Details

Time bar (total: 5.8s)

sample32.0ms

Algorithm
intervals
Results
15.0ms502×body80valid

simplify96.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 9 (81.0ms)

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: 7.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* (* y 4.0) (- t (* z z))))
6.7b
(* (* 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)))

series171.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(fma x x (* (* y 4.0) (- t (* z z))))
79.0ms
(* (* y 4.0) (- t (* z z)))

simplify40.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0252340
11165287
25002282

prune109.0ms

Filtered
49 candidates to 31 candidates (63.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New43649
Fresh000
Picked011
Done000
Total43750

Merged error: 2.7b

Counts
50 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

4.9b
(cbrt (* (* y 4.0) (- t (* z z))))
6.7b
(* (* y 4.0) (- t (* z z)))
6.7b
(* (* y 4.0) (- t (* z z)))
6.7b
(* (* y 4.0) (- t (* z z)))

rewrite30.0ms

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:
5.0ms
(cbrt (* (* y 4.0) (- t (* z z))))
7.0ms
(* (* y 4.0) (- t (* z z)))
7.0ms
(* (* y 4.0) (- t (* z z)))
7.0ms
(* (* y 4.0) (- t (* z z)))

series555.0ms

Counts
4 → 12
Calls
4 calls:
313.0ms
(cbrt (* (* y 4.0) (- t (* z z))))
80.0ms
(* (* y 4.0) (- t (* z z)))
80.0ms
(* (* y 4.0) (- t (* z z)))
81.0ms
(* (* y 4.0) (- t (* z z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0331878
11356753
25001735

prune538.0ms

Filtered
124 candidates to 75 candidates (60.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1231124
Fresh055
Picked101
Done011
Total1247131

Merged error: 2.7b

Counts
131 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

6.7b
(* (* y 4.0) (- t (* z z)))
7.2b
(cbrt (- t (* z z)))
7.2b
(cbrt (- t (* z z)))
7.2b
(cbrt (- t (* z z)))

rewrite17.0ms

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:
7.0ms
(* (* y 4.0) (- t (* z z)))
3.0ms
(cbrt (- t (* z z)))
3.0ms
(cbrt (- t (* z z)))
3.0ms
(cbrt (- t (* z z)))

series919.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(* (* y 4.0) (- t (* z z)))
281.0ms
(cbrt (- t (* z z)))
276.0ms
(cbrt (- t (* z z)))
281.0ms
(cbrt (- t (* z z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0345642
11391583
25001569

prune438.0ms

Filtered
93 candidates to 77 candidates (82.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New92193
Fresh055
Picked011
Done011
Total928100

Merged error: 2.7b

Counts
100 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (* y 4.0) (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))))
7.2b
(cbrt (- t (* z z)))
7.2b
(cbrt (- t (* z z)))
7.2b
(cbrt (- t (* z z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
16×pow1 add-exp-log
12×cbrt-prod add-cbrt-cube
10×add-sqr-sqrt associate-*r/
9×flip3-- flip--
8×pow-prod-down prod-exp cbrt-unprod
7×add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×pow1/3 difference-of-squares
2×associate-*l/
1×associate-*r* associate-*l* *-commutative
Counts
4 → 80
Calls
4 calls:
13.0ms
(* (* y 4.0) (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))))
2.0ms
(cbrt (- t (* z z)))
2.0ms
(cbrt (- t (* z z)))
2.0ms
(cbrt (- t (* z z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
239.0ms
(* (* y 4.0) (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))))
306.0ms
(cbrt (- t (* z z)))
310.0ms
(cbrt (- t (* z z)))
278.0ms
(cbrt (- t (* z z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0386796
11295707
25001692

prune307.0ms

Filtered
92 candidates to 75 candidates (81.5%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New92092
Fresh055
Picked011
Done022
Total928100

Merged error: 2.7b

Counts
100 → 8

regimes285.0ms

Accuracy

83.7% (0.5b remaining)

Error of 3.2b against oracle of 2.6b and baseline of 5.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02414
12414

end0.0ms

sample912.0ms

Algorithm
intervals
Results
514.0ms15788×body80valid