`pow1/3_binary64_14823` `cbrt-div_binary64_14773` `associate-/l*_binary64_14686`
2×	`prod-exp_binary64_14790` `cbrt-unprod_binary64_14774`
1×	`frac-2neg_binary64_14752` `clear-num_binary64_14740` `associate-/r*_binary64_14685`

Counts

4 → 75

Calls

4 calls:

7.0ms	(/.f64 y (*.f64 (/.f64 z t) 2))
6.0ms	(cbrt.f64 (/.f64 y (*.f64 (/.f64 z t) 2)))
5.0ms	(cbrt.f64 (/.f64 y (*.f64 (/.f64 z t) 2)))
5.0ms	(cbrt.f64 (/.f64 y (*.f64 (/.f64 z t) 2)))

Compiler

Compiled 2894 to 1576 computations (45.5% saved)

series1.4s (22.2%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

410.0ms	(cbrt.f64 (/.f64 y (*.f64 (/.f64 z t) 2)))
401.0ms	(cbrt.f64 (/.f64 y (*.f64 (/.f64 z t) 2)))
389.0ms	(cbrt.f64 (/.f64 y (*.f64 (/.f64 z t) 2)))
133.0ms	(/.f64 y (*.f64 (/.f64 z t) 2))

Compiler

Compiled 3969 to 2745 computations (30.8% saved)

simplify134.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	5145	1585

prune158.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	111	3	114

Error

0.0b

Counts

114 → 3

Compiler

Compiled 3934 to 2078 computations (47.2% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 y (-.f64 z (.f64 (.f64 y t) (/.f64 1/2 z)))))
4.7b	(/.f64 y (-.f64 z (.f64 (.f64 y t) (/.f64 1/2 z))))
7.0b	(.f64 (.f64 y t) (/.f64 1/2 z))

rewrite123.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-sqr-sqrt_binary64_14763`
28×	`times-frac_binary64_14747`
27×	`*-un-lft-identity_binary64_14741`
25×	`add-cube-cbrt_binary64_14776`
17×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
15×	`cancel-sign-sub-inv_binary64_14707`
13×	`associate-r_binary64_14681`
8×	`pow1_binary64_14802`
6×	`prod-exp_binary64_14790` `cbrt-unprod_binary64_14774`
5×	`add-log-exp_binary64_14780`
4×	`associate-/r/_binary64_14687`
3×	`pow-prod-down_binary64_14812` `div-exp_binary64_14792` `cbrt-undiv_binary64_14775` `div-inv_binary64_14738` `flip3--_binary64_14745` `flip--_binary64_14716` `associate-/l_binary64_14686` `associate-/r_binary64_14685`
2×	`difference-of-squares_binary64_14710`
1×	`associate-r/_binary64_14683` `associate-l_binary64_14682` `-commutative_binary64_14672` `frac-2neg_binary64_14752` `clear-num_binary64_14740` `diff-log_binary64_14833` `sub-neg_binary64_14734` `distribute-lft-out--_binary64_14693`

Counts

3 → 91

Calls

3 calls:

10.0ms	(-.f64 x (/.f64 y (-.f64 z (.f64 (.f64 y t) (/.f64 1/2 z)))))
8.0ms	(.f64 (.f64 y t) (/.f64 1/2 z))
5.0ms	(/.f64 y (-.f64 z (.f64 (.f64 y t) (/.f64 1/2 z))))

Compiler

Compiled 2252 to 1163 computations (48.4% saved)

series397.0ms (6.4%)

Error

0.0b

Counts

3 → 39

Calls

3 calls:

196.0ms	(-.f64 x (/.f64 y (-.f64 z (.f64 (.f64 y t) (/.f64 1/2 z)))))
119.0ms	(.f64 (.f64 y t) (/.f64 1/2 z))
65.0ms	(/.f64 y (-.f64 z (.f64 (.f64 y t) (/.f64 1/2 z))))

Compiler

Compiled 1061 to 836 computations (21.2% saved)

simplify77.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5113	2238

prune102.0ms (1.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	130	3	133

Error

0.0b

Counts

133 → 3

Compiler

Compiled 2153 to 973 computations (54.8% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 -2 (/.f64 z t))
0.0b	(-.f64 x (*.f64 -2 (/.f64 z t)))

rewrite47.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64_14763`
13×	`associate-r_binary64_14681`
10×	`add-cube-cbrt_binary64_14776` `*-un-lft-identity_binary64_14741` `times-frac_binary64_14747`
7×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
4×	`add-log-exp_binary64_14780` `pow1_binary64_14802`
3×	`associate-l_binary64_14682`
2×	`prod-exp_binary64_14790` `cbrt-unprod_binary64_14774` `unswap-sqr_binary64_14709`
1×	`diff-log_binary64_14833` `flip3--_binary64_14745` `sub-neg_binary64_14734` `flip--_binary64_14716` `cancel-sign-sub-inv_binary64_14707` `pow-prod-down_binary64_14812` `div-exp_binary64_14792` `cbrt-undiv_binary64_14775` `associate-r/_binary64_14683` `div-inv_binary64_14738` `-commutative_binary64_14672`

Counts

2 → 44

Calls

2 calls:

7.0ms	(*.f64 -2 (/.f64 z t))
3.0ms	(-.f64 x (*.f64 -2 (/.f64 z t)))

Compiler

Compiled 624 to 326 computations (47.8% saved)

series199.0ms (3.2%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

130.0ms	(-.f64 x (*.f64 -2 (/.f64 z t)))
57.0ms	(*.f64 -2 (/.f64 z t))

Compiler

Compiled 365 to 346 computations (5.2% saved)

simplify64.0ms (1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5062	687

prune44.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	67	4	71

Error

Counts

71 → 4

Compiler

Compiled 682 to 332 computations (51.3% saved)

regimes361.0ms (5.8%)

Accuracy

Total 0.9b remaining (99.8%)

Threshold costs 0.9b (99.8%)

Compiler

Compiled 3732 to 2998 computations (19.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	19
1	39	19

end0.0ms (0%)

sample1.3s (20.3%)

Algorithm

1×

intervals

Results

379.0ms

8000×

body

128

valid

Compiler

Compiled 646 to 520 computations (19.5% saved)

Details

analyze871.0ms (14%)

sample27.0ms (0.4%)

simplify61.0ms (1%)

prune4.0ms (0.1%)

localize9.0ms (0.1%)

rewrite140.0ms (2.2%)

series415.0ms (6.7%)

simplify60.0ms (1%)

prune112.0ms (1.8%)

localize16.0ms (0.3%)

rewrite144.0ms (2.3%)

series1.4s (22.2%)

simplify134.0ms (2.2%)

prune158.0ms (2.5%)

localize9.0ms (0.1%)

rewrite123.0ms (2%)

series397.0ms (6.4%)

simplify77.0ms (1.2%)

prune102.0ms (1.6%)

localize5.0ms (0.1%)

rewrite47.0ms (0.8%)

series199.0ms (3.2%)

simplify64.0ms (1%)

prune44.0ms (0.7%)

regimes361.0ms (5.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.3s (20.3%)

Profiling