Details

Time bar (total: 4.5s)

sample42.0ms

Algorithm
intervals
Results
20.0ms266×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0268
1398
2518
3618
4658
5658

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.2b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
4.1b
(/ (* y b) t)
4.8b
(/ (* y z) t)
11.1b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite35.0ms

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 b) t)
5.0ms
(/ (* y z) t)
14.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series180.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (+ a 1.0) (/ (* y b) t))
24.0ms
(/ (* y b) t)
18.0ms
(/ (* y z) t)
106.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify69.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0488947
12162873
25003850

prune400.0ms

Filtered
130 candidates to 90 candidates (69.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New11713130
Fresh000
Picked101
Done000
Total11813131

Merged error: 11.5b

Counts
131 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ a (fma (/ y t) b 1.0))
1.3b
(fma (/ y t) b 1.0)
4.8b
(/ (* y z) t)
11.1b
(/ (+ x (/ (* y z) t)) (+ a (fma (/ y t) b 1.0)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
19×times-frac
17×add-sqr-sqrt add-cube-cbrt
11×add-exp-log add-cbrt-cube distribute-lft-out
7×associate-/r*
6×add-log-exp
5×associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u
3×cbrt-undiv fma-def flip3-+ div-exp flip-+
2×frac-2neg clear-num associate-/r/ fma-udef div-inv associate-/l/
1×+-commutative associate-+r+ prod-exp sum-log cbrt-unprod
Counts
4 → 93
Calls
4 calls:
7.0ms
(+ a (fma (/ y t) b 1.0))
1.0ms
(fma (/ y t) b 1.0)
5.0ms
(/ (* y z) t)
9.0ms
(/ (+ x (/ (* y z) t)) (+ a (fma (/ y t) b 1.0)))

series190.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ a (fma (/ y t) b 1.0))
25.0ms
(fma (/ y t) b 1.0)
19.0ms
(/ (* y z) t)
112.0ms
(/ (+ x (/ (* y z) t)) (+ a (fma (/ y t) b 1.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0343705
11438650
25001643

prune344.0ms

Filtered
105 candidates to 74 candidates (70.5%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New987105
Fresh6612
Picked101
Done000
Total10513118

Merged error: 10.0b

Counts
118 → 13

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ a (fma (/ y t) b 1.0))
1.3b
(fma (/ y t) b 1.0)
2.9b
(fma (/ y t) z x)
11.1b
(/ (fma (/ y t) z x) (+ a (fma (/ y t) b 1.0)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
14×add-sqr-sqrt add-cube-cbrt
12×times-frac
6×add-exp-log add-cbrt-cube add-log-exp
5×distribute-lft-out
4×pow1 expm1-log1p-u associate-/r* log1p-expm1-u
3×fma-def fma-udef associate-/l*
2×flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative associate-+r+ frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 73
Calls
4 calls:
3.0ms
(+ a (fma (/ y t) b 1.0))
1.0ms
(fma (/ y t) b 1.0)
1.0ms
(fma (/ y t) z x)
9.0ms
(/ (fma (/ y t) z x) (+ a (fma (/ y t) b 1.0)))

series575.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ a (fma (/ y t) b 1.0))
26.0ms
(fma (/ y t) b 1.0)
50.0ms
(fma (/ y t) z x)
465.0ms
(/ (fma (/ y t) z x) (+ a (fma (/ y t) b 1.0)))

simplify78.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0192534
1596494
22353494
35001494

prune286.0ms

Filtered
85 candidates to 62 candidates (72.9%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New81485
Fresh3912
Picked101
Done000
Total851398

Merged error: 10.0b

Counts
98 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (+ a (fma (/ y t) b 1.0)))
1.3b
(fma (/ y t) b 1.0)
2.9b
(fma (/ y t) z x)
10.9b
(* (fma (/ y t) z x) (/ 1 (+ a (fma (/ y t) b 1.0))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
29×add-sqr-sqrt
26×times-frac
22×add-cube-cbrt
18×associate-*r*
17×add-exp-log
11×add-cbrt-cube
7×pow1 distribute-lft-out
4×expm1-log1p-u div-exp prod-exp associate-/r* associate-/r/ log1p-expm1-u add-log-exp
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ fma-udef div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 102
Calls
4 calls:
6.0ms
(/ 1 (+ a (fma (/ y t) b 1.0)))
4.0ms
(fma (/ y t) b 1.0)
1.0ms
(fma (/ y t) z x)
10.0ms
(* (fma (/ y t) z x) (/ 1 (+ a (fma (/ y t) b 1.0))))

series559.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(/ 1 (+ a (fma (/ y t) b 1.0)))
23.0ms
(fma (/ y t) b 1.0)
44.0ms
(fma (/ y t) z x)
432.0ms
(* (fma (/ y t) z x) (/ 1 (+ a (fma (/ y t) b 1.0))))

simplify44.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0275744
11132655
25001617

prune290.0ms

Filtered
114 candidates to 69 candidates (60.5%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1113114
Fresh4812
Picked011
Done000
Total11512127

Merged error: 10.0b

Counts
127 → 12

regimes417.0ms

Accuracy

12.6% (3.2b remaining)

Error of 14.0b against oracle of 10.8b and baseline of 14.5b

bsearch105.0ms

Steps
ItersRangePoint
7
1.0239871384498487e+242
6.3890989378008684e+243
1.0363893122715825e+242
8
-1.567702111715407e-37
-1.0077576917524617e-41
-1.5421510792178333e-37

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04023
14023

end0.0ms

sample655.0ms

Algorithm
intervals
Results
368.0ms8293×body80valid