Details

Time bar (total: 4.0s)

sample23.0ms

Algorithm
intervals
Results
9.0ms354×body80valid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0154
1264
2493
3973
41553
52023
62413
73043
84363
95923
109903
1111253
1212603
1312603

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

2.2b
(fma (/ y a) (- z t) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (/ y a) (- z t) x)

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(fma (/ y a) (- z t) x)

simplify43.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
04169
19462
227153
3130753
4500153

prune32.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New12113
Fresh011
Picked011
Done000
Total12315

Merged error: 0.1b

Counts
15 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
6.5b
(/ (* y (- z t)) a)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×expm1-log1p-u fma-def times-frac associate-*l* associate-/r* log1p-expm1-u
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 88
Calls
3 calls:
4.0ms
(+ x (/ (* y (- z t)) a))
7.0ms
(* y (- z t))
8.0ms
(/ (* y (- z t)) a)

series132.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(+ x (/ (* y (- z t)) a))
34.0ms
(* y (- z t))
46.0ms
(/ (* y (- z t)) a)

simplify47.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0384600
11632428
25001420

prune188.0ms

Filtered
97 candidates to 57 candidates (58.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New91697
Fresh101
Picked011
Done011
Total928100

Merged error: 0b

Counts
100 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
5.1b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 112
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
19.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series627.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt a)
177.0ms
(cbrt a)
185.0ms
(cbrt a)
90.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify61.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0484948
12620771
25001736

prune366.0ms

Filtered
124 candidates to 96 candidates (77.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1231124
Fresh145
Picked011
Done022
Total1248132

Merged error: 0b

Counts
132 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

5.1b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))
7.5b
(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))
7.5b
(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))
7.5b
(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
40×times-frac
35×*-un-lft-identity
34×associate-*r*
25×add-exp-log
23×add-cube-cbrt
20×cbrt-prod
18×add-cbrt-cube
9×cbrt-div
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×expm1-log1p-u frac-times associate-*r/ associate-*l/ log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 115
Calls
4 calls:
22.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))
11.0ms
(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))
11.0ms
(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))
11.0ms
(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))

series461.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))
126.0ms
(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))
121.0ms
(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))
122.0ms
(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))

simplify64.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05411380
126551226
250011167

prune640.0ms

Filtered
127 candidates to 105 candidates (82.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1261127
Fresh134
Picked011
Done123
Total1287135

Merged error: 0b

Counts
135 → 7

regimes366.0ms

Accuracy

81.6% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.2b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02315
12315

end0.0ms

sample665.0ms

Algorithm
intervals
Results
322.0ms10619×body80valid