Details

Time bar (total: 1.1m)

sample237.0ms

Algorithm
intervals
Results
85.0ms97×body640valid
82.0ms89×body1280valid
37.0ms294×body80valid
11.0ms27×body320valid
6.0ms23×body160valid

simplify237.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
236.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 0.5 (exp im))
0.0b
(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
0.0b
(+ (/ 0.5 (exp im)) (* (exp im) 0.5))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
9×times-frac
7×add-cbrt-cube
6×add-exp-log
5×pow1 add-log-exp
3×associate-/r* associate-*r* associate-*l* insert-posit16 associate-/l*
2×flip3-+ associate-*l/ flip-+
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 61
Calls
3 calls:
Slowest
65.0ms
(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
24.0ms
(+ (/ 0.5 (exp im)) (* (exp im) 0.5))
9.0ms
(/ 0.5 (exp im))

series227.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
103.0ms
(+ (/ 0.5 (exp im)) (* (exp im) 0.5))
96.0ms
(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
29.0ms
(/ 0.5 (exp im))

simplify2.1s

Counts
47 → 70
Calls
47 calls:
Slowest
465.0ms
(/ (* (* 0.5 0.5) 0.5) (* (* (exp im) (exp im)) (exp im)))
260.0ms
(* (+ (pow (/ 0.5 (exp im)) 3) (pow (* (exp im) 0.5) 3)) (cos re))
208.0ms
(* (- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* (exp im) 0.5) (* (exp im) 0.5))) (cos re))
199.0ms
(* (exp (/ 0.5 (exp im))) (exp (* (exp im) 0.5)))
139.0ms
(* (* (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (* (* (cos re) (cos re)) (cos re)))

prune647.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

5.2b
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))
0.3b
(/ (* (+ (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))) (* (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* 0.5 (exp im)))) (cos re)) (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))))
0.1b
(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
0.1b
(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))

rewrite723.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
83×times-frac
62×*-un-lft-identity add-cube-cbrt
33×add-cbrt-cube
26×swap-sqr associate-*r* associate-*l*
25×add-exp-log
18×pow1
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod div-inv
8×associate-/r/ unswap-sqr
6×associate-*l/ frac-add add-log-exp
4×frac-times flip3-- associate-*r/ insert-posit16 flip--
3×associate-/r*
2×pow2 flip3-+ pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up flip-+ associate-/l/
1×clear-num sub-neg frac-2neg distribute-rgt-out-- diff-log associate-/l*
Counts
4 → 182
Calls
4 calls:
Slowest
581.0ms
(/ (* (+ (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))) (* (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* 0.5 (exp im)))) (cos re)) (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))))
64.0ms
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))
39.0ms
(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
33.0ms
(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))

series425.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
303.0ms
(/ (* (+ (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))) (* (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* 0.5 (exp im)))) (cos re)) (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))))
53.0ms
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))
36.0ms
(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
33.0ms
(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))

simplify18.1s

Counts
191 → 194
Calls
191 calls:
Slowest
601.0ms
(- (+ (log (+ (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))) (* (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* 0.5 (exp im))))) (log (cos re))) (log (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))))))
586.0ms
(/ (cos re) (sqrt (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))))))
519.0ms
(/ (exp (* (* (exp im) 0.5) (* (exp im) 0.5))) (exp (* (/ 0.5 (exp im)) (* (exp im) 0.5))))
505.0ms
(* (* (exp im) (exp im)) (+ (* (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (* (exp im) 0.5) (* (exp im) 0.5))) (+ (* (* (/ 0.5 (exp im)) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))) (* (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))))))
495.0ms
(* (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im)))))

prune2.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize91.0ms

Local error

Found 4 expressions with local error:

5.2b
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))
5.2b
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))
0.3b
(/ (+ (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))) (* (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* 0.5 (exp im)))) (sqrt (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))))))
0.1b
(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
64×times-frac
61×add-sqr-sqrt
49×*-un-lft-identity add-cube-cbrt
18×add-cbrt-cube
15×sqrt-prod
14×pow3 add-exp-log
13×swap-sqr associate-*r* associate-*l*
11×pow1
8×sqrt-div associate-/r/ add-log-exp
7×sum-cubes
6×associate-/r* frac-add
5×cbrt-undiv flip3-- div-exp div-inv flip--
4×prod-exp cbrt-unprod insert-posit16 associate-/l* unswap-sqr
3×frac-times associate-*l/ associate-*r/
2×sub-neg flip3-+ distribute-rgt-out-- diff-log flip-+ associate-/l/
1×pow2 clear-num frac-2neg pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
Counts
4 → 153
Calls
4 calls:
Slowest
961.0ms
(/ (+ (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))) (* (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* 0.5 (exp im)))) (sqrt (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))))))
71.0ms
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))
56.0ms
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))
36.0ms
(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))

series604.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
448.0ms
(/ (+ (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))) (* (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* 0.5 (exp im)))) (sqrt (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))))))
66.0ms
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))
47.0ms
(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
43.0ms
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))

simplify29.6s

Counts
163 → 165
Calls
163 calls:
Slowest
764.0ms
(/ (* (* (+ (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))) (* (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* 0.5 (exp im)))) (+ (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))) (* (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* 0.5 (exp im))))) (+ (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))) (* (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* 0.5 (exp im))))) (* (* (sqrt (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))))) (sqrt (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))))) (sqrt (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))))))
611.0ms
(/ (sqrt (+ (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))) (* (* (* 0.5 (exp im)) (* 0.5 (exp im))) (* 0.5 (exp im))))) (sqrt (sqrt (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))))))
563.0ms
(/ 1 (sqrt (* (cbrt (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))))) (cbrt (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))))))))
562.0ms
(sqrt (+ (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))))
555.0ms
(/ (exp (* (* (exp im) 0.5) (* (exp im) 0.5))) (exp (* (/ 0.5 (exp im)) (* (exp im) 0.5))))

prune2.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample8.5s

Algorithm
intervals
Results
4.0s3019×body1280valid
1.8s2411×body640valid
1.6s8645×body80valid
516.0ms1202×body320valid
198.0ms634×body160valid