Details

sample47.0ms

Algorithm

intervals

Results

18.0ms

514×

body

valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	6
1	50	6
2	159	6
3	351	6
4	609	6
5	733	6
6	1068	6
7	1342	6
8	1506	6
9	1553	6
10	1553	6

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 7.3b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.8b	(* (* y 4.0) (- (* z z) t))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`sub-neg`
4×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in` `associate-r` `associate--r+` `add-log-exp`
3×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-*r/` `flip--`
1×	`diff-log` `associate-l` `*-commutative` `difference-of-squares`

Counts

2 → 41

Calls

2 calls:

3.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
8.0ms	(* (* y 4.0) (- (* z z) t))

series133.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
61.0ms	(* (* y 4.0) (- (* z z) t))

simplify41.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	269	322
1	1276	286
2	5001	281

prune158.0ms

Filtered

47 candidates to 29 candidates (61.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	4	48

Merged error: 2.5b

Counts

48 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t))))
0.1b	(* (* y 4.0) (+ z (sqrt t)))
0.2b	(* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-r/` `associate-r*`
9×	`add-sqr-sqrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`distribute-rgt-in` `add-cube-cbrt` `sub-neg` `distribute-lft-in` `add-log-exp`
4×	`frac-times` `flip3--` `flip3-+` `flip--` `flip-+` `associate--r+`
2×	`associate-l` `associate-l/` `-commutative` `difference-of-squares`
1×	`diff-log` `sqrt-prod` `distribute-lft-out` `distribute-lft-out--`

Counts

3 → 75

Calls

3 calls:

4.0ms	(- (* x x) (* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t))))
8.0ms	(* (* y 4.0) (+ z (sqrt t)))
13.0ms	(* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t)))

series249.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(- (* x x) (* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t))))
58.0ms	(* (* y 4.0) (+ z (sqrt t)))
105.0ms	(* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t)))

simplify88.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	527	781
1	3182	651
2	5001	642

prune312.0ms

Filtered

84 candidates to 56 candidates (66.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	81	7	88

Merged error: 2.5b

Counts

88 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y 4.0) (+ z (sqrt t)))
0.1b	(* (* y 4.0) (+ z (sqrt t)))
0.1b	(* z (* (* y 4.0) (+ z (sqrt t))))
0.2b	(* (* (* y 4.0) (+ z (sqrt t))) (neg (sqrt t)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log` `add-cbrt-cube`
25×	`associate-r`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`associate-*r/`
6×	`distribute-lft-neg-in` `distribute-rgt-in` `distribute-rgt-neg-in` `distribute-lft-in` `associate-l` `sqrt-prod`
4×	`flip3-+` `*-commutative` `flip-+` `add-log-exp`
2×	`associate-*l/` `distribute-lft-out`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 110

Calls

4 calls:

7.0ms	(* (* y 4.0) (+ z (sqrt t)))
7.0ms	(* (* y 4.0) (+ z (sqrt t)))
9.0ms	(* z (* (* y 4.0) (+ z (sqrt t))))
12.0ms	(* (* (* y 4.0) (+ z (sqrt t))) (neg (sqrt t)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (* y 4.0) (+ z (sqrt t)))
56.0ms	(* (* y 4.0) (+ z (sqrt t)))
52.0ms	(* z (* (* y 4.0) (+ z (sqrt t))))
73.0ms	(* (* (* y 4.0) (+ z (sqrt t))) (neg (sqrt t)))

simplify91.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	538	893
1	3314	739
2	5001	728

prune417.0ms

Filtered

122 candidates to 76 candidates (62.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	122	7	129

Merged error: 2.5b

Counts

129 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- z (sqrt t)))
0.3b	(cbrt (- z (sqrt t)))
0.3b	(cbrt (- z (sqrt t)))
0.3b	(* (cbrt (- z (sqrt t))) (cbrt (- z (sqrt t))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
54×	`cbrt-prod`
35×	`*-un-lft-identity`
18×	`cbrt-div` `difference-of-squares`
15×	`add-cube-cbrt`
13×	`swap-sqr`
11×	`pow1`
9×	`flip3--` `pow1/3` `associate-r` `associate-l` `sqrt-prod` `flip--` `distribute-lft-out--`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

4.0ms	(cbrt (- z (sqrt t)))
4.0ms	(cbrt (- z (sqrt t)))
4.0ms	(cbrt (- z (sqrt t)))
15.0ms	(* (cbrt (- z (sqrt t))) (cbrt (- z (sqrt t))))

series385.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (- z (sqrt t)))
98.0ms	(cbrt (- z (sqrt t)))
93.0ms	(cbrt (- z (sqrt t)))
97.0ms	(* (cbrt (- z (sqrt t))) (cbrt (- z (sqrt t))))

simplify53.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	406	1214
1	1492	1159
2	5002	1086

prune521.0ms

Filtered

121 candidates to 81 candidates (66.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	121	7	128

Merged error: 2.5b

Counts

128 → 7

regimes931.0ms

Accuracy

83.1% (0.6b remaining)

Error of 3.2b against oracle of 2.6b and baseline of 6.0b

bsearch148.0ms

Steps

Iters	Range		Point
8	4.879842079536523e+140	1.1384549965953672e+145	1.120720938761053e+145
10	-1.261387021526361e+163	-4.374701459733792e+145	-1.3323133106492984e+154

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	35
1	44	35
2	51	35
3	60	35
4	60	35

end0.0ms

sample1.3s

Algorithm

intervals

Results

561.0ms

15725×

body

valid

Details

sample47.0ms

simplify75.0ms

prune4.0ms

localize8.0ms

rewrite12.0ms

series133.0ms

simplify41.0ms

prune158.0ms

localize11.0ms

rewrite27.0ms

series249.0ms

simplify88.0ms

prune312.0ms

localize13.0ms

rewrite39.0ms

series240.0ms

simplify91.0ms

prune417.0ms

localize15.0ms

rewrite31.0ms

series385.0ms

simplify53.0ms

prune521.0ms

regimes931.0ms

bsearch148.0ms

simplify3.0ms

end0.0ms

sample1.3s

Profiling