Details

sample49.0ms

Algorithm

intervals

Results

18.0ms

387×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	25	5
2	27	5
3	27	5

prune6.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

3.0ms	(+ (* x y) (* z t))
5.0ms	(+ (+ (* x y) (* z t)) (* a b))

series28.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (* x y) (* z t))
19.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify77.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	187	190
1	747	179
2	2644	177
3	5001	177

prune79.0ms

Filtered

30 candidates to 24 candidates (20.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0.0b

Counts

31 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

13.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
54.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
53.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
57.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify121.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	312	1441
1	1115	1348
2	4895	1239
3	5002	1223

prune356.0ms

Filtered

99 candidates to 75 candidates (24.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.3b	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
0.3b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.3b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+l+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

5.0ms	(+ (+ (* x y) (* z t)) (* a b))
13.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
5.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))

series305.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (+ (* x y) (* z t)) (* a b))
20.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
129.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
135.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))

simplify55.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	314	1153
1	1483	1063
2	5002	1037

prune238.0ms

Filtered

112 candidates to 67 candidates (40.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	112	4	116

Merged error: 0.0b

Counts

116 → 4

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b)))
2.4b	(+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
3.2b	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
42.2b	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`flip3-+` `flip-+`
6×	`pow1` `distribute-rgt-in` `associate-+l+` `distribute-lft-in`
5×	`sum-cubes` `distribute-lft-out` `associate-/l*`
4×	`frac-times` `sub-neg` `associate--l+`
3×	`flip3--` `associate-r` `associate-l` `associate-/r*` `flip--`
2×	`+-commutative` `associate-r/` `associate-l/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

11.0ms	(* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b)))
12.0ms	(+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
11.0ms	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
25.0ms	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

series2.5s

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b)))
192.0ms	(+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
2.0s	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
203.0ms	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

simplify119.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	620	2309
1	3315	2141
2	5001	2136

prune538.0ms

Filtered

113 candidates to 85 candidates (24.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	113	4	117

Merged error: 0.0b

Counts

117 → 4

regimes953.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	5
1	16	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

445.0ms

11924×

body

valid

Details

sample49.0ms

simplify6.0ms

prune6.0ms

localize9.0ms

rewrite9.0ms

series28.0ms

simplify77.0ms

prune79.0ms

localize16.0ms

rewrite31.0ms

series263.0ms

simplify121.0ms

prune356.0ms

localize13.0ms

rewrite32.0ms

series305.0ms

simplify55.0ms

prune238.0ms

localize25.0ms

rewrite63.0ms

series2.5s

simplify119.0ms

prune538.0ms

regimes953.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling