Details

Time bar (total: 33.3s)

sample195.0ms

Algorithm
intervals
Results
69.0ms92×body1280valid
52.0ms303×body80valid
44.0ms85×body640valid
12.0ms39×body320valid
3.0ms15×body160valid

simplify175.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
175.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite116.0ms

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
76.0ms
(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
29.0ms
(+ (/ 0.5 (exp im)) (* (exp im) 0.5))
9.0ms
(/ 0.5 (exp im))

series226.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
107.0ms
(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
105.0ms
(+ (/ 0.5 (exp im)) (* (exp im) 0.5))
14.0ms
(/ 0.5 (exp im))

simplify2.3s

Counts
47 → 70
Calls
47 calls:
Slowest
411.0ms
(/ (* (* 0.5 0.5) 0.5) (* (* (exp im) (exp im)) (exp im)))
347.0ms
(+ (log (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (log (cos re)))
303.0ms
(* (+ (pow (/ 0.5 (exp im)) 3) (pow (* (exp im) 0.5) 3)) (cos re))
203.0ms
(* (- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* (exp im) 0.5) (* (exp im) 0.5))) (cos re))
133.0ms
(* (exp (/ 0.5 (exp im))) (exp (* (exp im) 0.5)))

prune719.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

4.5b
(- (* (* (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)))))
0.0b
(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
0.0b
(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))

rewrite716.0ms

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
552.0ms
(/ (* (+ (* (* (/ 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)))))
82.0ms
(- (* (* (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)))
38.0ms
(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))

series374.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
262.0ms
(/ (* (+ (* (* (/ 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)))))
55.0ms
(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))
31.0ms
(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
26.0ms
(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))

simplify17.2s

Counts
191 → 194
Calls
191 calls:
Slowest
565.0ms
(/ (cos re) (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))))))
488.0ms
(* (* (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))))))
480.0ms
(/ (exp (* (* (exp im) 0.5) (* (exp im) 0.5))) (exp (* (/ 0.5 (exp im)) (* (exp im) 0.5))))
476.0ms
(/ (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)))))
472.0ms
(* (* (exp im) (exp im)) (+ (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5))))

prune2.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes80.0ms

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
3.8s2919×body1280valid
2.1s2526×body640valid
1.3s8574×body80valid
653.0ms1223×body320valid
204.0ms613×body160valid