Details

Time bar (total: 3.8s)

sample24.0ms

Algorithm
intervals
Results
12.0ms277×body80valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0175
1355
2634
31074
41694
52394
62884
73564
84074
95334
107554
1112564
1213024
1313044
1413044

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: 0.0b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
1.0b
(fma (/ (- y z) (- a z)) t x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
9.0ms
(/ (- y z) (- a z))
1.0ms
(fma (/ (- y z) (- a z)) t x)

series120.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- y z) (- a z))
74.0ms
(fma (/ (- y z) (- a z)) t x)

simplify57.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0258433
1705410
22399410
35001410

prune323.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New67370
Fresh011
Picked011
Done000
Total67572

Merged error: 0.0b

Counts
72 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- y z))
0.4b
(/ 1 (/ (- a z) (- y z)))
1.0b
(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
195×add-sqr-sqrt *-un-lft-identity
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- flip-- div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×pow-flip div-sub fma-udef inv-pow
Counts
3 → 214
Calls
3 calls:
9.0ms
(/ (- a z) (- y z))
15.0ms
(/ 1 (/ (- a z) (- y z)))
1.0ms
(fma (/ 1 (/ (- a z) (- y z))) t x)

series373.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (- a z) (- y z))
132.0ms
(/ 1 (/ (- a z) (- y z)))
195.0ms
(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify70.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
06201891
127641708
250021537

prune325.0ms

Filtered
223 candidates to 106 candidates (47.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2212223
Fresh033
Picked011
Done101
Total2226228

Merged error: 0.0b

Counts
228 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (/ 1 (/ (- a z) (- y z))) t x))
1.0b
(fma (/ 1 (/ (- a z) (- y z))) t x)
1.0b
(fma (/ 1 (/ (- a z) (- y z))) t x)
1.0b
(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod fma-udef
1×pow1/3
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt (fma (/ 1 (/ (- a z) (- y z))) t x))
1.0ms
(fma (/ 1 (/ (- a z) (- y z))) t x)
1.0ms
(fma (/ 1 (/ (- a z) (- y z))) t x)
1.0ms
(fma (/ 1 (/ (- a z) (- y z))) t x)

series841.0ms

Counts
4 → 12
Calls
4 calls:
311.0ms
(cbrt (fma (/ 1 (/ (- a z) (- y z))) t x))
175.0ms
(fma (/ 1 (/ (- a z) (- y z))) t x)
176.0ms
(fma (/ 1 (/ (- a z) (- y z))) t x)
178.0ms
(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify77.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 4 (72.0ms)

IterNodesCost
097395
1204346
2695337
32746329
45002325

prune189.0ms

Filtered
55 candidates to 51 candidates (92.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New55055
Fresh044
Picked011
Done011
Total55661

Merged error: 0.0b

Counts
61 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- a z))
11.3b
(* (/ t (- a z)) (- y z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
50×*-un-lft-identity
34×add-cube-cbrt
31×times-frac
21×associate-*l*
18×prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*r* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times sub-neg associate-*r/ div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 109
Calls
2 calls:
5.0ms
(/ t (- a z))
13.0ms
(* (/ t (- a z)) (- y z))

series178.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ t (- a z))
150.0ms
(* (/ t (- a z)) (- y z))

simplify53.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0472839
11987675
25001669

prune199.0ms

Filtered
115 candidates to 75 candidates (65.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1141115
Fresh033
Picked011
Done022
Total1147121

Merged error: 0b

Counts
121 → 7

regimes256.0ms

Accuracy

74.2% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.4b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02923
12923

end0.0ms

sample577.0ms

Algorithm
intervals
Results
316.0ms8709×body80valid
0.0ms1×body320valid

Profiling

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