Details

Time bar (total: 4.2s)

sample25.0ms

Algorithm
intervals
Results
11.0ms266×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0268
1398
2518
3618
4658
5658

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
4.3b
(/ (* y z) t)
4.7b
(/ (* y b) t)
8.6b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
26×times-frac
25×distribute-lft-out
20×add-sqr-sqrt add-cube-cbrt
16×add-exp-log add-cbrt-cube
11×associate-/r*
9×add-log-exp
6×associate-/l*
5×cbrt-undiv flip3-+ div-exp flip-+
4×pow1 expm1-log1p-u fma-def frac-add associate-/r/ log1p-expm1-u
3×frac-2neg clear-num sum-log div-inv
2×prod-exp cbrt-unprod associate-/l/
1×+-commutative associate-+l+
Counts
4 → 118
Calls
4 calls:
8.0ms
(+ (+ a 1.0) (/ (* y b) t))
5.0ms
(/ (* y z) t)
5.0ms
(/ (* y b) t)
17.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series186.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (+ a 1.0) (/ (* y b) t))
19.0ms
(/ (* y z) t)
21.0ms
(/ (* y b) t)
111.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify58.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0488947
12162873
25003850

prune395.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ 1 (fma (/ y t) b (+ a 1.0)))
1.4b
(fma (/ y t) b (+ a 1.0))
4.3b
(/ (* y z) t)
8.0b
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×*-un-lft-identity
23×times-frac
22×add-exp-log add-cube-cbrt
16×add-cbrt-cube
13×associate-*r*
7×pow1
6×div-exp associate-/r*
5×prod-exp
4×cbrt-undiv expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp
3×cbrt-unprod div-inv unswap-sqr
2×frac-times rec-exp frac-2neg flip3-+ 1-exp associate-*l/ clear-num flip-+
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative fma-udef distribute-lft-out inv-pow
Counts
4 → 109
Calls
4 calls:
3.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
1.0ms
(fma (/ y t) b (+ a 1.0))
5.0ms
(/ (* y z) t)
11.0ms
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

series267.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
36.0ms
(fma (/ y t) b (+ a 1.0))
19.0ms
(/ (* y z) t)
87.0ms
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

simplify54.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0391851
11864745
25002696

prune363.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.9b

localize13.0ms

Local error

Found 3 expressions with local error:

1.4b
(fma (/ y t) b (+ a 1.0))
2.0b
(fma (/ y t) z x)
8.6b
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 49
Calls
3 calls:
1.0ms
(fma (/ y t) b (+ a 1.0))
1.0ms
(fma (/ y t) z x)
3.0ms
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

series534.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(fma (/ y t) b (+ a 1.0))
41.0ms
(fma (/ y t) z x)
451.0ms
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0126417
1322376
21234376
35002376

prune223.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 6.9b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ 1 (/ t (* y b)))
4.3b
(/ (* y z) t)
4.4b
(/ t (* y b))
8.6b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
67×times-frac
38×distribute-lft-out
37×add-exp-log add-sqr-sqrt add-cube-cbrt
25×add-cbrt-cube
18×associate-/r* div-inv
17×div-exp
11×associate-/l*
10×cbrt-undiv
5×pow1 prod-exp associate-/r/
4×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
3×rec-exp flip3-+ 1-exp cbrt-unprod flip-+
2×frac-add associate-/l/
1×pow-flip inv-pow
Counts
4 → 163
Calls
4 calls:
7.0ms
(/ 1 (/ t (* y b)))
5.0ms
(/ (* y z) t)
5.0ms
(/ t (* y b))
19.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

series180.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ 1 (/ t (* y b)))
24.0ms
(/ (* y z) t)
21.0ms
(/ t (* y b))
109.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

simplify78.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06111300
128561134
250011105

prune402.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 6.9b

regimes491.0ms

Accuracy

-12.8% (4.2b remaining)

Error of 14.3b against oracle of 10.1b and baseline of 13.8b

bsearch111.0ms

Steps
ItersRangePoint
9
-2.7448562114339326e-235
-8.596414661356903e-241
-8.629618781889861e-237
6
-3.485389792195477e+68
-2.8207645504131644e+67
-1.2271249360064273e+68

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04324
14324

end0.0ms

sample635.0ms

Algorithm
intervals
Results
357.0ms8312×body80valid