Details

Time bar (total: 14.6s)

sample75.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
19.0ms288×body80nan

simplify464.0ms

Counts
1 → 1
Iterations

Useful iterations: 4 (102.0ms)

IterNodesCost
02833
15033
210732
334732
4139931
done500031

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.2b
(/ 2.0 (* t 3.0))
1.1b
(fma (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
5.8b
(/ (* z (sqrt (+ t a))) t)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
7×associate-*r*
6×pow1 times-frac
5×sqrt-prod
4×cbrt-undiv expm1-log1p-u sqrt-div associate-*r/ div-exp associate-/r* log1p-expm1-u associate-/l* add-log-exp
3×associate-*l* prod-exp cbrt-unprod
2×frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l/ unswap-sqr
1×pow-prod-down *-commutative fma-udef distribute-lft-out
Counts
4 → 85
Calls
4 calls:
11.0ms
(* z (sqrt (+ t a)))
3.0ms
(/ 2.0 (* t 3.0))
0.0ms
(fma (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
6.0ms
(/ (* z (sqrt (+ t a))) t)

series348.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* z (sqrt (+ t a)))
17.0ms
(/ 2.0 (* t 3.0))
184.0ms
(fma (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
81.0ms
(/ (* z (sqrt (+ t a))) t)

simplify641.0ms

Counts
97 → 97
Iterations

Useful iterations: done (638.0ms)

IterNodesCost
02201199
15291129
22083993
done5001987

prune477.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.7b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
1.1b
(fma (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))

rewrite47.0ms

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 associate-*r/ pow-prod-down associate-*l/ *-commutative fma-udef
Counts
4 → 125
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
40.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
0.0ms
(fma (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))

series690.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt t)
177.0ms
(cbrt t)
110.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
222.0ms
(fma (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))

simplify1.0s

Counts
137 → 137
Iterations

Useful iterations: done (998.0ms)

IterNodesCost
02452460
16992331
229351806
done50001801

prune725.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
10.9b
(log (exp (cbrt t)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×log-pow
6×exp-prod
5×pow1
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×log-prod pow1/3
1×rem-log-exp
Counts
4 → 59
Calls
4 calls:
0.0ms
(cbrt t)
1.0ms
(cbrt t)
0.0ms
(cbrt t)
2.0ms
(log (exp (cbrt t)))

series738.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt t)
183.0ms
(cbrt t)
192.0ms
(cbrt t)
182.0ms
(log (exp (cbrt t)))

simplify2.2s

Counts
71 → 71
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
055358
178301
2132274
3260262
4716262
53603262
done5001262

prune441.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (fma y (pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))) x))
0.0b
(pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
0.2b
(* 0.6666666666666666 (- (/ b t) (/ c t)))
1.7b
(- (/ b t) (/ c t))

rewrite319.0ms

Algorithm
rewrite-expression-head
Rules
1208×times-frac
964×add-sqr-sqrt
954×*-un-lft-identity
938×add-cube-cbrt
846×prod-diff
345×unpow-prod-up
342×distribute-rgt-in distribute-lft-in associate--l+
136×div-inv
13×fma-neg
12×associate-*r*
8×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
7×pow1
6×sub-neg add-log-exp
4×expm1-log1p-u pow-pow associate-*r/ log1p-expm1-u
3×unpow-prod-down pow-unpow exp-prod associate-*l* associate-/r* associate-/l*
2×flip3-- distribute-rgt-out-- frac-sub flip-- sub-div
1×cbrt-undiv pow-to-exp frac-2neg diff-log div-exp pow-prod-down pow-exp prod-exp clear-num *-commutative cbrt-unprod pow-sub unswap-sqr sqr-pow
Counts
4 → 979
Calls
4 calls:
2.0ms
(/ x (fma y (pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))) x))
84.0ms
(pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
89.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
28.0ms
(- (/ b t) (/ c t))

series294.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(/ x (fma y (pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))) x))
82.0ms
(pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
47.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
21.0ms
(- (/ b t) (/ c t))

simplify1.0s

Counts
991 → 991
Iterations

Useful iterations: done (719.0ms)

IterNodesCost
0123346172
1239841154
done500040959

prune3.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes250.0ms

Accuracy

0% (1.3b remaining)

Error of 1.6b against oracle of 0.3b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02938
13338
done3338

end0.0ms

sample1.7s

Algorithm
intervals
Results
581.0ms8000×body80valid
526.0ms7787×body80nan