Details

Time bar (total: 13.4s)

sample79.0ms

Algorithm
intervals
Results
25.0ms315×body80nan
19.0ms256×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 4 (152.0ms)

IterNodesCost
02833
15033
210732
334632
4138731
done500031

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.4b
(/ (/ 2.0 3.0) t)
1.4b
(fma (- (/ (/ 2.0 3.0) t) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
4.0b
(/ (* z (sqrt (+ t a))) t)

rewrite29.0ms

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:
11.0ms
(* z (sqrt (+ t a)))
6.0ms
(/ (/ 2.0 3.0) t)
0.0ms
(fma (- (/ (/ 2.0 3.0) t) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
6.0ms
(/ (* z (sqrt (+ t a))) t)

series377.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* z (sqrt (+ t a)))
19.0ms
(/ (/ 2.0 3.0) t)
201.0ms
(fma (- (/ (/ 2.0 3.0) t) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
87.0ms
(/ (* z (sqrt (+ t a))) t)

simplify952.0ms

Counts
146 → 146
Iterations

Useful iterations: done (948.0ms)

IterNodesCost
03181876
17431758
221531622
done50001616

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.4b
(fma (- (/ (/ 2.0 3.0) t) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
2.6b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite49.0ms

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:
0.0ms
(cbrt t)
1.0ms
(cbrt t)
0.0ms
(fma (- (/ (/ 2.0 3.0) t) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
42.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series741.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt t)
193.0ms
(cbrt t)
235.0ms
(fma (- (/ (/ 2.0 3.0) t) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
119.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify1.3s

Counts
137 → 137
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02452460
16932331
226911806
done50011795

prune757.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.1b
(fma (- (/ (/ 2.0 3.0) t) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (log1p (expm1 (cbrt t))))) (/ (sqrt (+ t a)) (cbrt t))))
2.2b
(log1p (expm1 (cbrt t)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow1/3
1×log1p-udef log1p-expm1 fma-udef
Counts
4 → 47
Calls
4 calls:
0.0ms
(cbrt t)
1.0ms
(cbrt t)
0.0ms
(fma (- (/ (/ 2.0 3.0) t) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (log1p (expm1 (cbrt t))))) (/ (sqrt (+ t a)) (cbrt t))))
0.0ms
(log1p (expm1 (cbrt t)))

series1.2s

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt t)
199.0ms
(cbrt t)
448.0ms
(fma (- (/ (/ 2.0 3.0) t) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (log1p (expm1 (cbrt t))))) (/ (sqrt (+ t a)) (cbrt t))))
334.0ms
(log1p (expm1 (cbrt t)))

simplify684.0ms

Counts
59 → 59
Iterations

Useful iterations: done (682.0ms)

IterNodesCost
088685
1166623
2372528
31167500
done5000498

prune430.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp 2.0) (- (* (/ 0.6666666666666666 t) (- b c)) (* 0.8333333333333334 b)))
0.0b
(fma y (pow (exp 2.0) (- (* (/ 0.6666666666666666 t) (- b c)) (* 0.8333333333333334 b))) x)
0.0b
(- (* (/ 0.6666666666666666 t) (- b c)) (* 0.8333333333333334 b))
0.2b
(* (/ 0.6666666666666666 t) (- b c))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
56×prod-diff
53×*-un-lft-identity
51×add-cube-cbrt
44×associate--l+
33×distribute-rgt-in distribute-lft-in
25×unpow-prod-up
13×associate-*l*
10×times-frac
9×add-exp-log add-cbrt-cube
8×sub-neg
7×pow1
6×add-log-exp
5×associate-*r*
4×expm1-log1p-u pow-pow log1p-expm1-u
3×unpow-prod-down pow-unpow exp-prod flip3-- flip--
2×frac-times associate-*r/ prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv pow-to-exp fma-neg diff-log div-exp pow-prod-down associate-*l/ pow-exp *-commutative fma-udef div-inv distribute-lft-out-- pow-sub difference-of-squares sqr-pow
Counts
4 → 158
Calls
4 calls:
11.0ms
(pow (exp 2.0) (- (* (/ 0.6666666666666666 t) (- b c)) (* 0.8333333333333334 b)))
0.0ms
(fma y (pow (exp 2.0) (- (* (/ 0.6666666666666666 t) (- b c)) (* 0.8333333333333334 b))) x)
15.0ms
(- (* (/ 0.6666666666666666 t) (- b c)) (* 0.8333333333333334 b))
17.0ms
(* (/ 0.6666666666666666 t) (- b c))

series534.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(pow (exp 2.0) (- (* (/ 0.6666666666666666 t) (- b c)) (* 0.8333333333333334 b)))
324.0ms
(fma y (pow (exp 2.0) (- (* (/ 0.6666666666666666 t) (- b c)) (* 0.8333333333333334 b))) x)
47.0ms
(- (* (/ 0.6666666666666666 t) (- b c)) (* 0.8333333333333334 b))
50.0ms
(* (/ 0.6666666666666666 t) (- b c))

simplify1.2s

Counts
170 → 170
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02873389
17232880
221102541
done50012487

prune575.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes257.0ms

Accuracy

0% (1.2b remaining)

Error of 1.4b against oracle of 0.3b and baseline of 1.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02938
13238
done3238

end0.0ms

sample1.8s

Algorithm
intervals
Results
609.0ms8000×body80valid
555.0ms7890×body80nan