Details

Time bar (total: 19.5s)

sample119.0ms

Algorithm
intervals
Results
40.0ms268×body80nan
25.0ms256×body80valid

simplify1.6s

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

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize41.0ms

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))

rewrite51.0ms

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:
4.0ms
(exp (* 2.0 (fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))))
14.0ms
(/ (/ 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)))
24.0ms
(* (sqrt (+ a t)) (/ z t))

series569.0ms

Counts
4 → 12
Calls
4 calls:
247.0ms
(exp (* 2.0 (fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))))
21.0ms
(/ (/ 2.0 t) 3.0)
221.0ms
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
80.0ms
(* (sqrt (+ a t)) (/ z t))

simplify1.8s

Counts
152 → 152
Iterations
IterNodes
done5002
23815
1854
0343

prune1.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize91.0ms

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:
283.0ms
(cbrt t)
263.0ms
(cbrt t)
289.0ms
(cbrt t)
289.0ms
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (/ (sqrt (+ t a)) (* (cbrt t) (cbrt t))) (/ z (cbrt t))))

simplify1.7s

Counts
61 → 61
Iterations
IterNodes
done5001
31359
2375
1141
070

prune735.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize44.0ms

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))

rewrite69.0ms

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:
6.0ms
(/ 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))))
0.0ms
(fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c))
42.0ms
(- (/ b t) (/ c t))

series387.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(/ x (fma y (exp (* 2.0 (fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c)))) x))
101.0ms
(exp (* 2.0 (fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c))))
47.0ms
(fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c))
43.0ms
(- (/ b t) (/ c t))

simplify2.0s

Counts
272 → 272
Iterations
IterNodes
done5002
23079
1955
0432

prune2.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes567.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done33
133
029

end0.0ms

sample4.5s

Algorithm
intervals
Results
1.6s7966×body80nan
1.5s8000×body80valid