Details

Time bar (total: 4.6s)

sample28.0ms

Algorithm
intervals
Results
14.0ms265×body80valid

simplify12.0ms

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: 16.1b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
6.2b
(/ (* y b) t)
6.4b
(/ (* y z) t)
10.2b
(/ (+ 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)
4.0ms
(/ (* y z) t)
14.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series180.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (+ a 1.0) (/ (* y b) t))
22.0ms
(/ (* y b) t)
20.0ms
(/ (* y z) t)
103.0ms
(/ (+ 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

prune384.0ms

Filtered
130 candidates to 90 candidates (69.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New12010130
Fresh000
Picked101
Done000
Total12110131

Merged error: 9.8b

Counts
131 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (fma (/ y t) b (+ a 1.0)))
2.0b
(fma (/ y t) b (+ a 1.0))
6.4b
(/ (* y z) t)
10.2b
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

rewrite23.0ms

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))
5.0ms
(/ (* y z) t)
11.0ms
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

series251.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
37.0ms
(fma (/ y t) b (+ a 1.0))
18.0ms
(/ (* y z) t)
84.0ms
(* (+ x (/ (* y z) t)) (/ 1 (fma (/ y t) b (+ a 1.0))))

simplify54.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0391851
11864745
25002696

prune330.0ms

Filtered
121 candidates to 82 candidates (67.8%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1174121
Fresh369
Picked011
Done000
Total12011131

Merged error: 9.1b

Counts
131 → 11

localize11.0ms

Local error

Found 3 expressions with local error:

2.0b
(fma (/ y t) b (+ a 1.0))
2.9b
(fma (/ y t) z x)
10.2b
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

rewrite7.0ms

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

series526.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(fma (/ y t) b (+ a 1.0))
39.0ms
(fma (/ y t) z x)
452.0ms
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0126417
1322376
21234376
35002376

prune178.0ms

Filtered
58 candidates to 44 candidates (75.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh099
Picked011
Done011
Total581169

Merged error: 9.1b

Counts
69 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (fma (/ y t) b (+ a 1.0)))
2.0b
(fma (/ y t) b (+ a 1.0))
6.2b
(/ y (/ t z))
10.2b
(* (+ x (/ y (/ t z))) (/ 1 (fma (/ y t) b (+ a 1.0))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
95×times-frac
69×add-sqr-sqrt
65×*-un-lft-identity
62×add-cube-cbrt
22×add-exp-log
16×associate-/r* add-cbrt-cube
13×associate-*r*
7×pow1 div-exp div-inv
6×associate-/l*
5×cbrt-undiv
4×expm1-log1p-u associate-*l* prod-exp log1p-expm1-u add-log-exp
3×unswap-sqr
2×frac-times rec-exp frac-2neg flip3-+ 1-exp associate-*l/ clear-num cbrt-unprod flip-+
1×pow-flip associate-*r/ pow-prod-down associate-/r/ un-div-inv *-commutative fma-udef distribute-lft-out inv-pow
Counts
4 → 158
Calls
4 calls:
3.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
1.0ms
(fma (/ y t) b (+ a 1.0))
6.0ms
(/ y (/ t z))
23.0ms
(* (+ x (/ y (/ t z))) (/ 1 (fma (/ y t) b (+ a 1.0))))

series447.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
37.0ms
(fma (/ y t) b (+ a 1.0))
24.0ms
(/ y (/ t z))
252.0ms
(* (+ x (/ y (/ t z))) (/ 1 (fma (/ y t) b (+ a 1.0))))

simplify93.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
06021218
125801084
250031052

prune481.0ms

Filtered
170 candidates to 122 candidates (71.8%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1691170
Fresh178
Picked011
Done022
Total17011181

Merged error: 9.1b

Counts
181 → 11

regimes440.0ms

Accuracy

19.6% (3.0b remaining)

Error of 13.4b against oracle of 10.4b and baseline of 14.1b

bsearch148.0ms

Steps
ItersRangePoint
8
5.251099164423855e-21
9.631640689387475e-17
2.903098017847971e-20
9
-2.690531995908878e-140
-2.1960764089403497e-148
-1.9265618289860146e-140

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03314
13314

end0.0ms

sample750.0ms

Algorithm
intervals
Results
458.0ms8270×body80valid