Details

Time bar (total: 6.7s)

sample28.0ms

Algorithm
intervals
Results
10.0ms271×body80valid

simplify17.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0268
1398
2518
3618
4658
5658
done658

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
6.5b
(/ (* y z) t)
6.7b
(/ (* y b) t)
12.3b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite130.0ms

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:
34.0ms
(+ (+ a 1.0) (/ (* y b) t))
10.0ms
(/ (* y z) t)
10.0ms
(/ (* y b) t)
72.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series217.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ (+ a 1.0) (/ (* y b) t))
22.0ms
(/ (* y z) t)
26.0ms
(/ (* y b) t)
131.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify69.0ms

Counts
130 → 130
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0488947
12162873
25003850
done5003850

prune671.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 12.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ a 1.0) (/ (* y b) t))
3.4b
(fma (/ y t) z x)
6.7b
(/ (* y b) t)
12.3b
(/ (fma (/ y t) z x) (+ (+ a 1.0) (/ (* y b) t)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
18×times-frac
17×add-sqr-sqrt add-cube-cbrt
16×distribute-lft-out
11×add-exp-log add-cbrt-cube
9×add-log-exp
8×associate-/r*
4×pow1 expm1-log1p-u fma-def flip3-+ frac-add associate-/r/ flip-+ log1p-expm1-u associate-/l*
3×cbrt-undiv div-exp sum-log
2×frac-2neg clear-num div-inv
1×+-commutative associate-+l+ prod-exp cbrt-unprod fma-udef
Counts
4 → 97
Calls
4 calls:
33.0ms
(+ (+ a 1.0) (/ (* y b) t))
0.0ms
(fma (/ y t) z x)
10.0ms
(/ (* y b) t)
42.0ms
(/ (fma (/ y t) z x) (+ (+ a 1.0) (/ (* y b) t)))

series609.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ (+ a 1.0) (/ (* y b) t))
49.0ms
(fma (/ y t) z x)
25.0ms
(/ (* y b) t)
497.0ms
(/ (fma (/ y t) z x) (+ (+ a 1.0) (/ (* y b) t)))

simplify54.0ms

Counts
109 → 109
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0360749
11381690
25001678
done5001678

prune361.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 11.5b

localize18.0ms

Local error

Found 3 expressions with local error:

1.2b
(fma (/ y t) b (+ a 1.0))
3.4b
(fma (/ y t) z x)
12.3b
(/ (fma (/ y t) z x) (* 1 (fma (/ y t) b (+ a 1.0))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log
8×add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×pow1 expm1-log1p-u times-frac div-exp log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv prod-exp fma-udef
1×frac-2neg 1-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
3 → 44
Calls
3 calls:
0.0ms
(fma (/ y t) b (+ a 1.0))
0.0ms
(fma (/ y t) z x)
8.0ms
(/ (fma (/ y t) z x) (* 1 (fma (/ y t) b (+ a 1.0))))

series574.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(fma (/ y t) b (+ a 1.0))
44.0ms
(fma (/ y t) z x)
487.0ms
(/ (fma (/ y t) z x) (* 1 (fma (/ y t) b (+ a 1.0))))

simplify66.0ms

Counts
53 → 53
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
0157338
1488280
21753279
35001278
done5001278

prune185.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 11.5b

localize17.0ms

Local error

Found 4 expressions with local error:

6.4b
(cbrt (/ (fma (/ y t) z x) (* 1 (fma (/ y t) b (+ a 1.0)))))
12.3b
(/ (fma (/ y t) z x) (* 1 (fma (/ y t) b (+ a 1.0))))
12.3b
(/ (fma (/ y t) z x) (* 1 (fma (/ y t) b (+ a 1.0))))
12.3b
(/ (fma (/ y t) z x) (* 1 (fma (/ y t) b (+ a 1.0))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
19×add-cbrt-cube
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
9×div-exp associate-/l*
7×cbrt-prod
6×cbrt-undiv prod-exp
4×pow1 expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×frac-2neg 1-exp clear-num associate-/r* cbrt-unprod
1×cbrt-div pow1/3
Counts
4 → 90
Calls
4 calls:
8.0ms
(cbrt (/ (fma (/ y t) z x) (* 1 (fma (/ y t) b (+ a 1.0)))))
8.0ms
(/ (fma (/ y t) z x) (* 1 (fma (/ y t) b (+ a 1.0))))
8.0ms
(/ (fma (/ y t) z x) (* 1 (fma (/ y t) b (+ a 1.0))))
8.0ms
(/ (fma (/ y t) z x) (* 1 (fma (/ y t) b (+ a 1.0))))

series1.8s

Counts
4 → 12
Calls
4 calls:
447.0ms
(cbrt (/ (fma (/ y t) z x) (* 1 (fma (/ y t) b (+ a 1.0)))))
465.0ms
(/ (fma (/ y t) z x) (* 1 (fma (/ y t) b (+ a 1.0))))
447.0ms
(/ (fma (/ y t) z x) (* 1 (fma (/ y t) b (+ a 1.0))))
454.0ms
(/ (fma (/ y t) z x) (* 1 (fma (/ y t) b (+ a 1.0))))

simplify77.0ms

Counts
102 → 102
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0205936
1597783
22035770
35001750
done5001750

prune397.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 11.5b

regimes368.0ms

Accuracy

18% (3.0b remaining)

Error of 14.0b against oracle of 11.0b and baseline of 14.7b

bsearch115.0ms

Steps
ItersRangePoint
7
4.720911272814693e-55
7.952264266372687e-53
6.370790812859239e-53
10
-5.499829542090026e-48
-8.615187806260869e-63
-4.206477194529533e-59

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03715
13915
23915
done3915

end0.0ms

sample724.0ms

Algorithm
intervals
Results
338.0ms8321×body80valid