Details

Time bar (total: 4.1s)

sample19.0ms

Algorithm
intervals
Results
8.0ms331×body80valid

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0144
1284
2513
3903
41503
52143
63083
74473
85503
98653
1012313
1117253
1227283
1344663
1450013

prune6.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) t)
4.2b
(fma (/ (- y x) t) z x)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
6.0ms
(/ (- y x) t)
1.0ms
(fma (/ (- y x) t) z x)

series55.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (- y x) t)
31.0ms
(fma (/ (- y x) t) z x)

simplify42.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0194271
1528254
21881245
35002245

prune122.0ms

Filtered
56 candidates to 41 candidates (73.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New51556
Fresh011
Picked011
Done000
Total51758

Merged error: 0.0b

Counts
58 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

4.2b
(fma (* (* (cbrt (/ (- y x) t)) (cbrt (/ (- y x) t))) (cbrt (/ (- y x) t))) z x)
8.8b
(cbrt (/ (- y x) t))
8.8b
(cbrt (/ (- y x) t))
8.8b
(cbrt (/ (- y x) t))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
57×cbrt-prod
49×add-sqr-sqrt *-un-lft-identity
45×times-frac
31×add-cube-cbrt
9×distribute-lft-out-- difference-of-squares
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-div pow1/3 div-inv
1×fma-udef
Counts
4 → 100
Calls
4 calls:
1.0ms
(fma (* (* (cbrt (/ (- y x) t)) (cbrt (/ (- y x) t))) (cbrt (/ (- y x) t))) z x)
4.0ms
(cbrt (/ (- y x) t))
4.0ms
(cbrt (/ (- y x) t))
4.0ms
(cbrt (/ (- y x) t))

series433.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(fma (* (* (cbrt (/ (- y x) t)) (cbrt (/ (- y x) t))) (cbrt (/ (- y x) t))) z x)
133.0ms
(cbrt (/ (- y x) t))
128.0ms
(cbrt (/ (- y x) t))
129.0ms
(cbrt (/ (- y x) t))

simplify61.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
02541002
1564956
21984939
35001921

prune382.0ms

Filtered
112 candidates to 92 candidates (82.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1093112
Fresh145
Picked101
Done011
Total1118119

Merged error: 0.0b

Counts
119 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
4.2b
(fma (* (* (cbrt (/ (- y x) t)) (cbrt (/ (- y x) t))) (/ (cbrt (- y x)) (cbrt t))) z x)
8.8b
(cbrt (/ (- y x) t))
8.8b
(cbrt (/ (- y x) t))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
41×cbrt-prod
35×add-sqr-sqrt *-un-lft-identity
30×times-frac
23×add-cube-cbrt
6×distribute-lft-out-- difference-of-squares
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
2×cbrt-div div-inv
1×fma-udef
Counts
4 → 83
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(fma (* (* (cbrt (/ (- y x) t)) (cbrt (/ (- y x) t))) (/ (cbrt (- y x)) (cbrt t))) z x)
4.0ms
(cbrt (/ (- y x) t))
4.0ms
(cbrt (/ (- y x) t))

series489.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(cbrt t)
59.0ms
(fma (* (* (cbrt (/ (- y x) t)) (cbrt (/ (- y x) t))) (/ (cbrt (- y x)) (cbrt t))) z x)
131.0ms
(cbrt (/ (- y x) t))
131.0ms
(cbrt (/ (- y x) t))

simplify83.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0310790
1760746
22987731
35001717

prune367.0ms

Filtered
95 candidates to 79 candidates (83.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New93295
Fresh246
Picked101
Done011
Total967103

Merged error: 0.0b

Counts
103 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
5.4b
(* (* (* (cbrt (/ (- y x) t)) (cbrt (/ (- y x) t))) (/ (cbrt (- y x)) (cbrt t))) z)
8.8b
(cbrt (/ (- y x) t))
8.8b
(cbrt (/ (- y x) t))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
41×cbrt-prod
36×add-sqr-sqrt *-un-lft-identity
30×times-frac
24×add-cube-cbrt
22×add-exp-log
14×add-cbrt-cube
13×pow1
12×associate-*l/
11×prod-exp cbrt-unprod
10×cbrt-div
6×pow-prod-down distribute-lft-out-- difference-of-squares
5×frac-times
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ associate-*r*
2×cbrt-undiv div-exp div-inv
1×associate-*l* *-commutative
Counts
4 → 107
Calls
4 calls:
1.0ms
(cbrt t)
29.0ms
(* (* (* (cbrt (/ (- y x) t)) (cbrt (/ (- y x) t))) (/ (cbrt (- y x)) (cbrt t))) z)
4.0ms
(cbrt (/ (- y x) t))
4.0ms
(cbrt (/ (- y x) t))

series557.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt t)
85.0ms
(* (* (* (cbrt (/ (- y x) t)) (cbrt (/ (- y x) t))) (/ (cbrt (- y x)) (cbrt t))) z)
137.0ms
(cbrt (/ (- y x) t))
164.0ms
(cbrt (/ (- y x) t))

simplify58.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05011144
118421009
25001940

prune395.0ms

Filtered
119 candidates to 90 candidates (75.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1172119
Fresh235
Picked011
Done011
Total1197126

Merged error: 0.0b

Counts
126 → 7

regimes155.0ms

Accuracy

65.4% (2.2b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 6.5b

bsearch68.0ms

Steps
ItersRangePoint
8
6.367439988554813e-146
4.588023145402611e-143
2.779801418179183e-143
10
-1.348847075335251e-79
-5.6767130417445485e-92
-1.3352907999060601e-79

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0259
1259

end0.0ms

sample540.0ms

Algorithm
intervals
Results
272.0ms10685×body80valid