Details

Time bar (total: 6.9s)

sample41.0ms

Algorithm
intervals
Results
21.0ms525×body80valid

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 9 (87.0ms)

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

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* (* y 4.0) (- t (* z z))))
6.0b
(* (* y 4.0) (- t (* z z)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
6×add-sqr-sqrt prod-diff
5×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
4×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u add-log-exp
1×flip3-- associate-*l* *-commutative flip-- fma-udef difference-of-squares
Counts
2 → 43
Calls
2 calls:
1.0ms
(fma x x (* (* y 4.0) (- t (* z z))))
8.0ms
(* (* y 4.0) (- t (* z z)))

series173.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(fma x x (* (* y 4.0) (- t (* z z))))
87.0ms
(* (* y 4.0) (- t (* z z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0252340
11165287
25002282

prune110.0ms

Filtered
49 candidates to 31 candidates (63.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New44549
Fresh000
Picked011
Done000
Total44650

Merged error: 1.7b

Counts
50 → 6

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x x (+ (* (* y 4.0) (- t (* z z))) (* (* y 4.0) (fma (- z) z (* z z)))))
6.0b
(* (* y 4.0) (- t (* z z)))
38.3b
(fma (- z) z (* z z))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity prod-diff
5×distribute-rgt-in distribute-lft-in
4×associate-*r*
3×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×sub-neg associate-*r/ fma-udef
1×flip3-- associate-*l* *-commutative flip-- difference-of-squares
Counts
3 → 53
Calls
3 calls:
1.0ms
(fma x x (+ (* (* y 4.0) (- t (* z z))) (* (* y 4.0) (fma (- z) z (* z z)))))
8.0ms
(* (* y 4.0) (- t (* z z)))
1.0ms
(fma (- z) z (* z z))

series1.9s

Counts
3 → 9
Calls
3 calls:
1.8s
(fma x x (+ (* (* y 4.0) (- t (* z z))) (* (* y 4.0) (fma (- z) z (* z z)))))
90.0ms
(* (* y 4.0) (- t (* z z)))
59.0ms
(fma (- z) z (* z z))

simplify54.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0268462
11232391
25002382

prune178.0ms

Filtered
62 candidates to 42 candidates (67.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New60262
Fresh044
Picked011
Done011
Total60868

Merged error: 1.7b

Counts
68 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

5.4b
(cbrt (* (* y 4.0) (- t (* z z))))
6.0b
(* (* y 4.0) (- t (* z z)))
6.0b
(* (* y 4.0) (- t (* z z)))
6.0b
(* (* y 4.0) (- t (* z z)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-exp-log add-cbrt-cube
18×prod-diff
16×add-sqr-sqrt
15×distribute-rgt-in distribute-lft-in
13×add-cube-cbrt *-un-lft-identity
12×associate-*r*
9×pow-prod-down prod-exp cbrt-unprod
8×associate-*r/
6×sub-neg
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×associate-*l* *-commutative difference-of-squares
2×cbrt-div
1×cbrt-prod pow1/3
Counts
4 → 112
Calls
4 calls:
11.0ms
(cbrt (* (* y 4.0) (- t (* z z))))
8.0ms
(* (* y 4.0) (- t (* z z)))
8.0ms
(* (* y 4.0) (- t (* z z)))
8.0ms
(* (* y 4.0) (- t (* z z)))

series632.0ms

Counts
4 → 12
Calls
4 calls:
365.0ms
(cbrt (* (* y 4.0) (- t (* z z))))
90.0ms
(* (* y 4.0) (- t (* z z)))
91.0ms
(* (* y 4.0) (- t (* z z)))
85.0ms
(* (* y 4.0) (- t (* z z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0331878
11356753
25001735

prune348.0ms

Filtered
124 candidates to 75 candidates (60.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1213124
Fresh055
Picked011
Done112
Total12210132

Merged error: 1.7b

Counts
132 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

6.0b
(* (* y 4.0) (- t (* z z)))
6.5b
(cbrt (- t (* z z)))
6.5b
(cbrt (- t (* z z)))
6.5b
(cbrt (- t (* z z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×cbrt-prod
10×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
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 difference-of-squares
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×associate-*l* *-commutative
Counts
4 → 81
Calls
4 calls:
8.0ms
(* (* y 4.0) (- t (* z z)))
3.0ms
(cbrt (- t (* z z)))
8.0ms
(cbrt (- t (* z z)))
3.0ms
(cbrt (- t (* z z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
90.0ms
(* (* y 4.0) (- t (* z z)))
327.0ms
(cbrt (- t (* z z)))
325.0ms
(cbrt (- t (* z z)))
320.0ms
(cbrt (- t (* z z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0345642
11391583
25001569

prune419.0ms

Filtered
93 candidates to 77 candidates (82.8%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh077
Picked011
Done022
Total9310103

Merged error: 1.7b

Counts
103 → 10

regimes426.0ms

Accuracy

67.2% (1.0b remaining)

Error of 3.8b against oracle of 2.8b and baseline of 5.8b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03020
13020

end0.0ms

sample1.2s

Algorithm
intervals
Results
688.0ms15839×body80valid