Details

Time bar (total: 8.1s)

sample133.0ms

Algorithm
intervals
Results
64.0ms144×body1280valid
33.0ms142×body640valid
10.0ms66×body320valid
7.0ms136×body80valid
3.0ms27×body160valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0187
1407
2927
31637
44057
58657
611897
727717
850017

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.4b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
5.2b
(- (exp (- im)) (exp im))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
27×prod-diff
26×add-sqr-sqrt *-un-lft-identity
22×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
7×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-log-exp
3×sub-neg fma-neg pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
1×diff-log associate-*l* *-commutative
Counts
2 → 74
Calls
2 calls:
35.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
13.0ms
(- (exp (- im)) (exp im))

series114.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
35.0ms
(- (exp (- im)) (exp im))

simplify51.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
03711102
11544774
25001722

prune176.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1/60 (pow im 5) (* 2 im))
0.0b
(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
0.1b
(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
0.2b
(* 1/3 (pow im 3))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
54×prod-diff
48×add-sqr-sqrt
41×*-un-lft-identity
37×add-cube-cbrt
20×distribute-rgt-in distribute-lft-in
17×associate-*r*
14×add-exp-log
11×add-cbrt-cube
10×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
9×pow1
8×add-log-exp
6×fma-neg prod-exp
4×expm1-log1p-u unpow-prod-down cube-prod associate-*l* cbrt-unprod log1p-expm1-u unswap-sqr
3×sub-neg pow-prod-down
2×flip3-- diff-log associate-*r/ *-commutative flip-- fma-udef distribute-lft-out-- difference-of-squares sqr-pow
1×associate--l- neg-sub0 cube-mult pow-to-exp unpow3 neg-log pow-exp associate--r+
Counts
4 → 150
Calls
4 calls:
0.0ms
(fma 1/60 (pow im 5) (* 2 im))
6.0ms
(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
21.0ms
(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
7.0ms
(* 1/3 (pow im 3))

series391.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(fma 1/60 (pow im 5) (* 2 im))
60.0ms
(- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im)))
168.0ms
(* (* 0.5 (sin re)) (- (- (* 1/3 (pow im 3))) (fma 1/60 (pow im 5) (* 2 im))))
40.0ms
(* 1/3 (pow im 3))

simplify93.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
05862644
125561682
250021670

prune402.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.008333333333333333 (* (sin re) (pow im 5)))
0.1b
(* 0.16666666666666666 (* (sin re) (pow im 3)))
0.1b
(* (sin re) (pow im 3))
0.1b
(* (sin re) im)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
21×add-sqr-sqrt
18×prod-exp add-cbrt-cube
17×associate-*r*
12×add-cube-cbrt *-un-lft-identity associate-*l*
10×pow1
8×cbrt-unprod
5×unswap-sqr
4×expm1-log1p-u unpow-prod-down cube-prod *-commutative log1p-expm1-u add-log-exp
3×pow-to-exp pow-prod-down pow-exp
2×sqr-pow
1×cube-mult unpow3
Counts
4 → 95
Calls
4 calls:
9.0ms
(* 0.008333333333333333 (* (sin re) (pow im 5)))
9.0ms
(* 0.16666666666666666 (* (sin re) (pow im 3)))
7.0ms
(* (sin re) (pow im 3))
4.0ms
(* (sin re) im)

series349.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(* 0.008333333333333333 (* (sin re) (pow im 5)))
94.0ms
(* 0.16666666666666666 (* (sin re) (pow im 3)))
82.0ms
(* (sin re) (pow im 3))
36.0ms
(* (sin re) im)

simplify59.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0366534
11585451
25001451

prune339.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (* 0.008333333333333333 (* (sin re) (pow im 5)))) (cbrt (* 0.008333333333333333 (* (sin re) (pow im 5)))))
26.5b
(cbrt (* 0.008333333333333333 (* (sin re) (pow im 5))))
26.5b
(cbrt (* 0.008333333333333333 (* (sin re) (pow im 5))))
26.5b
(cbrt (* 0.008333333333333333 (* (sin re) (pow im 5))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
13.0ms
(* (cbrt (* 0.008333333333333333 (* (sin re) (pow im 5)))) (cbrt (* 0.008333333333333333 (* (sin re) (pow im 5)))))
6.0ms
(cbrt (* 0.008333333333333333 (* (sin re) (pow im 5))))
6.0ms
(cbrt (* 0.008333333333333333 (* (sin re) (pow im 5))))
6.0ms
(cbrt (* 0.008333333333333333 (* (sin re) (pow im 5))))

series658.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(* (cbrt (* 0.008333333333333333 (* (sin re) (pow im 5)))) (cbrt (* 0.008333333333333333 (* (sin re) (pow im 5)))))
154.0ms
(cbrt (* 0.008333333333333333 (* (sin re) (pow im 5))))
149.0ms
(cbrt (* 0.008333333333333333 (* (sin re) (pow im 5))))
155.0ms
(cbrt (* 0.008333333333333333 (* (sin re) (pow im 5))))

simplify120.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
0233732
1782647
23853561
35001554

prune384.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.3b

regimes443.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03422
14222
24222

end0.0ms

sample4.1s

Algorithm
intervals
Results
2.1s4806×body1280valid
957.0ms3833×body640valid
294.0ms1894×body320valid
240.0ms4534×body80valid
105.0ms994×body160valid