Details

Time bar (total: 3.4s)

sample23.0ms

Algorithm
intervals
Results
13.0ms316×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0163
1223
2333
3363
4423
5463
6543
72823
820723
950013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
9.6b
(/ (* x (+ y z)) z)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
4×pow1 associate-*r/ associate-*r*
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
9.0ms
(* x (+ y z))
6.0ms
(/ (* x (+ y z)) z)

series59.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* x (+ y z))
35.0ms
(/ (* x (+ y z)) z)

simplify36.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0226206
11099177
25001177

prune90.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
4.5b
(/ x (/ z (+ y z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 123
Calls
2 calls:
8.0ms
(/ z (+ y z))
9.0ms
(/ x (/ z (+ y z)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ z (+ y z))
43.0ms
(/ x (/ z (+ y z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0413869
11890835
25002832

prune244.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (/ (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (cbrt (+ y z)))))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
295×times-frac
174×add-sqr-sqrt *-un-lft-identity
152×cbrt-prod
149×associate-*r*
138×add-cube-cbrt
73×add-exp-log
39×add-cbrt-cube
27×cbrt-undiv div-exp prod-exp cbrt-unprod
18×distribute-lft-out
12×unswap-sqr
7×associate-/r/
6×pow1 cbrt-div
5×associate-*l* div-inv
4×add-log-exp
3×flip3-+ pow1/3 flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 241
Calls
4 calls:
103.0ms
(* (/ (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (cbrt (+ y z)))))
3.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)

series589.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (/ (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (cbrt (+ y z)))))
182.0ms
(cbrt z)
184.0ms
(cbrt z)
184.0ms
(cbrt z)

simplify65.0ms

Algorithm
egg-herbie
Counts
253 → 253
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
015504117
150013772

prune783.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
4.5b
(/ x (pow (/ z (+ y z)) 1))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
126×times-frac
102×*-un-lft-identity
72×unpow-prod-down
70×add-sqr-sqrt add-cube-cbrt
26×associate-/r*
16×distribute-lft-out
12×add-exp-log
10×associate-/r/
6×div-exp add-cbrt-cube div-inv associate-/l*
5×flip3-+ flip-+
4×sqr-pow
2×pow1 cbrt-undiv frac-2neg pow-exp clear-num add-log-exp
1×pow-to-exp
Counts
2 → 139
Calls
2 calls:
5.0ms
(/ z (+ y z))
17.0ms
(/ x (pow (/ z (+ y z)) 1))

series89.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ z (+ y z))
49.0ms
(/ x (pow (/ z (+ y z)) 1))

simplify60.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04421158
11937976
25001948

prune264.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01415
11415

end0.0ms

sample601.0ms

Algorithm
intervals
Results
401.0ms9604×body80valid