Details

Time bar (total: 2.6s)

analyze275.0ms

Algorithm
search

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms19×body80invalid

simplify214.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1344
2844
32064
44064
55404
67064
79574
814584
923844
1033754
1137624
1243764
1350024

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.6b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.4b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 46
Calls
2 calls:
8.0ms
(* (- 1.0 y) z)
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (- 1.0 y) z)
11.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify91.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0211251
1863221
23970215
35001215

prune59.0ms

Filtered
33 candidates to 52 candidates (-57.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New50252
Fresh000
Picked011
Done000
Total50353

Merged error: 0.0b

Counts
53 → 3

localize7.0ms

Local error

Found 1 expressions with local error:

3.1b
(* (* x z) (- y 1.0))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
7.0ms
(* (* x z) (- y 1.0))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(* (* x z) (- y 1.0))

simplify94.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0173138
1826113
24381113
35001113

prune36.0ms

Filtered
16 candidates to 29 candidates (-81.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New28129
Fresh011
Picked011
Done011
Total28432

Merged error: 0b

Counts
32 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (* x (- 1.0 (* (- 1.0 y) z))))
0.3b
(* (sqrt (* x (- 1.0 (* (- 1.0 y) z)))) (sqrt (* x (- 1.0 (* (- 1.0 y) z)))))
3.4b
(* x (- 1.0 (* (- 1.0 y) z)))
3.4b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
60×pow1
30×sqrt-pow1
23×pow-prod-down
20×associate-*r/
18×add-sqr-sqrt
14×sqrt-div
12×add-cube-cbrt *-un-lft-identity
11×pow1/2
10×add-exp-log associate-*r* associate-*l* pow-prod-up add-cbrt-cube
9×flip3-- flip--
6×pow-sqr
5×sqrt-prod
4×distribute-rgt-in frac-times sub-neg distribute-lft-in swap-sqr add-log-exp
3×prod-exp *-commutative cbrt-unprod unswap-sqr
2×associate-*l/
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 118
Calls
4 calls:
3.0ms
(sqrt (* x (- 1.0 (* (- 1.0 y) z))))
11.0ms
(* (sqrt (* x (- 1.0 (* (- 1.0 y) z)))) (sqrt (* x (- 1.0 (* (- 1.0 y) z)))))
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))
6.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series129.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(sqrt (* x (- 1.0 (* (- 1.0 y) z))))
81.0ms
(* (sqrt (* x (- 1.0 (* (- 1.0 y) z)))) (sqrt (* x (- 1.0 (* (- 1.0 y) z)))))
13.0ms
(* x (- 1.0 (* (- 1.0 y) z)))
11.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0333898
11586805
25001775

prune152.0ms

Filtered
75 candidates to 130 candidates (-73.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1300130
Fresh011
Picked011
Done022
Total1304134

Merged error: 0b

Counts
134 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (* x z) (sqrt (- y 1.0)))
0.7b
(* (* (* x z) (sqrt (- y 1.0))) (sqrt (- y 1.0)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log associate-*r* add-cbrt-cube
14×sqrt-div
10×add-sqr-sqrt *-un-lft-identity associate-*r/ sqrt-prod
9×pow-prod-down prod-exp cbrt-unprod
7×flip3-- flip--
6×add-cube-cbrt
4×frac-times
2×associate-*l* associate-*l/ *-commutative distribute-lft-out-- add-log-exp difference-of-squares
Counts
2 → 59
Calls
2 calls:
8.0ms
(* (* x z) (sqrt (- y 1.0)))
13.0ms
(* (* (* x z) (sqrt (- y 1.0))) (sqrt (- y 1.0)))

series30.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(* (* x z) (sqrt (- y 1.0)))
13.0ms
(* (* (* x z) (sqrt (- y 1.0))) (sqrt (- y 1.0)))

simplify62.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0470546
12273461
25002449

prune80.0ms

Filtered
38 candidates to 65 candidates (-71.1%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New65065
Fresh000
Picked011
Done033
Total65469

Merged error: 0b

Counts
69 → 4

regimes470.0ms

Accuracy

0% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

analyze267.0ms

Algorithm
search

sample406.0ms

Algorithm
intervals
Results
230.0ms8000×body80valid
20.0ms723×body80invalid

Profiling

Loading profile data...