Details

Time bar (total: 24.9s)

sample188.0ms

Algorithm
intervals
Results
54.0ms83×body1280valid
40.0ms89×body640valid
32.0ms51×body320valid
24.0ms265×body80valid
5.0ms25×body160valid

simplify2.1s

Counts
1 → 1
Iterations
IterNodes
done5000
62946
5605
4222
391
245
124
014

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.4b

localize39.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
5.9b
(- (exp l) (exp (- l)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×add-cube-cbrt
9×prod-diff
7×pow1 add-cbrt-cube add-exp-log
4×add-log-exp
3×fma-neg associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- associate-*l/ associate-*r/ log1p-expm1-u flip--
1×sub-neg diff-log associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
2 → 50
Calls
2 calls:
82.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
23.0ms
(- (exp l) (exp (- l)))

series196.0ms

Counts
2 → 6
Calls
2 calls:
152.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
45.0ms
(- (exp l) (exp (- l)))

simplify1.6s

Counts
56 → 56
Iterations
IterNodes
done5000
21457
1300
0123

prune465.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(* J (fma (pow l 5) 1/60 (fma (* 1/3 (* l l)) l (+ l l))))
0.0b
(+ (* (* J (fma (pow l 5) 1/60 (fma (* 1/3 (* l l)) l (+ l l)))) (cos (/ K 2.0))) U)
0.1b
(* (* J (fma (pow l 5) 1/60 (fma (* 1/3 (* l l)) l (+ l l)))) (cos (/ K 2.0)))
0.2b
(* 1/3 (* l l))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube add-exp-log
11×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
7×associate-*r* associate-*l* pow-prod-down prod-exp cbrt-unprod
6×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×*-commutative
2×fma-udef unswap-sqr
1×distribute-rgt-in +-commutative sum-log fma-def distribute-lft-in flip3-+ flip-+
Counts
4 → 77
Calls
4 calls:
6.0ms
(* J (fma (pow l 5) 1/60 (fma (* 1/3 (* l l)) l (+ l l))))
22.0ms
(+ (* (* J (fma (pow l 5) 1/60 (fma (* 1/3 (* l l)) l (+ l l)))) (cos (/ K 2.0))) U)
28.0ms
(* (* J (fma (pow l 5) 1/60 (fma (* 1/3 (* l l)) l (+ l l)))) (cos (/ K 2.0)))
21.0ms
(* 1/3 (* l l))

series806.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(* J (fma (pow l 5) 1/60 (fma (* 1/3 (* l l)) l (+ l l))))
330.0ms
(+ (* (* J (fma (pow l 5) 1/60 (fma (* 1/3 (* l l)) l (+ l l)))) (cos (/ K 2.0))) U)
248.0ms
(* (* J (fma (pow l 5) 1/60 (fma (* 1/3 (* l l)) l (+ l l)))) (cos (/ K 2.0)))
35.0ms
(* 1/3 (* l l))

simplify2.1s

Counts
89 → 89
Iterations
IterNodes
done5000
21952
1388
0147

prune801.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* J (* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0)))) U)
0.1b
(* J (* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0))))
0.1b
(* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0)))
0.3b
(* l 1/3)

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
9×*-un-lft-identity associate-*l* add-cube-cbrt
7×associate-*r*
6×add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u
3×*-commutative
2×unswap-sqr
1×+-commutative sum-log fma-def flip3-+ flip-+
Counts
4 → 74
Calls
4 calls:
27.0ms
(+ (* J (* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0)))) U)
28.0ms
(* J (* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0))))
13.0ms
(* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0)))
20.0ms
(* l 1/3)

series814.0ms

Counts
4 → 12
Calls
4 calls:
351.0ms
(+ (* J (* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0)))) U)
255.0ms
(* J (* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0))))
179.0ms
(* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0)))
29.0ms
(* l 1/3)

simplify1.8s

Counts
86 → 86
Iterations
IterNodes
done5001
21246
1349
0146

prune714.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize109.0ms

Local error

Found 4 expressions with local error:

0.3b
(* l 1/3)
0.3b
(* l 1/3)
0.3b
(* l 1/3)
26.7b
(cbrt (* (* (* J (* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0)))) (* J (* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0))))) (* J (* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0))))))

rewrite670.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
9×associate-*r* associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 72
Calls
4 calls:
10.0ms
(* l 1/3)
10.0ms
(* l 1/3)
10.0ms
(* l 1/3)
636.0ms
(cbrt (* (* (* J (* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0)))) (* J (* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0))))) (* J (* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0))))))

series383.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* l 1/3)
27.0ms
(* l 1/3)
27.0ms
(* l 1/3)
302.0ms
(cbrt (* (* (* J (* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0)))) (* J (* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0))))) (* J (* (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))) (cos (/ K 2.0))))))

simplify2.3s

Counts
84 → 84
Iterations
IterNodes
done5000
33639
2637
1191
085

prune985.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes611.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done24
124
019

end0.0ms

sample7.8s

Algorithm
intervals
Results
3.6s2614×body1280valid
1.4s2545×body640valid
1.3s8383×body80valid
586.0ms1442×body320valid
170.0ms805×body160valid