Details

Time bar (total: 3.7s)

sample31.0ms

Algorithm
intervals
Results
14.0ms499×body80valid

simplify97.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 9 (82.0ms)

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: 6.3b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* z z))
5.9b
(* (* y 4.0) (- t (* z z)))

rewrite12.0ms

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))
7.0ms
(* (* y 4.0) (- t (* z z)))

series110.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- t (* z z))
77.0ms
(* (* y 4.0) (- t (* z z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0257349
11187299
25001292

prune140.0ms

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: 2.2b

Counts
61 → 7

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* z z))
5.9b
(* (* y 4.0) (- t (* z z)))
41.5b
(fma (- z) z (* z z))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×prod-diff
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
5×distribute-rgt-in distribute-lft-in add-log-exp
4×associate-*r*
3×expm1-log1p-u sub-neg fma-neg pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×flip3-- associate-*r/ flip-- difference-of-squares
1×diff-log associate-*l* *-commutative fma-udef
Counts
3 → 64
Calls
3 calls:
3.0ms
(- t (* z z))
7.0ms
(* (* y 4.0) (- t (* z z)))
1.0ms
(fma (- z) z (* z z))

series178.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- t (* z z))
79.0ms
(* (* y 4.0) (- t (* z z)))
57.0ms
(fma (- z) z (* z z))

simplify45.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0266399
11192342
25001335

prune192.0ms

Filtered
73 candidates to 50 candidates (68.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New73073
Fresh066
Picked011
Done000
Total73780

Merged error: 2.2b

Counts
80 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

5.9b
(* (* y 4.0) (- t (* z z)))
6.2b
(cbrt (* (* y 4.0) (- t (* z z))))
6.2b
(cbrt (* (* y 4.0) (- t (* z z))))
6.2b
(cbrt (* (* y 4.0) (- t (* z z))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt associate-*r/
7×add-cube-cbrt *-un-lft-identity
6×cbrt-div prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u flip3-- associate-*r* flip-- log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 pow-prod-down prod-exp cbrt-unprod
2×sub-neg
1×associate-*l* *-commutative difference-of-squares
Counts
4 → 72
Calls
4 calls:
7.0ms
(* (* y 4.0) (- t (* z z)))
6.0ms
(cbrt (* (* y 4.0) (- t (* z z))))
5.0ms
(cbrt (* (* y 4.0) (- t (* z z))))
5.0ms
(cbrt (* (* y 4.0) (- t (* z z))))

series1.1s

Counts
4 → 12
Calls
4 calls:
85.0ms
(* (* y 4.0) (- t (* z z)))
332.0ms
(cbrt (* (* y 4.0) (- t (* z z))))
333.0ms
(cbrt (* (* y 4.0) (- t (* z z))))
332.0ms
(cbrt (* (* y 4.0) (- t (* z z))))

simplify50.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0331642
11356571
25001549

prune267.0ms

Filtered
84 candidates to 65 candidates (77.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh055
Picked011
Done011
Total84791

Merged error: 2.2b

Counts
91 → 7

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune1.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New000
Fresh044
Picked011
Done022
Total077

Merged error: 2.2b

Counts
7 → 7

regimes260.0ms

Accuracy

80.8% (0.6b remaining)

Error of 3.1b against oracle of 2.5b and baseline of 5.6b

bsearch4.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03020
13020

end0.0ms

sample1.1s

Algorithm
intervals
Results
694.0ms15662×body80valid