Details

Time bar (total: 21.9s)

sample214.0ms

Algorithm
intervals
Results
74.0ms268×body80nan
46.0ms256×body80valid

simplify1.8s

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

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* 2.0 (fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))))
0.3b
(/ (/ 2.0 t) 3.0)
1.1b
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
6.1b
(* (sqrt (+ a t)) (/ z t))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
86×times-frac
65×add-sqr-sqrt
57×*-un-lft-identity
55×add-cube-cbrt
14×add-cbrt-cube add-exp-log
13×associate-*r* associate-/l*
7×associate-*l*
6×pow1 sqrt-prod div-inv add-log-exp
4×expm1-log1p-u cbrt-undiv sqrt-div div-exp log1p-expm1-u unswap-sqr
3×associate-/r* fma-udef
2×frac-times flip3-+ exp-sum associate-*l/ prod-exp cbrt-unprod flip-+
1×distribute-rgt-in exp-prod clear-num frac-2neg distribute-lft-in exp-to-pow pow-prod-down associate-*r/ *-commutative distribute-lft-out rem-exp-log associate-/l/
Counts
4 → 140
Calls
4 calls:
3.0ms
(exp (* 2.0 (fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))))
9.0ms
(/ (/ 2.0 t) 3.0)
0.0ms
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
37.0ms
(* (sqrt (+ a t)) (/ z t))

series660.0ms

Counts
4 → 12
Calls
4 calls:
267.0ms
(exp (* 2.0 (fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))))
32.0ms
(/ (/ 2.0 t) 3.0)
255.0ms
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
107.0ms
(* (sqrt (+ a t)) (/ z t))

simplify2.2s

Counts
152 → 152
Iterations
IterNodes
done5002
23815
1854
0343

prune1.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize102.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

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:
281.0ms
(cbrt t)
248.0ms
(cbrt t)
260.0ms
(cbrt t)
276.0ms
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (/ (sqrt (+ t a)) (* (cbrt t) (cbrt t))) (/ z (cbrt t))))

simplify2.0s

Counts
61 → 61
Iterations
IterNodes
done5001
31359
2375
1141
070

prune777.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (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))
1.6b
(- (/ b t) (/ c t))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
262×times-frac
215×add-sqr-sqrt
211×*-un-lft-identity
203×add-cube-cbrt
169×prod-diff
30×div-inv
13×fma-neg
8×add-log-exp
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 log1p-expm1-u distribute-lft-out-- difference-of-squares
3×associate-/r* fma-udef associate-/l*
2×exp-sum
1×distribute-rgt-in cbrt-undiv exp-prod clear-num sub-neg frac-2neg distribute-lft-in flip3-- exp-to-pow distribute-rgt-out-- diff-log div-exp frac-sub flip-- sub-div rem-exp-log
Counts
4 → 260
Calls
4 calls:
8.0ms
(/ x (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))))
1.0ms
(fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c))
65.0ms
(- (/ b t) (/ c t))

series421.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(/ x (fma y (exp (* 2.0 (fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c)))) x))
92.0ms
(exp (* 2.0 (fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c))))
78.0ms
(fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c))
41.0ms
(- (/ b t) (/ c t))

simplify2.3s

Counts
272 → 272
Iterations
IterNodes
done5002
23079
1955
0432

prune2.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes644.0ms

Accuracy

0% (1.1b remaining)

Error of 1.4b against oracle of 0.4b and baseline of 1.4b

bsearch0.0ms

simplify11.0ms

Iterations
IterNodes
done33
133
029

end0.0ms

sample5.4s

Algorithm
intervals
Results
2.0s7966×body80nan
1.8s8000×body80valid