Details

Time bar (total: 22.3s)

sample181.0ms

Algorithm
intervals
Results
60.0ms256×body80valid
43.0ms260×body80nan

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 4 (739.0ms)

IterNodesCost
02833
15033
210832
338832
4192331
done500231

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.2b
(/ (/ 2.0 t) 3.0)
1.6b
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
5.6b
(/ (* z (sqrt (+ t a))) t)

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
55×add-sqr-sqrt
53×*-un-lft-identity
51×add-cube-cbrt
16×add-exp-log add-cbrt-cube
14×associate-/l*
7×associate-*r*
6×pow1 associate-/r* div-inv
5×cbrt-undiv div-exp sqrt-prod
4×expm1-log1p-u sqrt-div associate-*r/ log1p-expm1-u add-log-exp
3×associate-*l* associate-/l/
2×frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ unswap-sqr
1×pow-prod-down *-commutative fma-udef distribute-lft-out
Counts
4 → 134
Calls
4 calls:
35.0ms
(* z (sqrt (+ t a)))
23.0ms
(/ (/ 2.0 t) 3.0)
1.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
32.0ms
(/ (* z (sqrt (+ t a))) t)

series544.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(* z (sqrt (+ t a)))
29.0ms
(/ (/ 2.0 t) 3.0)
304.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
133.0ms
(/ (* z (sqrt (+ t a))) t)

simplify1.9s

Counts
146 → 146
Iterations

Useful iterations: done (1.9s)

IterNodesCost
03191876
17801756
233311636
done50021622

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize60.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.6b
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
2.3b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
58×times-frac
47×*-un-lft-identity
46×associate-*r*
35×add-cube-cbrt
31×cbrt-prod
28×sqrt-prod
25×add-exp-log
18×add-cbrt-cube
10×unswap-sqr
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative fma-udef
Counts
4 → 125
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
0.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
117.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series1.1s

Counts
4 → 12
Calls
4 calls:
281.0ms
(cbrt t)
268.0ms
(cbrt t)
371.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
165.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify3.8s

Counts
137 → 137
Iterations

Useful iterations: done (3.8s)

IterNodesCost
02452460
17332317
247171868
done50001865

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))))
12.0b
(log (exp (cbrt t)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×log-pow
6×exp-prod
5×pow1
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×log-prod
2×pow1/3
1×rem-log-exp fma-udef
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
0.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))))
5.0ms
(log (exp (cbrt t)))

series1.3s

Counts
4 → 12
Calls
4 calls:
266.0ms
(cbrt t)
322.0ms
(cbrt t)
411.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))))
292.0ms
(log (exp (cbrt t)))

simplify896.0ms

Counts
68 → 68
Iterations

Useful iterations: 3 (274.0ms)

IterNodesCost
099735
1174653
2417551
31439490
done5000490

prune715.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma y (pow (exp 2.0) (fma c 0.8333333333333334 (* a (- c b)))) x)
0.0b
(fma c 0.8333333333333334 (* a (- c b)))
0.0b
(* a (- c b))
0.0b
(pow (exp 2.0) (fma c 0.8333333333333334 (* a (- c b))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
23×*-un-lft-identity
21×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
7×pow1
6×add-exp-log add-cbrt-cube
5×associate-*r*
4×expm1-log1p-u pow-pow log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow exp-prod associate-*l* fma-udef
2×sub-neg associate-*r/
1×unpow-prod-up pow-to-exp flip3-- pow-prod-down pow-exp prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr sqr-pow
Counts
4 → 89
Calls
4 calls:
1.0ms
(fma y (pow (exp 2.0) (fma c 0.8333333333333334 (* a (- c b)))) x)
1.0ms
(fma c 0.8333333333333334 (* a (- c b)))
25.0ms
(* a (- c b))
13.0ms
(pow (exp 2.0) (fma c 0.8333333333333334 (* a (- c b))))

series423.0ms

Counts
4 → 12
Calls
4 calls:
229.0ms
(fma y (pow (exp 2.0) (fma c 0.8333333333333334 (* a (- c b)))) x)
50.0ms
(fma c 0.8333333333333334 (* a (- c b)))
60.0ms
(* a (- c b))
84.0ms
(pow (exp 2.0) (fma c 0.8333333333333334 (* a (- c b))))

simplify878.0ms

Counts
101 → 101
Iterations

Useful iterations: done (875.0ms)

IterNodesCost
01811495
13981287
214491114
done50021085

prune464.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes377.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.1b and baseline of 1.6b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02938
13238
done3238

end0.0ms

sample5.1s

Algorithm
intervals
Results
1.9s8000×body80valid
1.8s7863×body80nan