Details

Time bar (total: 2.6s)

sample25.0ms

Algorithm
intervals
Results
15.0ms314×body80valid

simplify62.0ms

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: 13.4b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
12.9b
(/ (* x (+ y z)) z)

rewrite17.0ms

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)

series63.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* x (+ y z))
35.0ms
(/ (* x (+ y z)) z)

simplify37.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0226206
11099177
25001177

prune92.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
2.7b
(/ 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:
5.0ms
(/ z (+ y z))
12.0ms
(/ x (/ z (+ y z)))

series86.0ms

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

simplify53.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0413869
11890835
25002832

prune247.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
2.7b
(* x (/ (+ y z) z))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
16×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-/l*
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 68
Calls
2 calls:
8.0ms
(/ (+ y z) z)
17.0ms
(* x (/ (+ y z) z))

series52.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ (+ y z) z)
35.0ms
(* x (/ (+ y z) z))

simplify91.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0233344
11013313
23962313
35001313

prune132.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

2.7b
(/ x (* (* (cbrt (/ z (+ y z))) (cbrt (/ z (+ y z)))) (cbrt (/ z (+ y z)))))
2.8b
(cbrt (/ z (+ y z)))
2.8b
(cbrt (/ z (+ y z)))
2.8b
(cbrt (/ z (+ y z)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
54×cbrt-prod
48×*-un-lft-identity
39×times-frac
30×add-sqr-sqrt add-cube-cbrt
15×cbrt-div
13×add-exp-log associate-/r/
9×add-cbrt-cube distribute-lft-out
5×frac-times associate-*l/
4×pow1 div-inv add-log-exp
3×cbrt-undiv flip3-+ pow1/3 associate-*r/ div-exp prod-exp cbrt-unprod flip-+ associate-/l*
1×frac-2neg clear-num associate-/r*
Counts
4 → 111
Calls
4 calls:
46.0ms
(/ x (* (* (cbrt (/ z (+ y z))) (cbrt (/ z (+ y z)))) (cbrt (/ z (+ y z)))))
4.0ms
(cbrt (/ z (+ y z)))
3.0ms
(cbrt (/ z (+ y z)))
3.0ms
(cbrt (/ z (+ y z)))

series426.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(/ x (* (* (cbrt (/ z (+ y z))) (cbrt (/ z (+ y z)))) (cbrt (/ z (+ y z)))))
124.0ms
(cbrt (/ z (+ y z)))
128.0ms
(cbrt (/ z (+ y z)))
123.0ms
(cbrt (/ z (+ y z)))

simplify67.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
02931046
1753938
22716884
35001842

prune297.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes68.0ms

Accuracy

-3.3% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 3.0b

bsearch65.0ms

Steps
ItersRangePoint
9
8.712840792895999e+237
9.19505880624759e+244
1.1236583411516066e+238
6
5.288073834475204e+109
7.135840306141594e+110
1.1715459163105659e+110

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0219
1219

end0.0ms

sample601.0ms

Algorithm
intervals
Results
402.0ms9614×body80valid