Details

Time bar (total: 4.3s)

sample27.0ms

Algorithm
intervals
Results
10.0ms267×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: 14.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
6.9b
(/ (* y z) t)
7.2b
(/ (* y b) t)
8.1b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite122.0ms

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:
31.0ms
(+ (+ a 1.0) (/ (* y b) t))
11.0ms
(/ (* y z) t)
10.0ms
(/ (* y b) t)
66.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series153.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ (+ a 1.0) (/ (* y b) t))
17.0ms
(/ (* y z) t)
18.0ms
(/ (* y b) t)
90.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify64.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0488947
12162873
25003850

prune367.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (fma (/ y t) b (+ a 1.0)))
2.6b
(fma (/ y t) b (+ a 1.0))
6.9b
(/ (* y z) t)
8.0b
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

rewrite56.0ms

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:
8.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
0.0ms
(fma (/ y t) b (+ a 1.0))
9.0ms
(/ (* y z) t)
35.0ms
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

series234.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
31.0ms
(fma (/ y t) b (+ a 1.0))
20.0ms
(/ (* y z) t)
79.0ms
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

simplify57.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0391851
11864745
25002696

prune351.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 6.8b

localize12.0ms

Local error

Found 3 expressions with local error:

2.2b
(fma (/ y t) z x)
2.6b
(fma (/ y t) b (+ a 1.0))
8.1b
(/ (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:
0.0ms
(fma (/ y t) z x)
0.0ms
(fma (/ y t) b (+ a 1.0))
5.0ms
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

series455.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(fma (/ y t) z x)
33.0ms
(fma (/ y t) b (+ a 1.0))
385.0ms
(/ (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

prune210.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 6.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (cbrt 1) (fma (/ y t) b (+ a 1.0)))
2.2b
(fma (/ y t) z x)
2.6b
(fma (/ y t) b (+ a 1.0))
8.0b
(* (fma (/ y t) z x) (/ (cbrt 1) (fma (/ y t) b (+ a 1.0))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×times-frac
34×*-un-lft-identity
33×add-cube-cbrt
23×cbrt-prod
22×associate-*r*
11×add-exp-log
9×add-cbrt-cube
6×pow1 associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod fma-udef div-inv
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 106
Calls
4 calls:
8.0ms
(/ (cbrt 1) (fma (/ y t) b (+ a 1.0)))
0.0ms
(fma (/ y t) z x)
0.0ms
(fma (/ y t) b (+ a 1.0))
17.0ms
(* (fma (/ y t) z x) (/ (cbrt 1) (fma (/ y t) b (+ a 1.0))))

series558.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(/ (cbrt 1) (fma (/ y t) b (+ a 1.0)))
35.0ms
(fma (/ y t) z x)
32.0ms
(fma (/ y t) b (+ a 1.0))
387.0ms
(* (fma (/ y t) z x) (/ (cbrt 1) (fma (/ y t) b (+ a 1.0))))

simplify51.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
02711019
11124940
25001928

prune412.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 6.8b

regimes336.0ms

Accuracy

0% (3.5b remaining)

Error of 14.2b against oracle of 10.7b and baseline of 14.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186
1206
2206

end0.0ms

sample709.0ms

Algorithm
intervals
Results
324.0ms8275×body80valid