Details

Time bar (total: 3.8s)

sample18.0ms

Algorithm
intervals
Results
6.0ms322×body80valid
0.0ms3×body640valid
0.0ms2×body1280valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0184
1284
2384
3414
4414

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
0.0b
(+ (* x (+ y z)) (* z 5.0))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
19.0ms
(* x (+ y z))
13.0ms
(+ (* x (+ y z)) (* z 5.0))

series50.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* x (+ y z))
25.0ms
(+ (* x (+ y z)) (* z 5.0))

simplify121.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0212186
1877169
24182168
35001168

prune73.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z 5.0) (* z 5.0))
0.3b
(* (* x (+ y z)) (* x (+ y z)))
4.5b
(- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0)))
28.5b
(/ (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0))) (- (* x (+ y z)) (* z 5.0)))

rewrite319.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1
34×pow-prod-down
30×add-exp-log add-cbrt-cube
16×prod-exp cbrt-unprod
14×associate-*r/
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
8×distribute-rgt-in distribute-lft-in pow-sqr pow-prod-up
6×flip3-+ flip-+ add-log-exp
5×difference-of-squares
4×frac-times pow-plus associate--l+ associate-/l*
3×flip3-- associate-/r* flip--
2×pow2 swap-sqr 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
Counts
4 → 133
Calls
4 calls:
27.0ms
(* (* z 5.0) (* z 5.0))
53.0ms
(* (* x (+ y z)) (* x (+ y z)))
67.0ms
(- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0)))
167.0ms
(/ (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0))) (- (* x (+ y z)) (* z 5.0)))

series237.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (* z 5.0) (* z 5.0))
28.0ms
(* (* x (+ y z)) (* x (+ y z)))
58.0ms
(- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0)))
127.0ms
(/ (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0))) (- (* x (+ y z)) (* z 5.0)))

simplify99.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
05991378
131991171
250011150

prune231.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x (+ y z)) (* z 5.0))) (cbrt (- (* x (+ y z)) (* z 5.0))))
0.5b
(cbrt (- (* x (+ y z)) (* z 5.0)))
0.5b
(cbrt (- (* x (+ y z)) (* z 5.0)))
0.5b
(cbrt (- (* x (+ y z)) (* z 5.0)))

rewrite138.0ms

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:
99.0ms
(* (cbrt (- (* x (+ y z)) (* z 5.0))) (cbrt (- (* x (+ y z)) (* z 5.0))))
12.0ms
(cbrt (- (* x (+ y z)) (* z 5.0)))
12.0ms
(cbrt (- (* x (+ y z)) (* z 5.0)))
13.0ms
(cbrt (- (* x (+ y z)) (* z 5.0)))

series635.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(* (cbrt (- (* x (+ y z)) (* z 5.0))) (cbrt (- (* x (+ y z)) (* z 5.0))))
148.0ms
(cbrt (- (* x (+ y z)) (* z 5.0)))
145.0ms
(cbrt (- (* x (+ y z)) (* z 5.0)))
149.0ms
(cbrt (- (* x (+ y z)) (* z 5.0)))

simplify49.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03171282
110891201
250021093

prune282.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 5.0 (* z 5.0))
0.3b
(* (* x (+ y z)) (* x (+ y z)))
4.5b
(- (* (* x (+ y z)) (* x (+ y z))) (* z (* 5.0 (* z 5.0))))
28.5b
(/ (- (* (* x (+ y z)) (* x (+ y z))) (* z (* 5.0 (* z 5.0)))) (- (* x (+ y z)) (* z 5.0)))

rewrite321.0ms

Algorithm
rewrite-expression-head
Rules
48×pow1
23×add-exp-log add-cbrt-cube
20×pow-prod-down
14×associate-*r/
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
11×prod-exp cbrt-unprod
9×times-frac
8×distribute-rgt-in distribute-lft-in
6×flip3-+ flip-+ add-log-exp
4×frac-times associate-*l* associate--l+ pow-sqr pow-prod-up
3×flip3-- associate-/r* flip-- associate-/l*
2×pow-plus associate-*r* associate-*l/ associate-/r/ *-commutative associate-/l/
1×cbrt-undiv pow2 sub-neg frac-2neg diff-log div-sub swap-sqr div-exp clear-num div-inv
Counts
4 → 112
Calls
4 calls:
16.0ms
(* 5.0 (* z 5.0))
53.0ms
(* (* x (+ y z)) (* x (+ y z)))
75.0ms
(- (* (* x (+ y z)) (* x (+ y z))) (* z (* 5.0 (* z 5.0))))
172.0ms
(/ (- (* (* x (+ y z)) (* x (+ y z))) (* z (* 5.0 (* z 5.0)))) (- (* x (+ y z)) (* z 5.0)))

series234.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* 5.0 (* z 5.0))
29.0ms
(* (* x (+ y z)) (* x (+ y z)))
61.0ms
(- (* (* x (+ y z)) (* x (+ y z))) (* z (* 5.0 (* z 5.0))))
130.0ms
(/ (- (* (* x (+ y z)) (* x (+ y z))) (* z (* 5.0 (* z 5.0)))) (- (* x (+ y z)) (* z 5.0)))

simplify102.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
05851315
130141143
250011130

prune226.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
1124

end0.0ms

sample502.0ms

Algorithm
intervals
Results
206.0ms9847×body80valid
9.0ms107×body1280valid
7.0ms97×body640valid
3.0ms62×body320valid
1.0ms29×body160valid