Details

Time bar (total: 29.6s)

sample105.0ms

Algorithm
intervals
Results
45.0ms256×body80valid
23.0ms273×body80nan

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5002
41923
3388
2108
150
028

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0)))
0.3b
(/ (/ 2.0 t) 3.0)
0.6b
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
5.1b
(* (sqrt (+ a t)) (/ z t))

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
293×times-frac
220×add-sqr-sqrt
217×*-un-lft-identity
210×add-cube-cbrt
131×associate-+r+
129×prod-diff
19×div-inv
14×add-cbrt-cube add-exp-log
13×fma-def associate-*r* associate-/l*
9×add-log-exp
7×associate-*l*
6×pow1 sqrt-prod
4×expm1-log1p-u cbrt-undiv sqrt-div div-exp log1p-expm1-u unswap-sqr
3×associate-/r* flip3-+ flip-+ distribute-lft-out
2×frac-times sum-log associate-*l/ frac-add prod-exp cbrt-unprod
1×+-commutative clear-num associate-+r- sub-neg frac-2neg flip3-- diff-log pow-prod-down associate-*r/ *-commutative fma-udef flip-- distribute-lft-out-- associate-/l/
Counts
4 → 289
Calls
4 calls:
133.0ms
(+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0)))
18.0ms
(/ (/ 2.0 t) 3.0)
1.0ms
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
29.0ms
(* (sqrt (+ a t)) (/ z t))

series420.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0)))
34.0ms
(/ (/ 2.0 t) 3.0)
249.0ms
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
96.0ms
(* (sqrt (+ a t)) (/ z t))

simplify1.4s

Counts
301 → 301
Iterations
IterNodes
done5000
11886
0696

prune4.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize106.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (/ (sqrt (+ t a)) (* (cbrt t) (cbrt t))) (/ z (cbrt t))))

series1.1s

Counts
4 → 12
Calls
4 calls:
275.0ms
(cbrt t)
275.0ms
(cbrt t)
269.0ms
(cbrt t)
269.0ms
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (/ (sqrt (+ t a)) (* (cbrt t) (cbrt t))) (/ z (cbrt t))))

simplify1.8s

Counts
61 → 61
Iterations
IterNodes
done5001
31359
2375
1141
070

prune767.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma y (exp (* 2.0 (fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c)))) x)
0.0b
(exp (* 2.0 (fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c))))
0.1b
(fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c))
1.3b
(- (/ b t) (/ c t))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
253×times-frac
207×add-sqr-sqrt
203×*-un-lft-identity
195×add-cube-cbrt
169×prod-diff
29×div-inv
13×fma-neg
8×add-log-exp
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log fma-udef log1p-expm1-u distribute-lft-out-- difference-of-squares
2×exp-sum
1×distribute-rgt-in exp-prod sub-neg distribute-lft-in flip3-- exp-to-pow distribute-rgt-out-- diff-log frac-sub flip-- sub-div rem-exp-log
Counts
4 → 241
Calls
4 calls:
0.0ms
(fma y (exp (* 2.0 (fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c)))) x)
6.0ms
(exp (* 2.0 (fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c))))
0.0ms
(fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c))
32.0ms
(- (/ b t) (/ c t))

series321.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(fma y (exp (* 2.0 (fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c)))) x)
85.0ms
(exp (* 2.0 (fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c))))
52.0ms
(fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c))
38.0ms
(- (/ b t) (/ c t))

simplify2.0s

Counts
253 → 253
Iterations
IterNodes
done5002
22939
1907
0402

prune1.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

1.3b
(- (/ b t) (/ c t))
1.3b
(- (/ b t) (/ c t))
1.3b
(- (/ b t) (/ c t))
26.7b
(cbrt (* (* (fma y (exp (* 2.0 (fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c)))) x) (fma y (exp (* 2.0 (fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c)))) x)) (fma y (exp (* 2.0 (fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c)))) x)))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
759×times-frac
613×add-sqr-sqrt
601×*-un-lft-identity
577×add-cube-cbrt
507×prod-diff
87×div-inv
39×fma-neg
12×distribute-lft-out-- difference-of-squares
10×add-log-exp
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u
3×sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- sub-div
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 633
Calls
4 calls:
36.0ms
(- (/ b t) (/ c t))
45.0ms
(- (/ b t) (/ c t))
43.0ms
(- (/ b t) (/ c t))
12.0ms
(cbrt (* (* (fma y (exp (* 2.0 (fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c)))) x) (fma y (exp (* 2.0 (fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c)))) x)) (fma y (exp (* 2.0 (fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c)))) x)))

series307.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (/ b t) (/ c t))
39.0ms
(- (/ b t) (/ c t))
33.0ms
(- (/ b t) (/ c t))
191.0ms
(cbrt (* (* (fma y (exp (* 2.0 (fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c)))) x) (fma y (exp (* 2.0 (fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c)))) x)) (fma y (exp (* 2.0 (fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c)))) x)))

simplify2.8s

Counts
645 → 645
Iterations
IterNodes
done5001
22332
1767
0346

prune5.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes654.0ms

Accuracy

0% (1.2b remaining)

Error of 1.6b against oracle of 0.4b and baseline of 1.6b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done33
133
029

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.7s8000×body80valid
1.5s7854×body80nan