Details

Time bar (total: 21.5s)

sample106.0ms

Algorithm
intervals
Results
28.0ms256×body80valid
22.0ms227×body80nan

simplify1.2s

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

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.9b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (fma y (exp (* 2.0 (fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t))))) x))
0.3b
(/ (/ 2.0 t) 3.0)
2.8b
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
5.4b
(* (sqrt (+ a t)) (/ z t))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
95×times-frac
73×add-sqr-sqrt
65×*-un-lft-identity
63×add-cube-cbrt
16×add-cbrt-cube add-exp-log associate-/l*
13×associate-*r*
7×associate-*l* div-inv
6×pow1 associate-/r* sqrt-prod
5×cbrt-undiv div-exp
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp unswap-sqr
2×frac-times clear-num frac-2neg flip3-+ associate-*l/ prod-exp cbrt-unprod flip-+
1×pow-prod-down associate-*r/ *-commutative fma-udef distribute-lft-out associate-/l/
Counts
4 → 155
Calls
4 calls:
4.0ms
(/ x (fma y (exp (* 2.0 (fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t))))) x))
10.0ms
(/ (/ 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)))
38.0ms
(* (sqrt (+ a t)) (/ z t))

series826.0ms

Counts
4 → 12
Calls
4 calls:
456.0ms
(/ x (fma y (exp (* 2.0 (fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t))))) x))
28.0ms
(/ (/ 2.0 t) 3.0)
232.0ms
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (sqrt (+ a t)) (/ z t)))
110.0ms
(* (sqrt (+ a t)) (/ z t))

simplify2.0s

Counts
167 → 167
Iterations
IterNodes
done5001
23684
1851
0358

prune1.8s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize58.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
2.8b
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (/ (sqrt (+ a t)) (* (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)
0.0ms
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (/ (sqrt (+ a t)) (* (cbrt t) (cbrt t))) (/ z (cbrt t))))

series1.2s

Counts
4 → 12
Calls
4 calls:
335.0ms
(cbrt t)
282.0ms
(cbrt t)
276.0ms
(cbrt t)
319.0ms
(fma (- c b) (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (* (/ (sqrt (+ a t)) (* (cbrt t) (cbrt t))) (/ z (cbrt t))))

simplify689.0ms

Counts
61 → 61
Iterations
IterNodes
done5001
31359
2375
1141
070

prune687.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
262×times-frac
214×add-sqr-sqrt
210×*-un-lft-identity
202×add-cube-cbrt
169×prod-diff
30×div-inv
13×fma-neg
5×add-cbrt-cube add-exp-log add-log-exp
4×distribute-lft-out-- difference-of-squares
3×expm1-log1p-u pow1 associate-/r* log1p-expm1-u associate-/l*
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-- distribute-rgt-out-- diff-log div-exp frac-sub fma-udef flip-- sub-div
Counts
3 → 246
Calls
3 calls:
4.0ms
(/ x (fma y (exp (* 2.0 (fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c)))) x))
0.0ms
(fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c))
37.0ms
(- (/ b t) (/ c t))

series252.0ms

Counts
3 → 9
Calls
3 calls:
153.0ms
(/ x (fma y (exp (* 2.0 (fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c)))) x))
50.0ms
(fma 0.6666666666666666 (- (/ b t) (/ c t)) (* 0.8333333333333334 c))
48.0ms
(- (/ b t) (/ c t))

simplify2.2s

Counts
255 → 255
Iterations
IterNodes
done5000
22579
1835
0384

prune908.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (fma y (exp (* 2.0 (fma 0.6666666666666666 (* (/ 1 t) (- b c)) (* 0.8333333333333334 c)))) x))
0.1b
(fma 0.6666666666666666 (* (/ 1 t) (- b c)) (* 0.8333333333333334 c))
0.2b
(* (/ 1 t) (- b c))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
34×*-un-lft-identity
31×add-cube-cbrt
20×times-frac
18×prod-diff
14×add-exp-log
13×associate-*l*
11×distribute-rgt-in distribute-lft-in
10×add-cbrt-cube
5×pow1 associate-*r*
4×prod-exp
3×expm1-log1p-u associate-/r* div-exp log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×frac-times cbrt-undiv sub-neg flip3-- associate-*r/ cbrt-unprod div-inv flip--
1×rec-exp clear-num frac-2neg 1-exp pow-prod-down associate-*l/ *-commutative fma-udef distribute-lft-out-- difference-of-squares
Counts
3 → 104
Calls
3 calls:
4.0ms
(/ x (fma y (exp (* 2.0 (fma 0.6666666666666666 (* (/ 1 t) (- b c)) (* 0.8333333333333334 c)))) x))
0.0ms
(fma 0.6666666666666666 (* (/ 1 t) (- b c)) (* 0.8333333333333334 c))
41.0ms
(* (/ 1 t) (- b c))

series300.0ms

Counts
3 → 9
Calls
3 calls:
196.0ms
(/ x (fma y (exp (* 2.0 (fma 0.6666666666666666 (* (/ 1 t) (- b c)) (* 0.8333333333333334 c)))) x))
59.0ms
(fma 0.6666666666666666 (* (/ 1 t) (- b c)) (* 0.8333333333333334 c))
44.0ms
(* (/ 1 t) (- b c))

simplify2.1s

Counts
113 → 113
Iterations
IterNodes
done5001
22792
1557
0224

prune823.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes766.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done33
133
029

end0.0ms

sample5.3s

Algorithm
intervals
Results
2.5s8000×body80valid
1.3s7927×body80nan