Details

Time bar (total: 28.7s)

sample217.0ms

Algorithm
intervals
Results
87.0ms107×body1280valid
54.0ms278×body80valid
40.0ms76×body640valid
15.0ms35×body320valid
5.0ms18×body160valid

simplify9.2s

Counts
1 → 1
Iterations
IterNodes
102581
91833
81403
71008
6803
5550
4224
3100
257
123
010

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (exp im) (cos re) (/ (cos re) (exp im)))
0.0b
(/ (cos re) (exp im))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube
3×associate-/r* add-exp-log associate-/l*
2×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp fma-udef div-inv
Counts
2 → 39
Calls
2 calls:
0.0ms
(fma (exp im) (cos re) (/ (cos re) (exp im)))
9.0ms
(/ (cos re) (exp im))

series134.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(fma (exp im) (cos re) (/ (cos re) (exp im)))
39.0ms
(/ (cos re) (exp im))

simplify1.3s

Counts
45 → 45
Iterations
IterNodes
43039
3916
2354
1138
073

prune428.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
9×times-frac
7×add-cbrt-cube
5×pow1 add-exp-log add-log-exp
3×expm1-log1p-u associate-/r* associate-*r* associate-*l* log1p-expm1-u associate-/l*
1×cbrt-undiv +-commutative clear-num sum-log fma-def frac-2neg flip3-+ div-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ div-inv unswap-sqr
Counts
3 → 63
Calls
3 calls:
21.0ms
(* (exp im) (cos re))
29.0ms
(+ (* (exp im) (cos re)) (/ (cos re) (exp im)))
17.0ms
(/ (cos re) (exp im))

series176.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* (exp im) (cos re))
87.0ms
(+ (* (exp im) (cos re)) (/ (cos re) (exp im)))
51.0ms
(/ (cos re) (exp im))

simplify2.2s

Counts
72 → 72
Iterations
IterNodes
32672
2798
1246
0102

prune749.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (exp im))
0.0b
(sqrt (exp im))
0.0b
(fma (exp im) (cos re) (* (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im)))))
0.0b
(* (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
82×add-sqr-sqrt
58×times-frac
40×*-un-lft-identity
35×sqrt-prod
34×add-cube-cbrt
26×add-exp-log
22×associate-*r* associate-*l*
16×add-cbrt-cube
15×unswap-sqr
8×pow1 sqrt-pow1 div-exp prod-exp
6×exp-prod
4×expm1-log1p-u cbrt-undiv cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square rec-exp pow1/2 1-exp div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative fma-udef
Counts
4 → 131
Calls
4 calls:
2.0ms
(sqrt (exp im))
2.0ms
(sqrt (exp im))
0.0ms
(fma (exp im) (cos re) (* (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im)))))
37.0ms
(* (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))))

series178.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (exp im))
14.0ms
(sqrt (exp im))
95.0ms
(fma (exp im) (cos re) (* (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im)))))
55.0ms
(* (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))))

simplify3.7s

Counts
143 → 143
Iterations
IterNodes
33384
21357
1475
0170

prune1.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes125.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
212
112
09

end0.0ms

sample8.4s

Algorithm
intervals
Results
3.3s3018×body1280valid
2.1s2479×body640valid
2.0s8526×body80valid
493.0ms1258×body320valid
162.0ms597×body160valid