Details

Time bar (total: 3.4s)

sample24.0ms

Algorithm
intervals
Results
12.0ms279×body80valid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

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

prune8.0ms

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

rewrite11.0ms

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:
8.0ms
(/ (- y z) (- a z))
1.0ms
(fma (/ (- y z) (- a z)) t x)

series128.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- y z) (- a z))
79.0ms
(fma (/ (- y z) (- a z)) t x)

simplify63.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0258433
1705410
22399410
35001410

prune169.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New66470
Fresh011
Picked011
Done000
Total66672

Merged error: 0.0b

Counts
72 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- y z))
0.5b
(/ 1 (/ (- a z) (- y z)))
1.0b
(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite36.0ms

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)

series366.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (- a z) (- y z))
135.0ms
(/ 1 (/ (- a z) (- y z)))
183.0ms
(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify76.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06201891
127641708
250021537

prune337.0ms

Filtered
223 candidates to 106 candidates (47.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2221223
Fresh134
Picked011
Done101
Total2245229

Merged error: 0.0b

Counts
229 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a z))
0.2b
(* (- y z) (/ 1 (- a z)))
1.0b
(fma (* (- y z) (/ 1 (- a z))) t x)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-*l* associate-/r*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 105
Calls
3 calls:
6.0ms
(/ 1 (- a z))
13.0ms
(* (- y z) (/ 1 (- a z)))
1.0ms
(fma (* (- y z) (/ 1 (- a z))) t x)

series166.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ 1 (- a z))
49.0ms
(* (- y z) (/ 1 (- a z)))
79.0ms
(fma (* (- y z) (/ 1 (- a z))) t x)

simplify45.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0333585
11448510
25002468

prune216.0ms

Filtered
114 candidates to 72 candidates (63.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh033
Picked011
Done011
Total1145119

Merged error: 0.0b

Counts
119 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ t (- a z)) (- y z)) x)
0.0b
(/ t (- a z))
10.0b
(* (/ t (- a z)) (- y z))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
63×*-un-lft-identity
47×add-cube-cbrt
36×prod-diff
31×times-frac
22×distribute-rgt-in associate-+l+ distribute-lft-in
21×associate-*l*
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*r* associate-/r* add-log-exp
4×sub-neg flip3-- associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l*
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 145
Calls
3 calls:
16.0ms
(+ (* (/ t (- a z)) (- y z)) x)
5.0ms
(/ t (- a z))
13.0ms
(* (/ t (- a z)) (- y z))

series392.0ms

Counts
3 → 9
Calls
3 calls:
212.0ms
(+ (* (/ t (- a z)) (- y z)) x)
32.0ms
(/ t (- a z))
148.0ms
(* (/ t (- a z)) (- y z))

simplify67.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05671124
12257891
25001883

prune336.0ms

Filtered
154 candidates to 109 candidates (70.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1522154
Fresh022
Picked011
Done022
Total1527159

Merged error: 0b

Counts
159 → 7

regimes230.0ms

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample576.0ms

Algorithm
intervals
Results
315.0ms8731×body80valid
0.0ms1×body320valid

Profiling

Loading profile data...