Details

Time bar (total: 3.9s)

sample22.0ms

Algorithm
intervals
Results
8.0ms366×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0153
1343
2723
31003
41083
51083

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z y))
8.1b
(* (- (* x y) (* z y)) t)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×flip3-- distribute-rgt-out-- associate-*l/ flip--
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 34
Calls
2 calls:
7.0ms
(- (* x y) (* z y))
24.0ms
(* (- (* x y) (* z y)) t)

series67.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(- (* x y) (* z y))
39.0ms
(* (- (* x y) (* z y)) t)

simplify97.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0157205
1644173
23801169
35001169

prune83.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
5.5b
(* y (* (- x z) t))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×associate-*l*
7×*-un-lft-identity
5×add-cube-cbrt
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
2×flip3-- associate-*r/ *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 42
Calls
2 calls:
21.0ms
(* (- x z) t)
28.0ms
(* y (* (- x z) t))

series56.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(* (- x z) t)
33.0ms
(* y (* (- x z) t))

simplify165.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0183193
1784160
24688160
35001160

prune91.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
2.4b
(* (* (* y (- x z)) (cbrt t)) (cbrt t))
2.5b
(* (* (* (* y (- x z)) (cbrt t)) (cbrt t)) (cbrt t))
3.7b
(* (* y (- x z)) (cbrt t))

rewrite519.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log
19×pow-prod-down prod-exp cbrt-unprod
18×associate-*r*
16×add-cbrt-cube
12×cbrt-prod associate-*l/
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-*r/
4×add-log-exp
3×flip3-- associate-*l* *-commutative flip--
1×pow1/3
Counts
4 → 89
Calls
4 calls:
1.0ms
(cbrt t)
105.0ms
(* (* (* y (- x z)) (cbrt t)) (cbrt t))
380.0ms
(* (* (* (* y (- x z)) (cbrt t)) (cbrt t)) (cbrt t))
30.0ms
(* (* y (- x z)) (cbrt t))

series537.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt t)
173.0ms
(* (* (* y (- x z)) (cbrt t)) (cbrt t))
64.0ms
(* (* (* (* y (- x z)) (cbrt t)) (cbrt t)) (cbrt t))
128.0ms
(* (* y (- x z)) (cbrt t))

simplify67.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0402713
12110562
25001516

prune238.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* t (* y (+ x z))) (* y (- x z)))
0.7b
(+ (* x y) (* z y))
8.1b
(* t (* y (+ x z)))
21.3b
(/ (* (* t (* y (+ x z))) (* y (- x z))) (+ (* x y) (* z y)))

rewrite257.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log add-cbrt-cube
44×associate-*r/
33×prod-exp cbrt-unprod
30×pow1
18×pow-prod-down
12×distribute-rgt-in distribute-lft-in
9×flip3-+ flip-+
8×frac-times associate-/l/
7×cbrt-undiv add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-exp
6×flip3-- flip-- add-log-exp
4×sub-neg times-frac associate-*l* associate-*l/ associate-/r*
3×distribute-rgt-out
2×associate-*r* associate-/r/ *-commutative
1×+-commutative frac-2neg clear-num sum-log div-inv associate-/l*
Counts
4 → 123
Calls
4 calls:
104.0ms
(* (* t (* y (+ x z))) (* y (- x z)))
7.0ms
(+ (* x y) (* z y))
24.0ms
(* t (* y (+ x z)))
116.0ms
(/ (* (* t (* y (+ x z))) (* y (- x z))) (+ (* x y) (* z y)))

series270.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* (* t (* y (+ x z))) (* y (- x z)))
24.0ms
(+ (* x y) (* z y))
38.0ms
(* t (* y (+ x z)))
109.0ms
(/ (* (* t (* y (+ x z))) (* y (- x z))) (+ (* x y) (* z y)))

simplify39.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
07121278
15001986

prune245.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes359.0ms

Accuracy

94% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 6.8b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04234
14234

end0.0ms

sample601.0ms

Algorithm
intervals
Results
255.0ms10646×body80valid