Details

Time bar (total: 2.4s)

sample19.0ms

Algorithm
intervals
Results
7.0ms336×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1103

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
6.0ms
(+ (* x y) (* z t))

series35.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(+ (* x y) (* z t))

simplify116.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010074
136367
2105167
3293167
4500167

prune33.0ms

Filtered
14 candidates to 12 candidates (85.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z t) (* z t))
0.3b
(* (* x y) (* x y))
2.2b
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
25.2b
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1
34×pow-prod-down
30×add-exp-log add-cbrt-cube
16×prod-exp cbrt-unprod
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
8×pow-sqr pow-prod-up
6×add-log-exp
5×difference-of-squares
4×pow-plus associate-/l*
3×flip3-- associate-/r* flip--
2×pow2 swap-sqr associate-*r* associate-*l* associate-/r/ *-commutative associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 117
Calls
4 calls:
6.0ms
(* (* z t) (* z t))
6.0ms
(* (* x y) (* x y))
6.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
12.0ms
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

series250.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (* z t) (* z t))
32.0ms
(* (* x y) (* x y))
106.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
79.0ms
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

simplify79.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0413954
12306805
25002788

prune187.0ms

Filtered
129 candidates to 66 candidates (51.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (- (* x y) (* z t)))
0.3b
(* (* x y) (* x y))
2.2b
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
25.4b
(* (- (* (* x y) (* x y)) (* (* z t) (* z t))) (/ 1 (- (* x y) (* z t))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
46×pow1
29×add-exp-log
27×add-sqr-sqrt
23×add-cbrt-cube
21×*-un-lft-identity
20×add-cube-cbrt times-frac
18×pow-prod-down
16×associate-*r*
12×prod-exp
10×cbrt-unprod
6×add-log-exp
5×flip3-- associate-*l* flip--
4×div-exp associate-/r/ pow-sqr pow-prod-up
3×associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp pow-plus 1-exp associate-*l/ *-commutative div-inv difference-of-squares
1×pow2 sub-neg pow-flip frac-2neg diff-log associate-*r/ swap-sqr clear-num un-div-inv inv-pow
Counts
4 → 123
Calls
4 calls:
5.0ms
(/ 1 (- (* x y) (* z t)))
6.0ms
(* (* x y) (* x y))
6.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
15.0ms
(* (- (* (* x y) (* x y)) (* (* z t) (* z t))) (/ 1 (- (* x y) (* z t))))

series242.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ 1 (- (* x y) (* z t)))
33.0ms
(* (* x y) (* x y))
101.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
80.0ms
(* (- (* (* x y) (* x y)) (* (* z t) (* z t))) (/ 1 (- (* x y) (* z t))))

simplify140.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (129.0ms)

IterNodesCost
04131159
12885981
25001882

prune223.0ms

Filtered
135 candidates to 75 candidates (55.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* t z) (* x y))
0.3b
(pow (/ (+ (* t z) (* x y)) 1) 3)
36.0b
(cbrt (pow (/ (+ (* t z) (* x y)) 1) 3))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
32×cbrt-prod
26×unpow-prod-down cube-prod
7×add-exp-log
6×add-cbrt-cube
5×add-log-exp
4×pow1 div-inv
3×pow-unpow pow-exp
2×cube-div cube-mult unpow3 div-exp rem-cube-cbrt sqr-pow
1×cbrt-undiv +-commutative pow-to-exp cbrt-div pow-pow flip3-+ pow1/3 1-exp sum-log rem-cbrt-cube flip-+
Counts
3 → 100
Calls
3 calls:
7.0ms
(+ (* t z) (* x y))
6.0ms
(pow (/ (+ (* t z) (* x y)) 1) 3)
6.0ms
(cbrt (pow (/ (+ (* t z) (* x y)) 1) 3))

series196.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (* t z) (* x y))
125.0ms
(pow (/ (+ (* t z) (* x y)) 1) 3)
34.0ms
(cbrt (pow (/ (+ (* t z) (* x y)) 1) 3))

simplify52.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0414773
11709673
25002652

prune126.0ms

Filtered
109 candidates to 45 candidates (41.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes121.0ms

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
0103
1103

end0.0ms

sample476.0ms

Algorithm
intervals
Results
224.0ms10479×body80valid