Details

sample42.0ms

Algorithm

intervals

Results

18.0ms

434×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	7
1	48	7
2	81	7
3	98	7
4	98	7

prune3.0ms

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: 0.0b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

119×	`*-un-lft-identity`
80×	`distribute-lft-out`
54×	`associate-l`
19×	`add-log-exp`
10×	`sum-log`
8×	`associate-+l+`
6×	`+-commutative`
3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

3 → 78

Calls

3 calls:

31.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
12.0ms	(+ (* x y) (* z t))
23.0ms	(+ (+ (* x y) (* z t)) (* a b))

series299.0ms

Counts

3 → 9

Calls

3 calls:

208.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
33.0ms	(+ (* x y) (* z t))
57.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify39.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	286	582
1	1168	567
2	5001	561

prune170.0ms

Filtered

87 candidates to 42 candidates (48.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	84	3	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite322.0ms

Algorithm

rewrite-expression-head

Rules

4139×	`*-un-lft-identity`
2958×	`distribute-lft-out`
1915×	`associate-l`
1191×	`cbrt-prod`
534×	`swap-sqr`
28×	`associate-r`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cbrt-cube`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `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`

Counts

4 → 728

Calls

4 calls:

84.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
30.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
33.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
30.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series442.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
101.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
98.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
98.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify138.0ms

Algorithm

egg-herbie

Counts

740 → 740

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	297	13646
1	1115	13473
2	5002	7747

prune361.0ms

Filtered

740 candidates to 75 candidates (10.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	740	0	740
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	740	4	744

Merged error: 0.0b

Counts

744 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.1b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.1b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.3b	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 271

Calls

4 calls:

20.0ms	(+ (+ (* x y) (* z t)) (* a b))
20.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
24.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
51.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

series947.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (+ (* x y) (* z t)) (* a b))
419.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
418.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
52.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

simplify65.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	292	2064
1	1294	1926
2	5001	1896

prune322.0ms

Filtered

283 candidates to 67 candidates (23.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	283	0	283
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	283	4	287

Merged error: 0.0b

Counts

287 → 4

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b)))
1.8b	(+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
3.0b	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
39.5b	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

rewrite556.0ms

Algorithm

rewrite-expression-head

Rules

5227×	`*-un-lft-identity`
3470×	`associate-l`
3191×	`distribute-lft-out`
1008×	`times-frac`
920×	`unpow-prod-down` `cube-prod`
92×	`pow-unpow` `sum-cubes`
84×	`add-sqr-sqrt`
77×	`add-cube-cbrt`
48×	`associate-/l*`
21×	`associate-/r*`
15×	`associate-r`
10×	`distribute-lft-out--`
8×	`add-exp-log` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate--l+` `add-cbrt-cube` `add-log-exp`
7×	`flip3-+` `flip-+`
6×	`pow1` `+-commutative`
4×	`frac-times` `sub-neg`
3×	`flip3--` `flip--`
2×	`associate-r/` `associate-l/` `sum-log` `associate-/r/` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 1236

Calls

4 calls:

40.0ms	(* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b)))
95.0ms	(+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
49.0ms	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
170.0ms	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

series4.9s

Counts

4 → 12

Calls

4 calls:

214.0ms	(* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b)))
896.0ms	(+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
3.4s	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
420.0ms	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

simplify385.0ms

Algorithm

egg-herbie

Counts

1248 → 1248

Iterations

Useful iterations: 2 (126.0ms)

Iter	Nodes	Cost
0	761	28206
1	3878	27990
2	5003	27115

prune564.0ms

Filtered

1248 candidates to 98 candidates (7.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	1248	0	1248
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	1248	4	1252

Merged error: 0.0b

Counts

1252 → 4

regimes444.0ms

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	22	7
1	22	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

585.0ms

13358×

body

valid