Details

Time bar (total: 27.5s)

sample121.0ms

Algorithm
intervals
Results
28.0ms256×body80valid
26.0ms262×body80nan

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 4 (421.0ms)

IterNodesCost
02833
15033
210832
338732
4160431
done500131

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ (/ 2.0 t) 3.0)
1.8b
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
4.7b
(/ (* z (sqrt (+ t a))) t)

rewrite109.0ms

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:
55.0ms
(* 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))
21.0ms
(/ (* z (sqrt (+ t a))) t)

series478.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(* z (sqrt (+ t a)))
20.0ms
(/ (/ 2.0 t) 3.0)
245.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
113.0ms
(/ (* z (sqrt (+ t a))) t)

simplify1.7s

Counts
146 → 146
Iterations

Useful iterations: done (1.7s)

IterNodesCost
03191876
17401756
219821622
done50011602

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.8b
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
2.1b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite555.0ms

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)
1.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
128.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series1.1s

Counts
4 → 12
Calls
4 calls:
289.0ms
(cbrt t)
309.0ms
(cbrt t)
317.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
184.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify1.8s

Counts
137 → 137
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02452460
16682293
224261806
done50001678

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
10.3b
(log (exp (cbrt t)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×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 pow1/3
1×rem-log-exp
Counts
4 → 59
Calls
4 calls:
2.0ms
(cbrt t)
2.0ms
(cbrt t)
3.0ms
(cbrt t)
9.0ms
(log (exp (cbrt t)))

series1.3s

Counts
4 → 12
Calls
4 calls:
322.0ms
(cbrt t)
341.0ms
(cbrt t)
333.0ms
(cbrt t)
275.0ms
(log (exp (cbrt t)))

simplify1.6s

Counts
71 → 71
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
055358
177301
2124274
3215262
4487262
51554262
done5000262

prune715.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (fma y (pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))) x))
0.0b
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
0.2b
(* 0.6666666666666666 (- (/ b t) (/ c t)))
1.0b
(- (/ b t) (/ c t))

rewrite506.0ms

Algorithm
rewrite-expression-head
Rules
1208×times-frac
961×add-sqr-sqrt
951×*-un-lft-identity
935×add-cube-cbrt
846×prod-diff
342×distribute-rgt-in distribute-lft-in associate--l+
136×div-inv
14×fma-neg
12×associate-*r*
8×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
6×pow1 sub-neg
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×flip3-- associate-*l* associate-/r* flip-- associate-/l*
2×distribute-rgt-out-- diff-log frac-sub sub-div
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
4 → 969
Calls
4 calls:
8.0ms
(/ x (fma y (pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))) x))
107.0ms
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
132.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
69.0ms
(- (/ b t) (/ c t))

series434.0ms

Counts
4 → 12
Calls
4 calls:
268.0ms
(/ x (fma y (pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))) x))
60.0ms
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
74.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
31.0ms
(- (/ b t) (/ c t))

simplify3.1s

Counts
981 → 981
Iterations

Useful iterations: done (3.0s)

IterNodesCost
082935625
1141131422
2294722964
done500017771

prune4.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes305.0ms

Accuracy

0% (1.1b remaining)

Error of 1.3b against oracle of 0.2b and baseline of 1.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02938
13238
done3238

end0.0ms

sample5.2s

Algorithm
intervals
Results
2.2s7905×body80nan
1.5s8000×body80valid