Details

Time bar (total: 8.5s)

sample27.0ms

Algorithm
intervals
Results
11.0ms379×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0185
1255
2275
3275

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))

series85.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (* x y) (* z t))
50.0ms
(+ (+ (* x y) (* z t)) (* a b))

simplify78.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0187190
1747179
22644177
35001177

prune79.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+ add-log-exp
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down sum-log pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 associate-+l+ pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 100
Calls
4 calls:
11.0ms
(+ (+ (* x y) (* z t)) (* a b))
15.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
12.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
57.0ms
(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

series921.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(+ (+ (* x y) (* z t)) (* a b))
417.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
398.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
53.0ms
(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

simplify49.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
02921141
112941043
250011013

prune259.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (+ (+ (* x y) (* z t)) (* a b)))
0.0b
(+ (* x y) (* z t))
0.0b
(+ (+ (* x y) (* z t)) (* a b))
2.7b
(exp (log (+ (+ (* x y) (* z t)) (* a b))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
11×add-log-exp
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow1 log-prod
5×add-exp-log
4×log-div exp-prod flip3-+ sum-log add-cbrt-cube flip-+
3×exp-sum
2×+-commutative exp-diff log-pow
1×associate-+l+ rem-log-exp rem-exp-log
Counts
4 → 55
Calls
4 calls:
7.0ms
(log (+ (+ (* x y) (* z t)) (* a b)))
2.0ms
(+ (* x y) (* z t))
11.0ms
(+ (+ (* x y) (* z t)) (* a b))
9.0ms
(exp (log (+ (+ (* x y) (* z t)) (* a b))))

series200.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(log (+ (+ (* x y) (* z t)) (* a b)))
34.0ms
(+ (* x y) (* z t))
49.0ms
(+ (+ (* x y) (* z t)) (* a b))
52.0ms
(exp (log (+ (+ (* x y) (* z t)) (* a b))))

simplify83.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
0264533
1886488
22880472
35001466

prune172.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b)))
2.2b
(+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
3.6b
(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
39.2b
(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
18×add-sqr-sqrt
16×add-cube-cbrt
15×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
7×flip3-+ flip-+
6×pow1 distribute-rgt-in associate-+l+ distribute-lft-in
5×sum-cubes distribute-lft-out associate-/l*
4×frac-times sub-neg associate--l+
3×flip3-- associate-*r* associate-*l* associate-/r* flip--
2×+-commutative associate-*r/ associate-*l/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 101
Calls
4 calls:
40.0ms
(* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b)))
19.0ms
(+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
28.0ms
(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
95.0ms
(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

series4.5s

Counts
4 → 12
Calls
4 calls:
211.0ms
(* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b)))
682.0ms
(+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
3.3s
(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
389.0ms
(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

simplify119.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
06202309
133152141
250012136

prune417.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes293.0ms

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

sample760.0ms

Algorithm
intervals
Results
370.0ms11975×body80valid