Details

Time bar (total: 5.0s)

sample32.0ms

Algorithm
intervals
Results
15.0ms486×body80valid

simplify118.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 9 (100.0ms)

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: 5.1b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* z z))
4.7b
(* (* 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)))

series130.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(- t (* z z))
89.0ms
(* (* y 4.0) (- t (* z z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0257349
11187299
25001292

prune161.0ms

Filtered
60 candidates to 39 candidates (65.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New52860
Fresh000
Picked101
Done000
Total53861

Merged error: 2.7b

Counts
61 → 8

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×distribute-rgt-in distribute-lft-in
15×prod-diff
10×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
7×pow1 add-exp-log add-cbrt-cube
5×sub-neg
4×associate-*r/ add-log-exp
3×fma-neg associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- flip-- log1p-expm1-u
1×diff-log associate-*r* *-commutative difference-of-squares
Counts
2 → 63
Calls
2 calls:
3.0ms
(- t (* z z))
8.0ms
(* y (* 4.0 (- t (* z z))))

series162.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- t (* z z))
119.0ms
(* y (* 4.0 (- t (* z z))))

simplify129.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (122.0ms)

IterNodesCost
0279438
1933380
24280379
35001378

prune156.0ms

Filtered
69 candidates to 38 candidates (55.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New66369
Fresh437
Picked011
Done000
Total70777

Merged error: 2.7b

Counts
77 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.7b
(* (cbrt y) (* 4.0 (- t (* z z))))
4.2b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 4.0 (- t (* z z)))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
80×distribute-rgt-in distribute-lft-in
36×prod-diff
30×pow1 add-exp-log
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
12×sub-neg
10×associate-*r/
9×cbrt-prod
7×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 143
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
9.0ms
(* (cbrt y) (* 4.0 (- t (* z z))))
17.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 4.0 (- t (* z z)))))

series808.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt y)
206.0ms
(cbrt y)
280.0ms
(* (cbrt y) (* 4.0 (- t (* z z))))
121.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 4.0 (- t (* z z)))))

simplify89.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
06411703
123591241
250021103

prune312.0ms

Filtered
155 candidates to 69 candidates (44.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1541155
Fresh145
Picked011
Done011
Total1557162

Merged error: 2.7b

Counts
162 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

4.5b
(* y (* 4.0 (- t (* z z))))
5.1b
(cbrt (* y (* 4.0 (- t (* z z)))))
5.1b
(cbrt (* y (* 4.0 (- t (* z z)))))
5.1b
(cbrt (* y (* 4.0 (- t (* z z)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
20×distribute-rgt-in distribute-lft-in
16×associate-*r/
12×prod-diff
9×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×cbrt-div
4×expm1-log1p-u sub-neg flip3-- flip-- log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 81
Calls
4 calls:
8.0ms
(* y (* 4.0 (- t (* z z))))
6.0ms
(cbrt (* y (* 4.0 (- t (* z z)))))
6.0ms
(cbrt (* y (* 4.0 (- t (* z z)))))
6.0ms
(cbrt (* y (* 4.0 (- t (* z z)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
81.0ms
(* y (* 4.0 (- t (* z z))))
363.0ms
(cbrt (* y (* 4.0 (- t (* z z)))))
343.0ms
(cbrt (* y (* 4.0 (- t (* z z)))))
354.0ms
(cbrt (* y (* 4.0 (- t (* z z)))))

simplify147.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0348731
11079652
24902634
35001634

prune292.0ms

Filtered
93 candidates to 64 candidates (68.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh044
Picked011
Done022
Total937100

Merged error: 2.7b

Counts
100 → 7

regimes281.0ms

Accuracy

85.9% (0.5b remaining)

Error of 2.8b against oracle of 2.3b and baseline of 5.7b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02614
12614

end0.0ms

sample884.0ms

Algorithm
intervals
Results
486.0ms15600×body80valid