Details

Time bar (total: 5.7s)

sample21.0ms

Algorithm
intervals
Results
9.0ms369×body80valid

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1284
2804
32544
46414
510664
623734
739144
850014

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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:
52.0ms
(+ x (* (- y z) (- t x)))
34.0ms
(* (- y z) (- t x))

simplify36.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0290310
11174292
25001291

prune110.0ms

Filtered
55 candidates to 40 candidates (72.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

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:
40.0ms
(* x (- (+ z 1) y))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(* x (- (+ z 1) y))

simplify67.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0133141
1589124
23065124
35002124

prune51.0ms

Filtered
32 candidates to 18 candidates (56.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

2.0b
(+ (* z z) (* y z))
2.8b
(- (pow y 3) (pow z 3))
6.6b
(* (- (pow y 3) (pow z 3)) (- t x))
35.3b
(/ (* (- (pow y 3) (pow z 3)) (- t x)) (+ (* y y) (+ (* z z) (* y z))))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
33×difference-of-squares
30×*-un-lft-identity
25×associate-*l*
24×unpow-prod-down cube-prod
16×sqr-pow
13×flip3-- flip--
11×add-exp-log add-cbrt-cube distribute-lft-out--
8×frac-times add-cube-cbrt associate-/l/ add-log-exp
6×pow1
5×associate-*r*
4×associate-*r/ associate-*l/
3×sub-neg times-frac associate-/r*
2×difference-cubes cbrt-undiv distribute-rgt-in distribute-lft-in flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+
1×+-commutative distribute-rgt-out frac-2neg diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 131
Calls
4 calls:
3.0ms
(+ (* z z) (* y z))
15.0ms
(- (pow y 3) (pow z 3))
68.0ms
(* (- (pow y 3) (pow z 3)) (- t x))
44.0ms
(/ (* (- (pow y 3) (pow z 3)) (- t x)) (+ (* y y) (+ (* z z) (* y z))))

series237.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (* z z) (* y z))
50.0ms
(- (pow y 3) (pow z 3))
68.0ms
(* (- (pow y 3) (pow z 3)) (- t x))
87.0ms
(/ (* (- (pow y 3) (pow z 3)) (- t x)) (+ (* y y) (+ (* z z) (* y z))))

simplify91.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
05951194
130981086
250021080

prune422.0ms

Filtered
143 candidates to 96 candidates (67.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ (/ (+ (* z (+ z y)) (* y y)) (- (pow y 3) (pow z 3))) (- t x)))
1.0b
(+ (* z (+ z y)) (* y y))
2.8b
(- (pow y 3) (pow z 3))
35.9b
(/ (+ (* z (+ z y)) (* y y)) (- (pow y 3) (pow z 3)))

rewrite480.0ms

Algorithm
rewrite-expression-head
Rules
4428×times-frac
3562×add-sqr-sqrt
2652×*-un-lft-identity
1364×difference-of-squares
1354×add-cube-cbrt
780×unpow-prod-down cube-prod
649×distribute-lft-out--
520×sqr-pow
436×associate-/r*
65×difference-cubes
51×associate-/r/
27×add-exp-log
26×flip3-- flip-- div-inv
16×div-exp
15×add-cbrt-cube
8×add-log-exp
7×cbrt-undiv
6×associate-/l*
5×pow1
3×rec-exp 1-exp
2×associate-+l+ frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative distribute-rgt-in sub-neg pow-flip distribute-lft-in diff-log sum-log inv-pow
Counts
4 → 1838
Calls
4 calls:
126.0ms
(/ 1 (/ (/ (+ (* z (+ z y)) (* y y)) (- (pow y 3) (pow z 3))) (- t x)))
5.0ms
(+ (* z (+ z y)) (* y y))
15.0ms
(- (pow y 3) (pow z 3))
41.0ms
(/ (+ (* z (+ z y)) (* y y)) (- (pow y 3) (pow z 3)))

series229.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(/ 1 (/ (/ (+ (* z (+ z y)) (* y y)) (- (pow y 3) (pow z 3))) (- t x)))
23.0ms
(+ (* z (+ z y)) (* y y))
51.0ms
(- (pow y 3) (pow z 3))
71.0ms
(/ (+ (* z (+ z y)) (* y y)) (- (pow y 3) (pow z 3)))

simplify446.0ms

Algorithm
egg-herbie
Counts
1850 → 1850
Iterations

Useful iterations: 1 (78.0ms)

IterNodesCost
0440542832
1500139373

prune2.3s

Filtered
1850 candidates to 473 candidates (25.6%)
Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes140.0ms

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)

IterNodesCost
0104
1104

end0.0ms

sample606.0ms

Algorithm
intervals
Results
294.0ms12210×body80valid