Details

Time bar (total: 20.4s)

sample73.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
18.0ms263×body80nan

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 4 (149.0ms)

IterNodesCost
02833
15033
210732
334632
4138731
done500031

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.4b
(/ (/ 2.0 3.0) t)
1.6b
(fma (- (/ (/ 2.0 3.0) t) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
5.0b
(/ (* 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)

series376.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* z (sqrt (+ t a)))
22.0ms
(/ (/ 2.0 3.0) t)
200.0ms
(fma (- (/ (/ 2.0 3.0) t) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
86.0ms
(/ (* z (sqrt (+ t a))) t)

simplify930.0ms

Counts
146 → 146
Iterations

Useful iterations: done (926.0ms)

IterNodesCost
03181876
17431758
221531622
done50001616

prune798.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.6b
(fma (- (/ (/ 2.0 3.0) t) (+ 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)))

rewrite46.0ms

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)
0.0ms
(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))))
39.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series733.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(cbrt t)
189.0ms
(cbrt t)
230.0ms
(fma (- (/ (/ 2.0 3.0) t) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
120.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify1.5s

Counts
137 → 137
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02452460
16932331
226911806
done50011795

prune777.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.8b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t)))))
10.9b
(log (exp (cbrt t)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
74×associate-*r*
73×*-un-lft-identity
69×add-sqr-sqrt
56×log-pow
53×add-cube-cbrt
48×exp-prod
42×sqrt-prod
30×cbrt-prod
25×add-exp-log
21×add-cbrt-cube
14×pow1
10×distribute-lft-out
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×log-prod
2×pow1/3 div-inv
1×frac-times associate-*r/ rem-log-exp pow-prod-down associate-*l/ *-commutative
Counts
4 → 159
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
55.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t)))))
6.0ms
(log (exp (cbrt t)))

series788.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(cbrt t)
215.0ms
(cbrt t)
131.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t)))))
216.0ms
(log (exp (cbrt t)))

simplify1.3s

Counts
171 → 171
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02462672
16852296
226671853
done50001846

prune984.0ms

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 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
0.0b
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
0.2b
(* 0.6666666666666666 (- (/ b t) (/ c t)))
0.9b
(- (/ b t) (/ c t))

rewrite433.0ms

Algorithm
rewrite-expression-head
Rules
1667×times-frac
1320×add-sqr-sqrt
1310×*-un-lft-identity
1294×add-cube-cbrt
1185×prod-diff
684×associate--l+
513×distribute-rgt-in distribute-lft-in
345×unpow-prod-up
187×div-inv
14×fma-neg
12×associate-*r*
9×sub-neg
8×distribute-lft-out-- add-log-exp difference-of-squares
7×pow1
6×add-exp-log add-cbrt-cube
4×expm1-log1p-u pow-pow associate-*r/ log1p-expm1-u
3×unpow-prod-down pow-unpow exp-prod flip3-- associate-*l* flip--
2×distribute-rgt-out-- diff-log frac-sub sub-div
1×pow-to-exp pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod pow-sub unswap-sqr sqr-pow
Counts
4 → 1308
Calls
4 calls:
85.0ms
(pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
70.0ms
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
89.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
28.0ms
(- (/ b t) (/ c t))

series209.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
44.0ms
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
50.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
23.0ms
(- (/ b t) (/ c t))

simplify1.8s

Counts
1320 → 1320
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0120155140
1236548928
done500143696

prune6.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes285.0ms

Accuracy

0% (1.2b remaining)

Error of 1.5b against oracle of 0.2b and baseline of 1.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02938
13238
done3238

end0.0ms

sample1.9s

Algorithm
intervals
Results
608.0ms8000×body80valid
575.0ms8195×body80nan