Details

Time bar (total: 21.0s)

sample178.0ms

Algorithm
intervals
Results
47.0ms256×body80valid
44.0ms259×body80nan

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 4 (345.0ms)

IterNodesCost
02833
15033
210832
338832
4192331
done500231

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize64.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.6b
(fma (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- c b) (/ (* z (sqrt (+ t a))) t))
6.6b
(/ (* z (sqrt (+ t a))) t)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
7×associate-*r*
6×pow1 times-frac
5×sqrt-prod
4×expm1-log1p-u cbrt-undiv associate-/r* sqrt-div div-exp associate-*r/ log1p-expm1-u associate-/l* add-log-exp
3×associate-*l* prod-exp cbrt-unprod
2×clear-num frac-2neg flip3-+ flip-+ div-inv unswap-sqr associate-/l/
1×pow-prod-down *-commutative fma-udef distribute-lft-out
Counts
4 → 85
Calls
4 calls:
17.0ms
(* z (sqrt (+ t a)))
24.0ms
(/ 2.0 (* t 3.0))
1.0ms
(fma (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- c b) (/ (* z (sqrt (+ t a))) t))
24.0ms
(/ (* z (sqrt (+ t a))) t)

series529.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(* z (sqrt (+ t a)))
27.0ms
(/ 2.0 (* t 3.0))
289.0ms
(fma (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- c b) (/ (* z (sqrt (+ t a))) t))
111.0ms
(/ (* z (sqrt (+ t a))) t)

simplify1.3s

Counts
97 → 97
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02221199
15421125
223181000
done5002988

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
2.1b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
2.6b
(fma (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- c b) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))

rewrite89.0ms

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 pow-prod-down associate-*l/ associate-*r/ *-commutative fma-udef
Counts
4 → 125
Calls
4 calls:
1.0ms
(cbrt t)
2.0ms
(cbrt t)
74.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
1.0ms
(fma (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- c b) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))

series1.1s

Counts
4 → 12
Calls
4 calls:
308.0ms
(cbrt t)
275.0ms
(cbrt t)
170.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
348.0ms
(fma (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- c b) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))

simplify3.1s

Counts
137 → 137
Iterations

Useful iterations: done (3.1s)

IterNodesCost
02462460
17352319
249001866
done50001864

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma y (pow (exp 2.0) (- (* a c) (* b (+ a 0.8333333333333334)))) x)
0.0b
(pow (exp 2.0) (- (* a c) (* b (+ a 0.8333333333333334))))
0.0b
(* b (+ a 0.8333333333333334))
1.7b
(- (* a c) (* b (+ a 0.8333333333333334)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
9×add-cube-cbrt
7×pow1
6×add-cbrt-cube add-exp-log add-log-exp
4×expm1-log1p-u pow-pow associate-*r* log1p-expm1-u
3×unpow-prod-up pow-unpow exp-prod unpow-prod-down associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in prod-diff associate-*r/ associate--r+
1×pow-to-exp flip3-+ flip3-- fma-neg diff-log pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod flip-+ fma-udef flip-- distribute-lft-out pow-sub unswap-sqr sqr-pow
Counts
4 → 79
Calls
4 calls:
1.0ms
(fma y (pow (exp 2.0) (- (* a c) (* b (+ a 0.8333333333333334)))) x)
17.0ms
(pow (exp 2.0) (- (* a c) (* b (+ a 0.8333333333333334))))
15.0ms
(* b (+ a 0.8333333333333334))
6.0ms
(- (* a c) (* b (+ a 0.8333333333333334)))

series432.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(fma y (pow (exp 2.0) (- (* a c) (* b (+ a 0.8333333333333334)))) x)
116.0ms
(pow (exp 2.0) (- (* a c) (* b (+ a 0.8333333333333334))))
52.0ms
(* b (+ a 0.8333333333333334))
42.0ms
(- (* a c) (* b (+ a 0.8333333333333334)))

simplify915.0ms

Counts
91 → 91
Iterations

Useful iterations: 2 (317.0ms)

IterNodesCost
01411220
13811142
214561065
done50001065

prune789.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp 2.0) (- (fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c)) (* 0.6666666666666666 (/ c t))))
0.1b
(fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c))
0.2b
(* 0.6666666666666666 (/ c t))
0.9b
(- (fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c)) (* 0.6666666666666666 (/ c t)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
18×*-un-lft-identity add-cube-cbrt
13×associate-*r*
10×times-frac
9×add-cbrt-cube add-exp-log
7×pow1
6×unpow-prod-up prod-diff add-log-exp
4×expm1-log1p-u pow-pow log1p-expm1-u
3×pow-unpow exp-prod unpow-prod-down fma-neg associate-*l* fma-udef
2×sub-neg prod-exp associate--l+ cbrt-unprod unswap-sqr
1×pow-to-exp cbrt-undiv flip3-- diff-log div-exp pow-prod-down pow-exp associate-*r/ *-commutative div-inv flip-- pow-sub sqr-pow
Counts
4 → 94
Calls
4 calls:
6.0ms
(pow (exp 2.0) (- (fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c)) (* 0.6666666666666666 (/ c t))))
0.0ms
(fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c))
11.0ms
(* 0.6666666666666666 (/ c t))
6.0ms
(- (fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c)) (* 0.6666666666666666 (/ c t)))

series285.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(pow (exp 2.0) (- (fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c)) (* 0.6666666666666666 (/ c t))))
60.0ms
(fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c))
31.0ms
(* 0.6666666666666666 (/ c t))
56.0ms
(- (fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c)) (* 0.6666666666666666 (/ c t)))

simplify1.3s

Counts
106 → 106
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01891743
15231661
223181456
done50011420

prune858.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes672.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02938
13338
done3338

end0.0ms

sample5.2s

Algorithm
intervals
Results
2.0s8000×body80valid
1.8s7996×body80nan