Details

Time bar (total: 34.3s)

sample159.0ms

Algorithm
intervals
Results
54.0ms256×body80valid
32.0ms260×body80nan

simplify2.9s

Counts
1 → 1
Iterations
IterNodes
done5003
41440
3365
2102
150
028

prune83.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize115.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ a t))
0.2b
(/ (/ 2.0 t) 3.0)
0.6b
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
6.3b
(/ (sqrt (+ a t)) (/ t z))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
238×times-frac
161×*-un-lft-identity
134×add-sqr-sqrt
131×add-cube-cbrt
60×sqrt-prod
20×associate-/l*
16×associate-/r*
15×distribute-lft-out
14×add-cbrt-cube add-exp-log div-inv
6×cbrt-undiv div-exp
5×pow1
4×expm1-log1p-u sqrt-div insert-posit16 log1p-expm1-u add-log-exp
3×associate-/l/
2×clear-num frac-2neg flip3-+ flip-+
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/ fma-udef hypot-def
Counts
4 → 235
Calls
4 calls:
14.0ms
(sqrt (+ a t))
15.0ms
(/ (/ 2.0 t) 3.0)
1.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
60.0ms
(/ (sqrt (+ a t)) (/ t z))

series522.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(sqrt (+ a t))
39.0ms
(/ (/ 2.0 t) 3.0)
313.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
116.0ms
(/ (sqrt (+ a t)) (/ t z))

simplify4.8s

Counts
247 → 247
Iterations
IterNodes
done5000
22941
11088
0449

prune5.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize149.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (* (sqrt (+ t a)) (* (cbrt z) (cbrt z))) (/ t (cbrt z))))
3.3b
(/ (* (sqrt (+ t a)) (* (cbrt z) (cbrt z))) (/ t (cbrt z)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
32×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
25×add-exp-log
24×cbrt-prod
22×associate-/r*
18×add-cbrt-cube
9×cbrt-undiv div-exp
6×prod-exp cbrt-unprod
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×div-inv
2×pow1/3 sqrt-div associate-*l/ associate-/l/
1×clear-num frac-2neg flip3-+ associate-/r/ flip-+ fma-udef associate-/l*
Counts
4 → 112
Calls
4 calls:
3.0ms
(cbrt z)
3.0ms
(cbrt z)
2.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (* (sqrt (+ t a)) (* (cbrt z) (cbrt z))) (/ t (cbrt z))))
93.0ms
(/ (* (sqrt (+ t a)) (* (cbrt z) (cbrt z))) (/ t (cbrt z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
287.0ms
(cbrt z)
390.0ms
(cbrt z)
387.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (* (sqrt (+ t a)) (* (cbrt z) (cbrt z))) (/ t (cbrt z))))
185.0ms
(/ (* (sqrt (+ t a)) (* (cbrt z) (cbrt z))) (/ t (cbrt z)))

simplify3.9s

Counts
124 → 124
Iterations
IterNodes
done5021
22412
1726
0260

prune2.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.8333333333333334 c) (/ (* c 0.6666666666666666) t))
0.0b
(exp (* 2.0 (fma (/ b t) 0.6666666666666666 (- (* 0.8333333333333334 c) (/ (* c 0.6666666666666666) t)))))
0.2b
(/ (* c 0.6666666666666666) t)
0.8b
(fma (/ b t) 0.6666666666666666 (- (* 0.8333333333333334 c) (/ (* c 0.6666666666666666) t)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
7×prod-diff
6×times-frac
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
3×associate-/r* fma-udef
2×cbrt-undiv div-exp exp-sum div-inv
1×distribute-rgt-in exp-prod clear-num sub-neg frac-2neg distribute-lft-in flip3-- exp-to-pow fma-neg diff-log prod-exp cbrt-unprod flip-- associate-/l* rem-exp-log
Counts
4 → 73
Calls
4 calls:
19.0ms
(- (* 0.8333333333333334 c) (/ (* c 0.6666666666666666) t))
6.0ms
(exp (* 2.0 (fma (/ b t) 0.6666666666666666 (- (* 0.8333333333333334 c) (/ (* c 0.6666666666666666) t)))))
12.0ms
(/ (* c 0.6666666666666666) t)
1.0ms
(fma (/ b t) 0.6666666666666666 (- (* 0.8333333333333334 c) (/ (* c 0.6666666666666666) t)))

series347.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(- (* 0.8333333333333334 c) (/ (* c 0.6666666666666666) t))
131.0ms
(exp (* 2.0 (fma (/ b t) 0.6666666666666666 (- (* 0.8333333333333334 c) (/ (* c 0.6666666666666666) t)))))
43.0ms
(/ (* c 0.6666666666666666) t)
102.0ms
(fma (/ b t) 0.6666666666666666 (- (* 0.8333333333333334 c) (/ (* c 0.6666666666666666) t)))

simplify3.3s

Counts
85 → 85
Iterations
IterNodes
done5001
21570
1475
0185

prune1.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes1.8s

Accuracy

0% (1.4b remaining)

Error of 1.9b against oracle of 0.5b and baseline of 1.9b

bsearch0.0ms

simplify11.0ms

Iterations
IterNodes
done32
132
029

end0.0ms

sample4.9s

Algorithm
intervals
Results
2.1s8000×body80valid
1.4s8062×body80nan