Details

Time bar (total: 4.6s)

sample34.0ms

Algorithm
intervals
Results
16.0ms521×body80valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 9 (94.0ms)

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

prune7.0ms

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: 4.8b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* (* y 4.0) (- t (* z z))))
4.5b
(* (* y 4.0) (- t (* z z)))

rewrite9.0ms

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

series183.0ms

Counts
2 → 6
Calls
2 calls:
97.0ms
(fma x x (* (* y 4.0) (- t (* z z))))
86.0ms
(* (* y 4.0) (- t (* z z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0252340
11165287
25002282

prune111.0ms

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: 2.7b

Counts
50 → 6

localize14.0ms

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)))))
4.5b
(* (* y 4.0) (- t (* z z)))
41.1b
(fma (- z) z (* z z))

rewrite10.0ms

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)))))
7.0ms
(* (* y 4.0) (- t (* z z)))
1.0ms
(fma (- z) z (* z z))

series1.9s

Counts
3 → 9
Calls
3 calls:
1.7s
(fma x x (+ (* (* y 4.0) (- t (* z z))) (* (* y 4.0) (fma (- z) z (* z z)))))
85.0ms
(* (* y 4.0) (- t (* z z)))
58.0ms
(fma (- z) z (* z z))

simplify57.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0268462
11232391
25002382

prune159.0ms

Filtered
62 candidates to 42 candidates (67.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New62062
Fresh044
Picked011
Done011
Total62668

Merged error: 2.7b

Counts
68 → 6

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify4.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
000

prune9.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done022
Total066

Merged error: 2.7b

Counts
6 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x x (cbrt (pow (* (* y 4.0) (- t (* z z))) 3)))
0.3b
(pow (* (* y 4.0) (- t (* z z))) 3)
4.5b
(* (* y 4.0) (- t (* z z)))
32.5b
(cbrt (pow (* (* y 4.0) (- t (* z z))) 3))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log add-cbrt-cube
10×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
8×cbrt-prod
6×associate-*r/ prod-diff pow-prod-down prod-exp cbrt-unprod
5×distribute-rgt-in distribute-lft-in
4×cube-div expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
3×pow-unpow flip3-- pow-pow pow-exp flip-- rem-cube-cbrt
2×cube-mult sub-neg unpow-prod-down cbrt-div unpow3 cube-prod sqr-pow
1×pow-to-exp pow1/3 associate-*l* *-commutative rem-cbrt-cube fma-udef difference-of-squares
Counts
4 → 93
Calls
4 calls:
1.0ms
(fma x x (cbrt (pow (* (* y 4.0) (- t (* z z))) 3)))
7.0ms
(pow (* (* y 4.0) (- t (* z z))) 3)
7.0ms
(* (* y 4.0) (- t (* z z)))
4.0ms
(cbrt (pow (* (* y 4.0) (- t (* z z))) 3))

series446.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(fma x x (cbrt (pow (* (* y 4.0) (- t (* z z))) 3)))
168.0ms
(pow (* (* y 4.0) (- t (* z z))) 3)
89.0ms
(* (* y 4.0) (- t (* z z)))
87.0ms
(cbrt (pow (* (* y 4.0) (- t (* z z))) 3))

simplify83.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0417705
12162639
25003635

prune244.0ms

Filtered
105 candidates to 68 candidates (64.8%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1041105
Fresh022
Picked011
Done033
Total1047111

Merged error: 2.7b

Counts
111 → 7

regimes250.0ms

Accuracy

83.2% (0.6b remaining)

Error of 3.1b against oracle of 2.6b and baseline of 5.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03020
13020

end0.0ms

sample925.0ms

Algorithm
intervals
Results
504.0ms15770×body80valid