Details

Time bar (total: 5.0s)

sample29.0ms

Algorithm
intervals
Results
14.0ms270×body80valid

simplify16.0ms

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: 13.6b

Counts
2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
5.7b
(/ (* y z) t)
6.4b
(/ (* y b) t)
9.5b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite36.0ms

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)
15.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series193.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ (+ a 1.0) (/ (* y b) t))
20.0ms
(/ (* y z) t)
22.0ms
(/ (* y b) t)
114.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify66.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0488947
12162873
25003850

prune387.0ms

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: 9.1b

Counts
131 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ a (fma (/ y t) b 1.0))
1.8b
(fma (/ y t) b 1.0)
5.7b
(/ (* y z) t)
9.5b
(/ (+ x (/ (* y z) t)) (+ a (fma (/ y t) b 1.0)))

rewrite21.0ms

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:
3.0ms
(+ a (fma (/ y t) b 1.0))
1.0ms
(fma (/ y t) b 1.0)
5.0ms
(/ (* y z) t)
10.0ms
(/ (+ x (/ (* y z) t)) (+ a (fma (/ y t) b 1.0)))

series192.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ a (fma (/ y t) b 1.0))
30.0ms
(fma (/ y t) b 1.0)
19.0ms
(/ (* y z) t)
111.0ms
(/ (+ x (/ (* y z) t)) (+ a (fma (/ y t) b 1.0)))

simplify51.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0343705
11438650
25001643

prune329.0ms

Filtered
105 candidates to 74 candidates (70.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1005105
Fresh4610
Picked101
Done000
Total10511116

Merged error: 8.3b

Counts
116 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ a (fma (/ y t) b 1.0))
1.8b
(fma (/ y t) b 1.0)
3.0b
(fma (/ y t) z x)
9.5b
(/ (fma (/ y t) z x) (+ a (fma (/ y t) b 1.0)))

rewrite12.0ms

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)
6.0ms
(/ (fma (/ y t) z x) (+ a (fma (/ y t) b 1.0)))

series563.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ a (fma (/ y t) b 1.0))
25.0ms
(fma (/ y t) b 1.0)
48.0ms
(fma (/ y t) z x)
459.0ms
(/ (fma (/ y t) z x) (+ a (fma (/ y t) b 1.0)))

simplify74.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0192534
1596494
22353494
35001494

prune266.0ms

Filtered
85 candidates to 63 candidates (74.1%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New79685
Fresh4610
Picked011
Done000
Total831396

Merged error: 8.3b

Counts
96 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (+ a (fma (/ y t) b 1.0)) (fma (/ y t) z x)))
1.8b
(fma (/ y t) b 1.0)
3.0b
(fma (/ y t) z x)
9.5b
(/ (+ a (fma (/ y t) b 1.0)) (fma (/ y t) z x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
17×add-exp-log
16×distribute-lft-out
11×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
5×pow1
4×cbrt-undiv expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num fma-udef associate-/l/
1×pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
4 → 145
Calls
4 calls:
8.0ms
(/ 1 (/ (+ a (fma (/ y t) b 1.0)) (fma (/ y t) z x)))
1.0ms
(fma (/ y t) b 1.0)
1.0ms
(fma (/ y t) z x)
6.0ms
(/ (+ a (fma (/ y t) b 1.0)) (fma (/ y t) z x))

series626.0ms

Counts
4 → 12
Calls
4 calls:
378.0ms
(/ 1 (/ (+ a (fma (/ y t) b 1.0)) (fma (/ y t) z x)))
25.0ms
(fma (/ y t) b 1.0)
49.0ms
(fma (/ y t) z x)
173.0ms
(/ (+ a (fma (/ y t) b 1.0)) (fma (/ y t) z x))

simplify64.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
03931630
117901482
250011392

prune314.0ms

Filtered
157 candidates to 82 candidates (52.2%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1552157
Fresh11011
Picked011
Done011
Total15614170

Merged error: 8.3b

Counts
170 → 14

regimes767.0ms

Accuracy

39.1% (2.3b remaining)

Error of 12.8b against oracle of 10.5b and baseline of 14.2b

bsearch127.0ms

Steps
ItersRangePoint
8
1.0371144334030554e-38
2.917919166930324e-36
6.950306213521686e-37
8
-3.4040993375076866e-43
-1.534273814205073e-46
-1.657598085388956e-44

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03915
13915

end0.0ms

sample738.0ms

Algorithm
intervals
Results
447.0ms8312×body80valid