Details

Time bar (total: 3.4s)

sample35.0ms

Algorithm
intervals
Results
18.0ms501×body80valid

simplify120.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 9 (102.0ms)

IterNodesCost
0216
1526
21716
34016
48296
510906
616106
719566
822526
923675
1023675

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 5.8b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* z z))
5.5b
(* (* y 4.0) (- t (* z z)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt prod-diff
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
5×distribute-rgt-in distribute-lft-in
4×associate-*r* add-log-exp
3×sub-neg fma-neg pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u difference-of-squares
1×diff-log associate-*l* *-commutative
Counts
2 → 54
Calls
2 calls:
3.0ms
(- t (* z z))
8.0ms
(* (* y 4.0) (- t (* z z)))

series129.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- t (* z z))
90.0ms
(* (* y 4.0) (- t (* z z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0257349
11187299
25001292

prune169.0ms

Filtered
60 candidates to 39 candidates (65.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New53760
Fresh000
Picked101
Done000
Total54761

Merged error: 2.6b

Counts
61 → 7

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
9.5b
(* (* y 4.0) (- (* z z)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
6×associate-*r*
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative distribute-lft-neg-in neg-mul-1 fma-def distribute-rgt-neg-in flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+ distribute-lft-out
Counts
2 → 41
Calls
2 calls:
5.0ms
(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
7.0ms
(* (* y 4.0) (- (* z z)))

series143.0ms

Counts
2 → 6
Calls
2 calls:
101.0ms
(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
41.0ms
(* (* y 4.0) (- (* z z)))

simplify70.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0247292
11378241
25001238

prune137.0ms

Filtered
47 candidates to 33 candidates (70.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New46147
Fresh516
Picked011
Done000
Total51354

Merged error: 0.0b

Counts
54 → 3

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* y 4.0) t) (* (* (* y 4.0) z) (- z)))
0.2b
(* (* (* y 4.0) z) (- z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
10×associate-*r*
6×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in distribute-rgt-neg-out
2×expm1-log1p-u log1p-expm1-u
1×+-commutative neg-mul-1 fma-def flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+
Counts
2 → 47
Calls
2 calls:
6.0ms
(+ (* (* y 4.0) t) (* (* (* y 4.0) z) (- z)))
9.0ms
(* (* (* y 4.0) z) (- z))

series158.0ms

Counts
2 → 6
Calls
2 calls:
117.0ms
(+ (* (* y 4.0) t) (* (* (* y 4.0) z) (- z)))
40.0ms
(* (* (* y 4.0) z) (- z))

simplify80.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0306336
11663292
25001273

prune147.0ms

Filtered
53 candidates to 36 candidates (67.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New51253
Fresh011
Picked011
Done011
Total51556

Merged error: 0b

Counts
56 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* (* y 4.0) z) (- z))) (cbrt (* (* (* y 4.0) z) (- z))))
20.0b
(cbrt (* (* (* y 4.0) z) (- z)))
20.0b
(cbrt (* (* (* y 4.0) z) (- z)))
20.0b
(cbrt (* (* (* y 4.0) z) (- z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
8.0ms
(* (cbrt (* (* (* y 4.0) z) (- z))) (cbrt (* (* (* y 4.0) z) (- z))))
6.0ms
(cbrt (* (* (* y 4.0) z) (- z)))
6.0ms
(cbrt (* (* (* y 4.0) z) (- z)))
6.0ms
(cbrt (* (* (* y 4.0) z) (- z)))

series547.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(* (cbrt (* (* (* y 4.0) z) (- z))) (cbrt (* (* (* y 4.0) z) (- z))))
127.0ms
(cbrt (* (* (* y 4.0) z) (- z)))
127.0ms
(cbrt (* (* (* y 4.0) z) (- z)))
126.0ms
(cbrt (* (* (* y 4.0) z) (- z)))

simplify139.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (131.0ms)

IterNodesCost
0234671
1791588
23853515
35001508

prune307.0ms

Filtered
78 candidates to 64 candidates (82.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh022
Picked011
Done022
Total78583

Merged error: 0b

Counts
83 → 5

regimes167.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198
1238
2298
3358
4358

end0.0ms

sample872.0ms

Algorithm
intervals
Results
484.0ms15597×body80valid