Details

Time bar (total: 32.9s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify10.5s

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.0b
(+ (exp x) (exp (- x)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
Calls
2 calls:
44.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
24.0ms
(+ (exp x) (exp (- x)))

series477.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
412.0ms
(+ (exp x) (exp (- x)))

simplify1.2s

Counts
51 → 51

prune168.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
0.0b
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
0.0b
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
0.0b
(* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))

rewrite248.0ms

Algorithm
rewrite-expression-head
Rules
150×cbrt-prod
128×*-un-lft-identity
102×times-frac
92×add-sqr-sqrt
68×add-cube-cbrt
27×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 180
Calls
4 calls:
21.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
22.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
26.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
160.0ms
(* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
301.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
250.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
248.0ms
(cbrt (/ 2.0 (+ (exp x) (exp (- x)))))
381.0ms
(* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))

simplify932.0ms

Counts
192 → 192

prune866.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))
0.0b
(* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))
0.0b
(* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))
0.0b
(* (cbrt (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))) (cbrt (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))))

rewrite626.0ms

Algorithm
rewrite-expression-head
Rules
296×cbrt-prod
254×*-un-lft-identity
204×add-sqr-sqrt
198×times-frac
128×add-cube-cbrt
85×swap-sqr
68×cbrt-div
67×associate-*r* associate-*l*
54×distribute-lft-out
32×pow1
31×unswap-sqr
24×pow1/3 associate-/r/
20×frac-times
14×associate-*r/ associate-*l/
12×add-exp-log flip3-+ flip-+ div-inv
8×pow-prod-down pow-sqr pow-prod-up
4×pow2 pow-plus prod-exp *-commutative add-cbrt-cube cbrt-unprod add-log-exp
Counts
4 → 346
Calls
4 calls:
189.0ms
(* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))
148.0ms
(* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))
203.0ms
(* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))
50.0ms
(* (cbrt (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))) (cbrt (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))))

series1.9s

Counts
4 → 12
Calls
4 calls:
389.0ms
(* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))
380.0ms
(* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))
398.0ms
(* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))
740.0ms
(* (cbrt (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))) (cbrt (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))))))

simplify1.1s

Counts
358 → 358

prune1.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify11.0s

end0.0ms

sample649.0ms

Algorithm
intervals
Results
446.0ms8000×body80valid