Details

sample28.0ms

Algorithm

intervals

Results

15.0ms

399×

body

valid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:

3.0ms	(+ x (* (- y z) (- t x)))
19.0ms	(* (- y z) (- t x))

series87.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ x (* (- y z) (- t x)))
35.0ms	(* (- y z) (- t x))

simplify40.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (35.0ms)

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

prune116.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

12.0ms	(* (- x) (- y z))
10.0ms	(+ (+ x (* t (- y z))) (* (- x) (- y z)))
10.0ms	(* t (- y z))

series126.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* (- x) (- y z))
51.0ms	(+ (+ x (* t (- y z))) (* (- x) (- y z)))
38.0ms	(* t (- y z))

simplify62.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	453	551
1	2161	513
2	5001	496

prune203.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- (* y y) (* z z)) (- t x)) (+ y z)))
3.1b	(- (* y y) (* z z))
5.4b	(* (- (* y y) (* z z)) (- t x))
21.3b	(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

13.0ms	(+ x (/ (* (- (* y y) (* z z)) (- t x)) (+ y z)))
2.0ms	(- (* y y) (* z z))
16.0ms	(* (- (* y y) (* z z)) (- t x))
12.0ms	(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

series280.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(+ x (/ (* (- (* y y) (* z z)) (- t x)) (+ y z)))
30.0ms	(- (* y y) (* z z))
51.0ms	(* (- (* y y) (* z z)) (- t x))
61.0ms	(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

simplify76.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	511	877
1	2627	791
2	5002	783

prune254.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- y z) (- (* t t) (* x x))) (+ t x)))
1.3b	(- (* t t) (* x x))
5.7b	(* (- y z) (- (* t t) (* x x)))
23.7b	(/ (* (- y z) (- (* t t) (* x x))) (+ t x))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

10.0ms	(+ x (/ (* (- y z) (- (* t t) (* x x))) (+ t x)))
3.0ms	(- (* t t) (* x x))
20.0ms	(* (- y z) (- (* t t) (* x x)))
14.0ms	(/ (* (- y z) (- (* t t) (* x x))) (+ t x))

series313.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(+ x (/ (* (- y z) (- (* t t) (* x x))) (+ t x)))
31.0ms	(- (* t t) (* x x))
82.0ms	(* (- y z) (- (* t t) (* x x)))
98.0ms	(/ (* (- y z) (- (* t t) (* x x))) (+ t x))

simplify75.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	516	878
1	2664	784
2	5002	783

prune251.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	20	7
2	21	7
3	21	7

end0.0ms

sample778.0ms

Algorithm

intervals

Results

477.0ms

12290×

body

valid