Details

Time bar (total: 37.6s)

sample183.0ms

Algorithm
intervals
Results
57.0ms292×body80valid
54.0ms92×body1280valid
35.0ms99×body640valid
9.0ms42×body320valid
3.0ms16×body160valid

simplify7.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
12611
27711
375711
done500011

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
4×associate-*r* add-log-exp
3×add-sqr-sqrt add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×flip3-+ associate-*r/ flip-+ distribute-lft-out
1×+-commutative distribute-rgt-in distribute-lft-in associate-*l* sum-log *-commutative
Counts
2 → 35
Calls
2 calls:
22.0ms
(+ (exp (- im)) (exp im))
86.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series113.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(+ (exp (- im)) (exp im))
85.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify4.8s

Counts
41 → 41
Iterations

Useful iterations: done (4.8s)

IterNodesCost
087548
1924525
done5001444

prune153.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (/ (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (- (+ im im))) (- (exp (+ im im)) 1))))
0.0b
(pow (exp (- im)) 3)
0.0b
(pow (exp im) 3)
5.9b
(- (exp (+ im im)) 1)

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
128×*-un-lft-identity
55×associate-*r*
45×times-frac
43×distribute-lft-out
34×add-sqr-sqrt
29×add-cube-cbrt
26×unpow-prod-down cube-prod
18×add-cbrt-cube
16×add-exp-log
15×pow-pow
13×exp-prod
11×pow1
10×distribute-lft-out--
6×pow-unpow prod-exp associate-/r/ cbrt-unprod add-log-exp
5×sum-cubes
4×frac-add difference-of-squares
3×neg-sub0 distribute-lft-neg-in exp-neg flip3-- distribute-rgt-neg-in exp-diff exp-sum pow-prod-down flip--
2×cbrt-undiv cube-div cube-mult pow-to-exp unpow3 difference-of-sqr-1 div-exp pow-exp rem-cube-cbrt sqr-pow
1×neg-mul-1 sub-neg flip3-+ diff-log associate-*r/ associate-*l* *-commutative flip-+ div-inv
Counts
4 → 155
Calls
4 calls:
912.0ms
(* (* 0.5 (cos re)) (/ (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (- (+ im im))) (- (exp (+ im im)) 1))))
19.0ms
(pow (exp (- im)) 3)
9.0ms
(pow (exp im) 3)
97.0ms
(- (exp (+ im im)) 1)

series393.0ms

Counts
4 → 12
Calls
4 calls:
294.0ms
(* (* 0.5 (cos re)) (/ (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (- (+ im im))) (- (exp (+ im im)) 1))))
43.0ms
(pow (exp (- im)) 3)
32.0ms
(pow (exp im) 3)
24.0ms
(- (exp (+ im im)) 1)

simplify2.6s

Counts
167 → 167
Iterations

Useful iterations: done (2.6s)

IterNodesCost
02692994
done50002634

prune818.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (/ (+ (pow (exp (- im)) 3) (exp (* 3 im))) (+ (exp (- (+ im im))) (- (exp (+ im im)) 1))))
0.0b
(exp (* 3 im))
0.0b
(pow (exp (- im)) 3)
5.9b
(- (exp (+ im im)) 1)

rewrite901.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
30×associate-*r*
25×add-sqr-sqrt
20×add-cube-cbrt times-frac
17×add-cbrt-cube
16×add-exp-log
13×distribute-lft-out
11×exp-prod pow-pow
10×pow1
8×add-log-exp
6×prod-exp associate-/r/ cbrt-unprod
5×distribute-lft-out--
4×frac-add difference-of-squares
3×neg-sub0 distribute-lft-neg-in exp-neg unpow-prod-down pow-unpow flip3-- distribute-rgt-neg-in exp-diff cube-prod exp-sum pow-prod-down flip--
2×cbrt-undiv cube-div difference-of-sqr-1 div-exp
1×cube-mult pow-to-exp neg-mul-1 sub-neg exp-to-pow flip3-+ diff-log unpow3 associate-*r/ associate-*l* pow-exp *-commutative flip-+ div-inv rem-exp-log rem-cube-cbrt sqr-pow
Counts
4 → 114
Calls
4 calls:
781.0ms
(* (* 0.5 (cos re)) (/ (+ (pow (exp (- im)) 3) (exp (* 3 im))) (+ (exp (- (+ im im))) (- (exp (+ im im)) 1))))
4.0ms
(exp (* 3 im))
17.0ms
(pow (exp (- im)) 3)
91.0ms
(- (exp (+ im im)) 1)

series369.0ms

Counts
4 → 12
Calls
4 calls:
287.0ms
(* (* 0.5 (cos re)) (/ (+ (pow (exp (- im)) 3) (exp (* 3 im))) (+ (exp (- (+ im im))) (- (exp (+ im im)) 1))))
8.0ms
(exp (* 3 im))
41.0ms
(pow (exp (- im)) 3)
33.0ms
(- (exp (+ im im)) 1)

simplify2.1s

Counts
126 → 126
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02432348
done50002156

prune670.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp (- im)) 3)
0.0b
(pow (exp im) 3)
0.0b
(pow (exp im) 3)
5.5b
(- (* (pow (exp im) 3) (exp im)) 1)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
19×pow-pow
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×exp-prod
9×unpow-prod-down pow-unpow cube-prod
7×pow1 add-cbrt-cube
6×add-log-exp
4×add-exp-log
3×distribute-lft-neg-in cube-mult pow-to-exp distribute-rgt-neg-in unpow3 pow-exp rem-cube-cbrt sqr-pow
2×cube-div
1×neg-sub0 exp-neg neg-mul-1 sub-neg flip3-- exp-diff diff-log flip--
Counts
4 → 99
Calls
4 calls:
17.0ms
(pow (exp (- im)) 3)
8.0ms
(pow (exp im) 3)
5.0ms
(pow (exp im) 3)
34.0ms
(- (* (pow (exp im) 3) (exp im)) 1)

series141.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(pow (exp (- im)) 3)
33.0ms
(pow (exp im) 3)
35.0ms
(pow (exp im) 3)
41.0ms
(- (* (pow (exp im) 3) (exp im)) 1)

simplify9.0s

Counts
111 → 111
Iterations

Useful iterations: 1 (5.8s)

IterNodesCost
0116870
14920682
done5002682

prune685.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes179.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11311
done1311

end0.0ms

sample6.0s

Algorithm
intervals
Results
2.1s2965×body1280valid
1.2s2465×body640valid
1.1s1244×body320valid
972.0ms8553×body80valid
93.0ms587×body160valid