Details

Time bar (total: 2.6s)

sample24.0ms

Algorithm
intervals
Results
13.0ms321×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1183
2183

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x y) (* z t))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
3.0ms
(- (* x y) (* z t))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(- (* x y) (* z t))

simplify74.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09178
128571
289571
3213671
4500171

prune29.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x y) (* z t))
0.2b
(* (sqrt (- (* x y) (* z t))) (sqrt (- (* x y) (* z t))))
1.5b
(sqrt (- (* x y) (* z t)))
1.5b
(sqrt (- (* x y) (* z t)))

rewrite35.0ms

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×pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
2.0ms
(- (* x y) (* z t))
23.0ms
(* (sqrt (- (* x y) (* z t))) (sqrt (- (* x y) (* z t))))
3.0ms
(sqrt (- (* x y) (* z t)))
3.0ms
(sqrt (- (* x y) (* z t)))

series255.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(- (* x y) (* z t))
39.0ms
(* (sqrt (- (* x y) (* z t))) (sqrt (- (* x y) (* z t))))
86.0ms
(sqrt (- (* x y) (* z t)))
89.0ms
(sqrt (- (* x y) (* z t)))

simplify188.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0246786
1916714
24936686
35002686

prune193.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (- (* x y) (* z t))) (* (fabs (cbrt (- (* x y) (* z t)))) (sqrt (cbrt (- (* x y) (* z t))))))
1.5b
(sqrt (- (* x y) (* z t)))
2.0b
(cbrt (- (* x y) (* z t)))
2.0b
(cbrt (- (* x y) (* z t)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
14×sqrt-div
10×pow1 add-sqr-sqrt cbrt-div
9×add-exp-log add-cube-cbrt flip3-- *-un-lft-identity add-cbrt-cube flip--
8×associate-*r/
6×cbrt-prod associate-*l* sqrt-prod
4×frac-times add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×pow1/3 associate-*l/
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r* *-commutative
Counts
4 → 70
Calls
4 calls:
27.0ms
(* (sqrt (- (* x y) (* z t))) (* (fabs (cbrt (- (* x y) (* z t)))) (sqrt (cbrt (- (* x y) (* z t))))))
3.0ms
(sqrt (- (* x y) (* z t)))
2.0ms
(cbrt (- (* x y) (* z t)))
2.0ms
(cbrt (- (* x y) (* z t)))

series480.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (sqrt (- (* x y) (* z t))) (* (fabs (cbrt (- (* x y) (* z t)))) (sqrt (cbrt (- (* x y) (* z t))))))
88.0ms
(sqrt (- (* x y) (* z t)))
116.0ms
(cbrt (- (* x y) (* z t)))
113.0ms
(cbrt (- (* x y) (* z t)))

simplify49.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04671123
115331026
25001994

prune289.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes124.0ms

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
093
193

end0.0ms

sample696.0ms

Algorithm
intervals
Results
439.0ms10520×body80valid