Details

Time bar (total: 11.5s)

sample38.0ms

Algorithm
intervals
Results
19.0ms743×body80valid

simplify4.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1188
2408
3998
42218
54058
67278
720708
847758
done50018

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize6.0ms

Local error

Found 1 expressions with local error:

6.5b
(/ (* (cosh x) (/ y x)) z)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r* associate-/l/
2×cosh-def prod-exp cbrt-unprod
1×pow1 expm1-log1p-u frac-times frac-2neg associate-*r/ associate-*l/ clear-num log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 28
Calls
1 calls:
5.0ms
(/ (* (cosh x) (/ y x)) z)

series112.0ms

Counts
1 → 3
Calls
1 calls:
111.0ms
(/ (* (cosh x) (/ y x)) z)

simplify404.0ms

Counts
31 → 31
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
091364
1250348
2998284
done5000284

prune75.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

6.6b
(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
22×add-cbrt-cube
20×prod-exp
13×associate-*r*
10×div-exp cbrt-unprod
9×times-frac
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow1
5×cbrt-undiv frac-times associate-*l/
4×cosh-def
3×rec-exp 1-exp associate-*r/ pow-prod-down
1×expm1-log1p-u associate-*l* un-div-inv *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
17.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

series112.0ms

Counts
1 → 3
Calls
1 calls:
112.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

simplify994.0ms

Counts
55 → 55
Iterations

Useful iterations: 2 (155.0ms)

IterNodesCost
0139797
1426664
21776508
done5000508

prune102.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ (exp x) (exp (- x))) y)
5.5b
(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
13×times-frac
10×cbrt-undiv add-sqr-sqrt *-un-lft-identity div-exp
8×add-cube-cbrt
7×associate-/l*
6×prod-exp cbrt-unprod
4×pow1 associate-*l*
3×associate-*r* div-inv
2×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
1×frac-2neg flip3-+ pow-prod-down clear-num associate-/r* *-commutative flip-+ associate-/l/ distribute-lft-out unswap-sqr
Counts
2 → 63
Calls
2 calls:
21.0ms
(* (+ (exp x) (exp (- x))) y)
11.0ms
(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

series148.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* (+ (exp x) (exp (- x))) y)
95.0ms
(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

simplify698.0ms

Counts
69 → 69
Iterations

Useful iterations: 2 (153.0ms)

IterNodesCost
01571154
14291100
22005885
done5001885

prune150.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ (exp x) (exp (- x))) y)
0.2b
(/ 1 (/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z)))
5.4b
(/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
99×add-exp-log
89×times-frac
55×add-cbrt-cube
54×div-exp
36×add-sqr-sqrt *-un-lft-identity
34×add-cube-cbrt
27×cbrt-undiv
21×prod-exp
19×associate-/r*
12×div-inv
11×cbrt-unprod
7×rec-exp 1-exp
6×pow1 associate-/r/
4×associate-*l* associate-/l*
3×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
2×frac-2neg associate-*l/ clear-num
1×pow-flip flip3-+ pow-prod-down *-commutative flip-+ distribute-lft-out inv-pow unswap-sqr
Counts
3 → 157
Calls
3 calls:
24.0ms
(* (+ (exp x) (exp (- x))) y)
19.0ms
(/ 1 (/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z)))
10.0ms
(/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z))

series264.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* (+ (exp x) (exp (- x))) y)
94.0ms
(/ 1 (/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z)))
113.0ms
(/ (* 2 x) (/ (* (+ (exp x) (exp (- x))) y) z))

simplify2.1s

Counts
166 → 166
Iterations

Useful iterations: 2 (321.0ms)

IterNodesCost
02853495
17683128
238052618
done50002618

prune283.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes190.0ms

Accuracy

91.4% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 6.6b

bsearch114.0ms

Steps
ItersRangePoint
10
2.5518260001710317e-97
5.928325538002112e-85
5.825119160078433e-85
9
-3.3781928696670388e+41
-1.1116100419125065e+35
-1.4095309793540851e+35

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02350
13237
done3237

end0.0ms

sample1.0s

Algorithm
intervals
Results
584.0ms22251×body80valid