Details

Time bar (total: 4.5s)

sample32.0ms

Algorithm
intervals
Results
19.0ms264×body80valid

simplify11.0ms

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: 16.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
5.4b
(/ (* y b) t)
5.9b
(/ (* y z) t)
10.3b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite62.0ms

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:
17.0ms
(+ (+ a 1.0) (/ (* y b) t))
3.0ms
(/ (* y b) t)
3.0ms
(/ (* y z) t)
35.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series167.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ (+ a 1.0) (/ (* y b) t))
19.0ms
(/ (* y b) t)
18.0ms
(/ (* y z) t)
102.0ms
(/ (+ 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

prune375.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 10.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (fma (/ y t) b (+ a 1.0)))
1.0b
(fma (/ y t) b (+ a 1.0))
5.9b
(/ (* y z) t)
10.2b
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

rewrite31.0ms

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:
2.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
0.0ms
(fma (/ y t) b (+ a 1.0))
3.0ms
(/ (* y z) t)
22.0ms
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

series239.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
33.0ms
(fma (/ y t) b (+ a 1.0))
17.0ms
(/ (* y z) t)
80.0ms
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

simplify53.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0391851
11864745
25002696

prune353.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.2b

localize11.0ms

Local error

Found 3 expressions with local error:

1.0b
(fma (/ y t) b (+ a 1.0))
2.4b
(fma (/ y t) z x)
10.3b
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

rewrite4.0ms

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) b (+ a 1.0))
0.0ms
(fma (/ y t) z x)
2.0ms
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

series481.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(fma (/ y t) b (+ a 1.0))
37.0ms
(fma (/ y t) z x)
406.0ms
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

simplify41.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0126417
1322376
21234376
35002376

prune189.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 9.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (fma (/ y t) b (+ a 1.0)))
1.0b
(fma (/ y t) b (+ a 1.0))
2.4b
(fma (/ y t) z x)
10.2b
(* (fma (/ y t) z x) (/ 1 (fma (/ y t) b (+ a 1.0))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
13×associate-*r*
11×add-cbrt-cube
7×pow1
4×expm1-log1p-u div-exp prod-exp log1p-expm1-u add-log-exp
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod fma-udef div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 91
Calls
4 calls:
4.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
0.0ms
(fma (/ y t) b (+ a 1.0))
1.0ms
(fma (/ y t) z x)
14.0ms
(* (fma (/ y t) z x) (/ 1 (fma (/ y t) b (+ a 1.0))))

series638.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
34.0ms
(fma (/ y t) b (+ a 1.0))
42.0ms
(fma (/ y t) z x)
431.0ms
(* (fma (/ y t) z x) (/ 1 (fma (/ y t) b (+ a 1.0))))

simplify75.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0229705
1873610
24531580
35002580

prune262.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 9.2b

regimes373.0ms

Accuracy

34.1% (2.3b remaining)

Error of 12.8b against oracle of 10.4b and baseline of 14.0b

bsearch127.0ms

Steps
ItersRangePoint
9
2.564984680638528e-126
1.0545804966554825e-118
1.1605883559318448e-119
9
-8.658043134854251e-134
-2.244078891721229e-141
-8.736755721417132e-135

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03815
13815

end0.0ms

sample895.0ms

Algorithm
intervals
Results
614.0ms8270×body80valid