Details

Time bar (total: 3.0s)

sample39.0ms

Algorithm
intervals
Results
13.0ms368×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02411
12411

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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:
3.0ms
(+ (* x y) (* z t))
6.0ms
(+ (+ (* x y) (* z t)) (* a b))

series28.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (* x y) (* z t))
19.0ms
(+ (+ (* x y) (* z t)) (* a b))

simplify41.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04971369
14971369

prune46.0ms

Filtered
23 candidates to 30 candidates (-30.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New27330
Fresh000
Picked011
Done000
Total27431

Merged error: 0b

Counts
31 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
0.0b
(+ (* x y) (* z t))
0.3b
(pow (+ (* x y) (* z t)) 3)
33.7b
(cbrt (pow (+ (* x y) (* z t)) 3))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×add-log-exp
6×unpow-prod-down cube-prod
5×pow1 add-exp-log add-cbrt-cube
4×cube-div flip3-+ flip-+
3×pow-unpow
2×+-commutative cube-mult cbrt-div unpow3 sum-log sqr-pow
1×pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 70
Calls
4 calls:
8.0ms
(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
3.0ms
(+ (* x y) (* z t))
4.0ms
(pow (+ (* x y) (* z t)) 3)
4.0ms
(cbrt (pow (+ (* x y) (* z t)) 3))

series72.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
9.0ms
(+ (* x y) (* z t))
34.0ms
(pow (+ (* x y) (* z t)) 3)
10.0ms
(cbrt (pow (+ (* x y) (* z t)) 3))

simplify36.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
049841013
149841013

prune86.0ms

Filtered
51 candidates to 82 candidates (-60.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New81182
Fresh112
Picked011
Done011
Total82486

Merged error: 0b

Counts
86 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.3b
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
1.0b
(sqrt (+ (* x y) (* z t)))
1.0b
(sqrt (+ (* x y) (* z t)))

rewrite23.0ms

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-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
4.0ms
(+ (* x y) (* z t))
10.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
3.0ms
(sqrt (+ (* x y) (* z t)))
3.0ms
(sqrt (+ (* x y) (* z t)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ (* x y) (* z t))
10.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
19.0ms
(sqrt (+ (* x y) (* z t)))
19.0ms
(sqrt (+ (* x y) (* z t)))

simplify31.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
053081320

prune86.0ms

Filtered
66 candidates to 110 candidates (-66.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1100110
Fresh011
Picked011
Done022
Total1104114

Merged error: 0b

Counts
114 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

2.2b
(- (pow (+ (* x y) (* z t)) 2) (* a (* a (* b b))))
7.3b
(* a (* a (* b b)))
8.3b
(* a (* b b))
29.3b
(/ (- (pow (+ (* x y) (* z t)) 2) (* a (* a (* b b)))) (+ (* x y) (- (* z t) (* a b))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
18×pow1
15×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
9×times-frac pow-prod-down prod-exp cbrt-unprod
6×associate-*l* add-log-exp
3×associate-/r* associate-/l*
2×flip3-- associate-*r* associate-/r/ *-commutative flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv unswap-sqr
Counts
4 → 84
Calls
4 calls:
6.0ms
(- (pow (+ (* x y) (* z t)) 2) (* a (* a (* b b))))
7.0ms
(* a (* a (* b b)))
5.0ms
(* a (* b b))
14.0ms
(/ (- (pow (+ (* x y) (* z t)) 2) (* a (* a (* b b)))) (+ (* x y) (- (* z t) (* a b))))

series259.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(- (pow (+ (* x y) (* z t)) 2) (* a (* a (* b b))))
6.0ms
(* a (* a (* b b)))
6.0ms
(* a (* b b))
85.0ms
(/ (- (pow (+ (* x y) (* z t)) 2) (* a (* a (* b b)))) (+ (* x y) (- (* z t) (* a b))))

simplify53.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049511925
149511925

prune102.0ms

Filtered
64 candidates to 96 candidates (-50.0%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New96096
Fresh000
Picked011
Done033
Total964100

Merged error: 0b

Counts
100 → 4

regimes778.0ms

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
01611
11611

end0.0ms

sample1.1s

Algorithm
intervals
Results
436.0ms11880×body80valid

Profiling

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