Details

analyze648.0ms

Algorithm

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
0%	99.8%	0.2%	8
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.1%	74.7%	0.2%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

sample19.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	71×	body	80	invalid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	735	13
1	735	13

prune1.0ms

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: 7.5b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-l_binary64`
4×	`associate-*l/_binary64`
3×	`associate-/r_binary64` `associate-r*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 57

Calls

3 calls:

7.0ms	(*.f64 (-.f64 y x) z)
5.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
11.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)

series111.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(*.f64 (-.f64 y x) z)
37.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
49.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)

simplify89.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5139	824

prune40.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	5	67

Merged error: 0.0b

Counts

67 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
4.6b	(/.f64 (-.f64 y x) (/.f64 t z))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac_binary64`
88×	`*-un-lft-identity_binary64`
86×	`add-sqr-sqrt_binary64`
58×	`add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
13×	`associate-/r*_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
5×	`associate-/l*_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `div-sub_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

2 → 114

Calls

2 calls:

20.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
11.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

series86.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
49.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

simplify79.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5001	2589

prune63.0ms

Filtered

84 candidates to 120 candidates (-42.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	119	6	125

Merged error: 0b

Counts

125 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
4.5b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-r_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-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
10.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

series83.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
45.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

simplify80.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5340	832

prune27.0ms

Filtered

38 candidates to 55 candidates (-44.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	55	6	61

Merged error: 0b

Counts

61 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
4.5b	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
25×	`add-exp-log_binary64`
24×	`*-un-lft-identity_binary64`
22×	`associate-r_binary64` `add-cube-cbrt_binary64`
20×	`cbrt-prod_binary64`
18×	`add-cbrt-cube_binary64`
9×	`associate-l_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`pow1_binary64` `unswap-sqr_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
2×	`div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 94

Calls

4 calls:

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

series314.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(cbrt.f64 t)
83.0ms	(cbrt.f64 t)
83.0ms	(cbrt.f64 t)
67.0ms	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))

simplify89.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4973	1462
1	4973	1462

prune64.0ms

Filtered

83 candidates to 106 candidates (-27.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	106	6	112

Merged error: 0b

Counts

112 → 6

regimes93.0ms

Accuracy

-3% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch41.0ms

Steps

Iters	Range		Point
7	4.926423598851183e-196	8.85879515403119e-195	5.688424274737943e-196
8	-1.5575984605452734e-253	-6.225034637012918e-258	-5.816891157054731e-255

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	40	63
1	40	63

end0.0ms

sample591.0ms

Algorithm

intervals

Results

264.0ms	8000×	body	80	valid
65.0ms	2000×	body	80	invalid

Details

analyze648.0ms

sample19.0ms

simplify64.0ms

prune1.0ms

localize7.0ms

rewrite24.0ms

series111.0ms

simplify89.0ms

prune40.0ms

localize6.0ms

rewrite36.0ms

series86.0ms

simplify79.0ms

prune63.0ms

localize7.0ms

rewrite15.0ms

series83.0ms

simplify80.0ms

prune27.0ms

localize13.0ms

rewrite25.0ms

series314.0ms

simplify89.0ms

prune64.0ms

regimes93.0ms

bsearch41.0ms

simplify6.0ms

end0.0ms

sample591.0ms

Profiling