Details

Time bar (total: 7.1s)

sample34.0ms

Algorithm
intervals
Results
20.0ms415×body80valid

simplify85.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1284
2804
32544
46414
510664
623734
739144
850014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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)))
18.0ms
(* (- y z) (- t x))

series89.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(+ x (* (- y z) (- t x)))
38.0ms
(* (- y z) (- t x))

simplify37.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0290310
11174292
25001291

prune117.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
42×sqrt-div
33×flip3-- flip--
32×frac-times
17×add-sqr-sqrt
16×associate-*r* associate-*l/
13×*-un-lft-identity
11×sqrt-prod
10×associate-*r/
9×pow1 add-exp-log add-cbrt-cube
7×add-cube-cbrt
6×associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out-- difference-of-squares
2×*-commutative add-log-exp unswap-sqr
Counts
2 → 83
Calls
2 calls:
19.0ms
(* (- y z) (sqrt (- t x)))
35.0ms
(* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))

series125.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(* (- y z) (sqrt (- t x)))
40.0ms
(* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))

simplify46.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0407865
11506767
25001759

prune215.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))) (cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))))
0.6b
(cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x))))
0.6b
(cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x))))
0.6b
(cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x))))

rewrite349.0ms

Algorithm
rewrite-expression-head
Rules
2272×frac-times
2052×sqrt-div
1539×flip3-- flip--
1482×cbrt-div
824×associate-*l/
482×associate-*r/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 864
Calls
4 calls:
73.0ms
(* (cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))) (cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))))
29.0ms
(cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x))))
31.0ms
(cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x))))
29.0ms
(cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x))))

series1.4s

Counts
4 → 12
Calls
4 calls:
631.0ms
(* (cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))) (cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))))
252.0ms
(cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x))))
248.0ms
(cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x))))
253.0ms
(cbrt (* (* (- y z) (sqrt (- t x))) (sqrt (- t x))))

simplify337.0ms

Algorithm
egg-herbie
Counts
876 → 876
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0161734594
1277034454
2500234359

prune2.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.1b
(+ (* z z) (* y z))
3.2b
(- (pow y 3) (pow z 3))
6.3b
(* (- (pow y 3) (pow z 3)) (- t x))
35.0b
(/ (* (- (pow y 3) (pow z 3)) (- t x)) (+ (* y y) (+ (* z z) (* y z))))

rewrite135.0ms

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))
42.0ms
(/ (* (- (pow y 3) (pow z 3)) (- t x)) (+ (* y y) (+ (* z z) (* y z))))

series235.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ (* z z) (* y z))
55.0ms
(- (pow y 3) (pow z 3))
70.0ms
(* (- (pow y 3) (pow z 3)) (- t x))
81.0ms
(/ (* (- (pow y 3) (pow z 3)) (- t x)) (+ (* y y) (+ (* z z) (* y z))))

simplify86.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
05951218
130981111
250021104

prune410.0ms

Pruning

4 alts after pruning (0 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)

IterNodesCost
0104
1104

end0.0ms

sample859.0ms

Algorithm
intervals
Results
544.0ms12221×body80valid