Details

Time bar (total: 3.9s)

sample16.0ms

Algorithm
intervals
Results
6.0ms310×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1243
2523
3883
41023
51023

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.6b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

1.5b
(* x (- 1.0 (* y z)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
3×pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
6.0ms
(* x (- 1.0 (* y z)))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(* x (- 1.0 (* y z)))

simplify76.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0151195
1598171
22506166
35003160

prune63.0ms

Filtered
35 candidates to 20 candidates (57.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New28735
Fresh000
Picked011
Done000
Total28836

Merged error: 1.5b

Counts
36 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
1.6b
(cbrt (- 1.0 (* y z)))
1.6b
(cbrt (- 1.0 (* y z)))
1.6b
(cbrt (- 1.0 (* y z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
8.0ms
(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))

series879.0ms

Counts
4 → 12
Calls
4 calls:
215.0ms
(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
217.0ms
(cbrt (- 1.0 (* y z)))
220.0ms
(cbrt (- 1.0 (* y z)))
227.0ms
(cbrt (- 1.0 (* y z)))

simplify70.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
03691126
114401071
250021010

prune319.0ms

Filtered
107 candidates to 83 candidates (77.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1052107
Fresh246
Picked011
Done011
Total1078115

Merged error: 1.5b

Counts
115 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

1.6b
(cbrt (- 1.0 (* y z)))
1.6b
(cbrt (- 1.0 (* y z)))
1.7b
(cbrt (+ 1.0 (* y z)))
10.8b
(cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- flip--
1×flip3-+ flip-+ difference-of-squares
Counts
4 → 61
Calls
4 calls:
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (+ 1.0 (* y z)))
4.0ms
(cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))

series769.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(cbrt (- 1.0 (* y z)))
237.0ms
(cbrt (- 1.0 (* y z)))
200.0ms
(cbrt (+ 1.0 (* y z)))
111.0ms
(cbrt (- (* 1.0 1.0) (* (* y z) (* y z))))

simplify52.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0398733
11455697
25001670

prune329.0ms

Filtered
73 candidates to 71 candidates (97.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New73073
Fresh055
Picked011
Done022
Total73881

Merged error: 1.5b

Counts
81 → 8

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (sqrt (- 1.0 (* y z))))
0.1b
(* (* x (sqrt (- 1.0 (* y z)))) (sqrt (- 1.0 (* y z))))
0.5b
(sqrt (- 1.0 (* y z)))
0.5b
(sqrt (- 1.0 (* y z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-div
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*r/
9×flip3-- flip--
4×expm1-log1p-u frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
6.0ms
(* x (sqrt (- 1.0 (* y z))))
10.0ms
(* (* x (sqrt (- 1.0 (* y z)))) (sqrt (- 1.0 (* y z))))
3.0ms
(sqrt (- 1.0 (* y z)))
3.0ms
(sqrt (- 1.0 (* y z)))

series311.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* x (sqrt (- 1.0 (* y z))))
50.0ms
(* (* x (sqrt (- 1.0 (* y z)))) (sqrt (- 1.0 (* y z))))
90.0ms
(sqrt (- 1.0 (* y z)))
91.0ms
(sqrt (- 1.0 (* y z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0354762
11533664
25002648

prune221.0ms

Filtered
103 candidates to 72 candidates (69.9%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New985103
Fresh224
Picked101
Done033
Total10110111

Merged error: 1.5b

Counts
111 → 10

regimes196.0ms

Accuracy

0% (0.1b remaining)

Error of 3.3b against oracle of 3.2b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample388.0ms

Algorithm
intervals
Results
198.0ms9572×body80valid