Details

Time bar (total: 19.0s)

sample46.0ms

Algorithm
intervals
Results
23.0ms266×body80valid

simplify49.0ms

Counts
1 → 1
Iterations
IterNodes
done65
565
461
351
238
126
015

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
3.5b
(/ (* y b) t)
4.4b
(/ (* y z) t)
8.7b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
26×times-frac
22×distribute-lft-out
20×add-sqr-sqrt add-cube-cbrt
16×add-cbrt-cube add-exp-log
11×associate-/r*
6×associate-/l* add-log-exp
5×cbrt-undiv div-exp
4×expm1-log1p-u pow1 flip3-+ associate-/r/ flip-+ log1p-expm1-u
3×clear-num fma-def frac-2neg div-inv
2×frac-add prod-exp cbrt-unprod associate-/l/
1×+-commutative sum-log
Counts
4 → 112
Calls
4 calls:
7.0ms
(+ x (/ (* y z) t))
7.0ms
(/ (* y b) t)
14.0ms
(/ (* y z) t)
79.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series326.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(+ x (/ (* y z) t))
48.0ms
(/ (* y b) t)
42.0ms
(/ (* y z) t)
177.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.2s

Counts
124 → 124
Iterations
IterNodes
done5001
22302
1495
0187

prune931.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.2b

localize41.0ms

Local error

Found 3 expressions with local error:

2.4b
(fma (/ y t) b (+ a 1.0))
3.5b
(fma (/ y t) z x)
8.7b
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
5×add-cbrt-cube add-exp-log
3×expm1-log1p-u pow1 associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 49
Calls
3 calls:
1.0ms
(fma (/ y t) b (+ a 1.0))
1.0ms
(fma (/ y t) z x)
8.0ms
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

series841.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(fma (/ y t) b (+ a 1.0))
54.0ms
(fma (/ y t) z x)
715.0ms
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

simplify2.2s

Counts
58 → 58
Iterations
IterNodes
done5002
32073
2402
1128
077

prune580.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 8.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (fma (/ y t) b (+ a 1.0)))
2.4b
(fma (/ y t) b (+ a 1.0))
3.5b
(fma (/ y t) z x)
8.8b
(* (fma (/ y t) z x) (/ 1 (fma (/ y t) b (+ a 1.0))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×times-frac add-cube-cbrt
17×add-exp-log
13×associate-*r*
11×add-cbrt-cube
7×pow1
4×expm1-log1p-u div-exp prod-exp log1p-expm1-u add-log-exp
3×associate-/r* associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod fma-udef div-inv
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 91
Calls
4 calls:
17.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
0.0ms
(fma (/ y t) b (+ a 1.0))
0.0ms
(fma (/ y t) z x)
12.0ms
(* (fma (/ y t) z x) (/ 1 (fma (/ y t) b (+ a 1.0))))

series1.0s

Counts
4 → 12
Calls
4 calls:
201.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
60.0ms
(fma (/ y t) b (+ a 1.0))
55.0ms
(fma (/ y t) z x)
733.0ms
(* (fma (/ y t) z x) (/ 1 (fma (/ y t) b (+ a 1.0))))

simplify2.4s

Counts
103 → 103
Iterations
IterNodes
done5000
21758
1236
0114

prune948.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 8.1b

localize50.0ms

Local error

Found 4 expressions with local error:

8.2b
(/ (+ x (/ (* y z) t)) (* (cbrt (+ (+ a 1.0) (/ (* y b) t))) (cbrt (+ (+ a 1.0) (/ (* y b) t)))))
9.1b
(cbrt (+ (+ a 1.0) (/ (* y b) t)))
9.1b
(cbrt (+ (+ a 1.0) (/ (* y b) t)))
9.1b
(cbrt (+ (+ a 1.0) (/ (* y b) t)))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-div
28×*-un-lft-identity
27×flip3-+ flip-+
26×frac-add
24×associate-/r/
16×frac-times
15×cbrt-prod
11×distribute-lft-out
9×add-sqr-sqrt add-exp-log add-cube-cbrt
7×add-cbrt-cube
4×expm1-log1p-u pow1 times-frac associate-*l/ associate-*r/ log1p-expm1-u associate-/l* add-log-exp
3×pow1/3
2×cbrt-undiv div-exp associate-/l/
1×clear-num associate-/r* frac-2neg prod-exp cbrt-unprod div-inv
Counts
4 → 108
Calls
4 calls:
109.0ms
(/ (+ x (/ (* y z) t)) (* (cbrt (+ (+ a 1.0) (/ (* y b) t))) (cbrt (+ (+ a 1.0) (/ (* y b) t)))))
34.0ms
(cbrt (+ (+ a 1.0) (/ (* y b) t)))
26.0ms
(cbrt (+ (+ a 1.0) (/ (* y b) t)))
16.0ms
(cbrt (+ (+ a 1.0) (/ (* y b) t)))

series2.4s

Counts
4 → 12
Calls
4 calls:
1.6s
(/ (+ x (/ (* y z) t)) (* (cbrt (+ (+ a 1.0) (/ (* y b) t))) (cbrt (+ (+ a 1.0) (/ (* y b) t)))))
274.0ms
(cbrt (+ (+ a 1.0) (/ (* y b) t)))
300.0ms
(cbrt (+ (+ a 1.0) (/ (* y b) t)))
246.0ms
(cbrt (+ (+ a 1.0) (/ (* y b) t)))

simplify1.6s

Counts
120 → 120
Iterations
IterNodes
done5000
21831
1577
0236

prune1.1s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 7.5b

regimes1.1s

Accuracy

40% (2.5b remaining)

Error of 13.1b against oracle of 10.6b and baseline of 14.8b

bsearch169.0ms

Steps
ItersRangePoint
11
4.37410721773353e-67
4.340153496163318e-46
2.0154485361311422e-51
7
-7.2997318751107694e-37
-6.459207085648077e-39
-1.0700258926799604e-38

simplify9.0ms

Iterations
IterNodes
done35
235
134
026

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s8286×body80valid