Details

Time bar (total: 3.1s)

sample16.0ms

Algorithm
intervals
Results
7.0ms322×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: 13.6b

localize5.0ms

Local error

Found 2 expressions with local error:

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

series64.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* x (+ y z))
39.0ms
(/ (* x (+ y z)) z)

simplify37.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0226206
11099177
25001177

prune105.0ms

Pruning

7 alts after pruning (7 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)))

rewrite20.0ms

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))
9.0ms
(/ x (/ z (+ y z)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ z (+ y z))
49.0ms
(/ x (/ z (+ y z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0413869
11890835
25002832

prune264.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.1b
(* (/ (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (cbrt (+ y z)))))

rewrite124.0ms

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:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)
104.0ms
(* (/ (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (cbrt (+ y z)))))

series581.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt z)
181.0ms
(cbrt z)
185.0ms
(cbrt z)
31.0ms
(* (/ (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (cbrt (+ y z)))))

simplify73.0ms

Algorithm
egg-herbie
Counts
253 → 253
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
015504117
150013772

prune856.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
3.2b
(* x (/ (+ y z) z))

rewrite24.0ms

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)
14.0ms
(* x (/ (+ y z) z))

series55.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ (+ y z) z)
38.0ms
(* x (/ (+ y z) z))

simplify87.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0233344
11013313
23962313
35001313

prune136.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01415
11415

end0.0ms

sample397.0ms

Algorithm
intervals
Results
205.0ms9542×body80valid