Details

Time bar (total: 3.9s)

sample31.0ms

Algorithm
intervals
Results
17.0ms265×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0268
1398
2518
3618
4658
5658

prune2.0ms

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: 17.3b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
4.8b
(/ (* y z) t)
4.9b
(/ (* y b) t)
12.7b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite32.0ms

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:
7.0ms
(+ (+ a 1.0) (/ (* y b) t))
5.0ms
(/ (* y z) t)
4.0ms
(/ (* y b) t)
12.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series154.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (+ a 1.0) (/ (* y b) t))
16.0ms
(/ (* y z) t)
21.0ms
(/ (* y b) t)
90.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify53.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0488947
12162873
25003850

prune314.0ms

Filtered
130 candidates to 90 candidates (69.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New11911130
Fresh000
Picked101
Done000
Total12011131

Merged error: 11.4b

Counts
131 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (fma (/ y t) b (+ a 1.0)))
1.7b
(fma (/ y t) b (+ a 1.0))
4.8b
(/ (* y z) t)
12.4b
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

rewrite25.0ms

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))
4.0ms
(/ (* y z) t)
11.0ms
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

series230.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
32.0ms
(fma (/ y t) b (+ a 1.0))
20.0ms
(/ (* y z) t)
75.0ms
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

simplify52.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0391851
11864745
25002696

prune277.0ms

Filtered
121 candidates to 82 candidates (67.8%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1174121
Fresh2810
Picked011
Done000
Total11913132

Merged error: 11.1b

Counts
132 → 13

localize10.0ms

Local error

Found 3 expressions with local error:

1.7b
(fma (/ y t) b (+ a 1.0))
3.1b
(fma (/ y t) z x)
12.7b
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

rewrite5.0ms

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)))

series457.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(fma (/ y t) b (+ a 1.0))
38.0ms
(fma (/ y t) z x)
387.0ms
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

simplify37.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0126417
1322376
21234376
35002376

prune156.0ms

Filtered
58 candidates to 44 candidates (75.9%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New57158
Fresh11011
Picked011
Done011
Total581371

Merged error: 11.1b

Counts
71 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ y (/ t b)))
4.8b
(/ (* y z) t)
4.9b
(/ y (/ t b))
12.7b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
104×*-un-lft-identity
98×times-frac
60×add-sqr-sqrt add-cube-cbrt
25×distribute-lft-out
21×associate-/r*
16×add-exp-log add-cbrt-cube
9×add-log-exp
8×associate-/l*
7×div-inv
6×cbrt-undiv div-exp
5×flip3-+ associate-/r/ flip-+
4×pow1 expm1-log1p-u fma-def frac-add log1p-expm1-u
3×frac-2neg clear-num sum-log
2×associate-/l/
1×+-commutative associate-+l+ prod-exp cbrt-unprod
Counts
4 → 167
Calls
4 calls:
18.0ms
(+ (+ a 1.0) (/ y (/ t b)))
4.0ms
(/ (* y z) t)
6.0ms
(/ y (/ t b))
21.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

series153.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (+ a 1.0) (/ y (/ t b)))
17.0ms
(/ (* y z) t)
19.0ms
(/ y (/ t b))
91.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

simplify73.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
07111316
130921214
250011193

prune404.0ms

Filtered
179 candidates to 133 candidates (74.3%)
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New1772179
Fresh1910
Picked011
Done022
Total17814192

Merged error: 9.6b

Counts
192 → 14

regimes498.0ms

Accuracy

28.8% (3.2b remaining)

Error of 13.2b against oracle of 10.0b and baseline of 14.4b

bsearch102.0ms

Steps
ItersRangePoint
7
2.0580551385856863e-64
3.7364644029174366e-62
5.987815964183466e-63
8
-1.0120816022826977e-115
-3.607687969514871e-118
-1.0039776561463854e-115

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03723
13723

end0.0ms

sample764.0ms

Algorithm
intervals
Results
485.0ms8269×body80valid

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