Details

Time bar (total: 8.2s)

sample31.0ms

Algorithm
intervals
Results
12.0ms385×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0185
1255
2275
3275

prune3.0ms

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+
Counts
2 → 24
Calls
2 calls:
2.0ms
(+ (* x y) (* z t))
11.0ms
(+ (+ (* x y) (* z t)) (* a b))

series89.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (* x y) (* z t))
56.0ms
(+ (+ (* x y) (* z t)) (* a b))

simplify79.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0187190
1747179
22644177
35001177

prune82.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.5b
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.5b
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.5b
(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
7.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
7.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
7.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
59.0ms
(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))

series547.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
120.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
114.0ms
(cbrt (+ (+ (* x y) (* z t)) (* a b)))
196.0ms
(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))

simplify111.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
03091413
110911317
244211198
350031187

prune299.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* a b) (* a b))
0.3b
(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
3.7b
(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
28.6b
(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
50×pow1
20×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
18×pow-prod-down
17×add-cube-cbrt *-un-lft-identity
12×times-frac
9×prod-exp cbrt-unprod
6×flip3-+ flip-+ add-log-exp
5×pow-sqr pow-prod-up difference-of-squares
4×frac-times swap-sqr associate-*r* associate-*l* associate-/l*
3×flip3-- pow-plus associate-/r* flip--
2×pow2 distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/ associate--l+ associate-/r/ *-commutative associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv unswap-sqr
Counts
4 → 120
Calls
4 calls:
10.0ms
(* (* a b) (* a b))
15.0ms
(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
12.0ms
(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
38.0ms
(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

series736.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* a b) (* a b))
50.0ms
(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
463.0ms
(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
188.0ms
(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

simplify111.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
05651612
131481411
250011359

prune320.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

3.7b
(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
14.2b
(/ (* (cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))) (cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))) (* (cbrt (- (+ (* x y) (* z t)) (* a b))) (cbrt (- (+ (* x y) (* z t)) (* a b)))))
29.3b
(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))
29.3b
(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
16×add-exp-log
15×flip3-- flip--
8×cbrt-prod frac-times associate-/r/ add-cbrt-cube associate-/l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod
3×difference-of-squares
2×pow1/3 associate--l+
1×distribute-rgt-in sub-neg frac-2neg distribute-lft-in times-frac diff-log clear-num associate-/r* div-inv associate-/l*
Counts
4 → 80
Calls
4 calls:
11.0ms
(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
74.0ms
(/ (* (cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))) (cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))) (* (cbrt (- (+ (* x y) (* z t)) (* a b))) (cbrt (- (+ (* x y) (* z t)) (* a b)))))
11.0ms
(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))
11.0ms
(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

series3.8s

Counts
4 → 12
Calls
4 calls:
456.0ms
(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
3.0s
(/ (* (cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))) (cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))) (* (cbrt (- (+ (* x y) (* z t)) (* a b))) (cbrt (- (+ (* x y) (* z t)) (* a b)))))
189.0ms
(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))
187.0ms
(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

simplify72.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05192653
119112176
250032131

prune419.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes329.0ms

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
0165
1165

end0.0ms

sample835.0ms

Algorithm
intervals
Results
394.0ms11941×body80valid