Details

Time bar (total: 2.4s)

sample28.0ms

Algorithm
intervals
Results
12.0ms366×body80valid

simplify46.0ms

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)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

1.5b
(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:
0.0ms
(fma (/ y a) (- z t) x)

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(fma (/ y a) (- z t) x)

simplify38.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
04169
19462
227153
3130753
4500153

prune39.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ y a) (- z t)) x)
5.5b
(* (/ y a) (- z t))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity prod-diff
34×add-cube-cbrt
22×distribute-rgt-in associate-+l+ distribute-lft-in
13×associate-*l*
10×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 sub-neg add-log-exp
2×expm1-log1p-u frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative fma-def flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 98
Calls
2 calls:
13.0ms
(+ (* (/ y a) (- z t)) x)
18.0ms
(* (/ y a) (- z t))

series104.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(+ (* (/ y a) (- z t)) x)
52.0ms
(* (/ y a) (- z t))

simplify48.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0477779
11776547
25001533

prune260.0ms

Filtered
104 candidates to 70 candidates (67.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* z (/ y a)) (fma (- t) (/ y a) x))
1.0b
(fma (- t) (/ y a) x)
2.7b
(* z (/ y a))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
11×add-cube-cbrt *-un-lft-identity
10×times-frac
8×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
3×expm1-log1p-u associate-*l* log1p-expm1-u
2×prod-exp cbrt-unprod fma-udef unswap-sqr
1×cbrt-undiv +-commutative associate-+r+ fma-def flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv
Counts
3 → 59
Calls
3 calls:
5.0ms
(+ (* z (/ y a)) (fma (- t) (/ y a) x))
0.0ms
(fma (- t) (/ y a) x)
8.0ms
(* z (/ y a))

series113.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(+ (* z (/ y a)) (fma (- t) (/ y a) x))
43.0ms
(fma (- t) (/ y a) x)
19.0ms
(* z (/ y a))

simplify35.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0271341
11112313
25001297

prune188.0ms

Filtered
68 candidates to 50 candidates (73.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y (/ (- z t) a)) x)
0.0b
(/ (- z t) a)
6.8b
(* y (/ (- z t) a))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- fma-def frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 94
Calls
3 calls:
6.0ms
(+ (* y (/ (- z t) a)) x)
9.0ms
(/ (- z t) a)
15.0ms
(* y (/ (- z t) a))

series127.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ (* y (/ (- z t) a)) x)
26.0ms
(/ (- z t) a)
53.0ms
(* y (/ (- z t) a))

simplify45.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0358522
11426488
25001473

prune234.0ms

Filtered
103 candidates to 73 candidates (70.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes311.0ms

Accuracy

72.1% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.8b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02918
12918

end0.0ms

sample617.0ms

Algorithm
intervals
Results
292.0ms10721×body80valid