Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

389×

body

valid

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	80	4
3	254	4
4	641	4
5	1066	4
6	2373	4
7	3914	4
8	5001	4

prune2.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

4.0ms	(+ x (* (- y z) (- t x)))
9.0ms	(* (- y z) (- t x))

series88.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ x (* (- y z) (- t x)))
35.0ms	(* (- y z) (- t x))

simplify37.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	290	310
1	1174	292
2	5001	291

prune101.0ms

Filtered

55 candidates to 40 candidates (72.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	3	56

Merged error: 0b

Counts

56 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

42×	`sqrt-div`
33×	`flip3--` `flip--`
32×	`frac-times`
18×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in`
16×	`associate-r/` `associate-l*`
14×	`*-un-lft-identity`
11×	`sqrt-prod`
10×	`pow1` `add-exp-log` `sub-neg` `associate-*l/` `add-cbrt-cube`
8×	`add-cube-cbrt` `associate-+r+`
6×	`associate-r`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`*-commutative` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 114

Calls

3 calls:

4.0ms	(+ x (* (sqrt (- y z)) (* (sqrt (- y z)) (- t x))))
9.0ms	(* (sqrt (- y z)) (- t x))
15.0ms	(* (sqrt (- y z)) (* (sqrt (- y z)) (- t x)))

series240.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ x (* (sqrt (- y z)) (* (sqrt (- y z)) (- t x))))
151.0ms	(* (sqrt (- y z)) (- t x))
36.0ms	(* (sqrt (- y z)) (* (sqrt (- y z)) (- t x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	516	1099
1	2038	977
2	5001	977

prune251.0ms

Filtered

123 candidates to 81 candidates (65.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	123	3	126

Merged error: 0b

Counts

126 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

2.1b	(- (* y y) (* z z))
2.7b	(- (* t t) (* x x))
14.9b	(* (- (* y y) (* z z)) (- (* t t) (* x x)))
26.8b	(/ (* (- (* y y) (* z z)) (- (* t t) (* x x))) (* (+ y z) (+ t x)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log` `add-cbrt-cube`
14×	`flip3--` `flip--`
12×	`frac-times`
8×	`add-sqr-sqrt` `associate-/r/` `associate-/l/` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `-un-lft-identity` `flip3-+` `associate-r/` `associate-*l/` `flip-+`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `sub-neg` `div-exp` `associate-r` `associate-l` `difference-of-squares`
2×	`distribute-rgt-in` `distribute-lft-in` `diff-log`
1×	`frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

3.0ms	(- (* y y) (* z z))
3.0ms	(- (* t t) (* x x))
9.0ms	(* (- (* y y) (* z z)) (- (* t t) (* x x)))
16.0ms	(/ (* (- (* y y) (* z z)) (- (* t t) (* x x))) (* (+ y z) (+ t x)))

series375.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (* y y) (* z z))
34.0ms	(- (* t t) (* x x))
99.0ms	(* (- (* y y) (* z z)) (- (* t t) (* x x)))
209.0ms	(/ (* (- (* y y) (* z z)) (- (* t t) (* x x))) (* (+ y z) (+ t x)))

simplify114.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	647	1150
1	4382	939
2	5003	939

prune264.0ms

Filtered

107 candidates to 79 candidates (73.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	107	3	110

Merged error: 0b

Counts

110 → 3

regimes116.0ms

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	10	4
1	10	4

end0.0ms

sample639.0ms

Algorithm

intervals

Results

345.0ms

12232×

body

valid