Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

376×

body

valid

simplify84.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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)))
17.0ms	(* (- y z) (- t x))

series86.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ x (* (- y z) (- t x)))
34.0ms	(* (- y z) (- t x))

simplify38.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (33.0ms)

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

prune120.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

10.0ms	(* t (- y z))
15.0ms	(* (- y z) (- x))
11.0ms	(+ (+ x (* t (- y z))) (* (- y z) (- x)))
3.0ms	(+ x (* t (- y z)))

series155.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* t (- y z))
26.0ms	(* (- y z) (- x))
55.0ms	(+ (+ x (* t (- y z))) (* (- y z) (- x)))
41.0ms	(+ x (* t (- y z)))

simplify67.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	459	587
1	2247	555
2	5003	548

prune216.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (- (+ z 1) y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 29

Calls

1 calls:

41.0ms

(* x (- (+ z 1) y))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* x (- (+ z 1) y))

simplify64.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	133	141
1	589	124
2	3065	124
3	5002	124

prune48.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

44×	`sqrt-div`
34×	`flip3--` `flip--`
32×	`frac-times`
23×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
16×	`associate-r` `associate-*l/` `sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*r/`
6×	`associate-l` `add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`*-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `sum-log` `flip-+`

Counts

4 → 111

Calls

4 calls:

4.0ms	(sqrt (- t x))
2.0ms	(+ x (* (* (- y z) (sqrt (- t x))) (sqrt (- t x))))
36.0ms	(* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))
19.0ms	(* (- y z) (sqrt (- t x)))

series241.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(sqrt (- t x))
55.0ms	(+ x (* (* (- y z) (sqrt (- t x))) (sqrt (- t x))))
34.0ms	(* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))
83.0ms	(* (- y z) (sqrt (- t x)))

simplify60.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	535	1115
1	1945	983
2	5002	973

prune311.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes134.0ms

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

sample630.0ms

Algorithm

intervals

Results

307.0ms

12230×

body

valid