Details

Time bar (total: 3.1s)

sample22.0ms

Algorithm
intervals
Results
7.0ms315×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
950023

prune8.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.2b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
10.6b
(/ (* x (+ y z)) z)

rewrite13.0ms

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:
5.0ms
(* x (+ y z))
6.0ms
(/ (* x (+ y z)) z)

series72.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* x (+ y z))
40.0ms
(/ (* x (+ y z)) z)

simplify35.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0226206
11099177
25001177

prune121.0ms

Filtered
52 candidates to 35 candidates (32.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New47552
Fresh000
Picked011
Done000
Total47653

Merged error: 0.0b

Counts
53 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
2.9b
(/ x (/ z (+ y z)))

rewrite18.0ms

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))
8.0ms
(/ x (/ z (+ y z)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ z (+ y z))
58.0ms
(/ x (/ z (+ y z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0413869
11890835
25001832

prune444.0ms

Filtered
129 candidates to 92 candidates (28.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1263129
Fresh224
Picked101
Done011
Total1296135

Merged error: 0b

Counts
135 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
3.4b
(* x (/ (+ y z) z))

rewrite15.0ms

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:
5.0ms
(/ (+ y z) z)
8.0ms
(* x (/ (+ y z) z))

series64.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (+ y z) z)
44.0ms
(* x (/ (+ y z) z))

simplify89.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0233344
11013313
23948313
35001313

prune163.0ms

Filtered
74 candidates to 48 candidates (35.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh044
Picked011
Done011
Total74680

Merged error: 0b

Counts
80 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
10.5b
(* (/ (* (cbrt x) (cbrt x)) z) (* (+ y z) (cbrt x)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
18×add-cbrt-cube
11×prod-exp cbrt-unprod
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
5×associate-*l/
4×cbrt-undiv div-exp add-log-exp
3×times-frac pow1/3 pow-prod-down
2×frac-times flip3-+ associate-*r/ flip-+
1×associate-*r* *-commutative div-inv
Counts
4 → 68
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
11.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (+ y z) (cbrt x)))

series702.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(cbrt x)
200.0ms
(cbrt x)
209.0ms
(cbrt x)
85.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (+ y z) (cbrt x)))

simplify48.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0336512
11578399
25002358

prune252.0ms

Filtered
80 candidates to 59 candidates (26.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New80080
Fresh033
Picked011
Done022
Total80686

Merged error: 0b

Counts
86 → 6

regimes261.0ms

Accuracy

94.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.3b

bsearch1.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
02627
12927
23518
33818
44418
55518
66218
76318
86318

end0.0ms

sample536.0ms

Algorithm
intervals
Results
219.0ms9654×body80valid

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