Details

Time bar (total: 6.4s)

sample154.0ms

Algorithm
intervals
Results
68.0ms154×body1280valid
34.0ms127×body640valid
11.0ms57×body320valid
11.0ms162×body80valid
3.0ms27×body160valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (14.0ms)

IterNodesCost
048511
148511

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 45.5b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
6.8b
(- (exp (neg im)) (exp im))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-sqr-sqrt *-un-lft-identity add-cbrt-cube
5×associate-*r*
4×add-log-exp
3×add-cube-cbrt sub-neg pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip-- distribute-lft-out-- difference-of-squares
1×diff-log associate-*l* *-commutative
Counts
2 → 40
Calls
2 calls:
12.0ms
(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
7.0ms
(- (exp (neg im)) (exp im))

series27.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
5.0ms
(- (exp (neg im)) (exp im))

simplify40.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05174502

prune75.0ms

Filtered
29 candidates to 46 candidates (-58.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New43346
Fresh000
Picked101
Done000
Total44347

Merged error: 0.1b

Counts
47 → 3

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
20×associate-*l*
18×add-exp-log
12×add-cbrt-cube
11×add-cube-cbrt *-un-lft-identity
9×associate-*r* prod-exp
8×pow1 unpow-prod-down
7×unswap-sqr
5×cbrt-unprod
4×cube-prod sqr-pow
3×pow-prod-down *-commutative add-log-exp
2×pow-to-exp associate-*r/ pow-exp
1×distribute-rgt-in cube-mult distribute-lft-in flip3-+ unpow3 flip-+
Counts
3 → 78
Calls
3 calls:
6.0ms
(* (pow im 5) -1/60)
11.0ms
(* (* 0.5 (sin re)) (+ (* im -2) (+ (* (pow im 5) -1/60) (* (pow im 3) -1/3))))
6.0ms
(* (pow im 3) -1/3)

series51.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* (pow im 5) -1/60)
42.0ms
(* (* 0.5 (sin re)) (+ (* im -2) (+ (* (pow im 5) -1/60) (* (pow im 3) -1/3))))
4.0ms
(* (pow im 3) -1/3)

simplify22.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
05141942

prune193.0ms

Filtered
58 candidates to 87 candidates (-50.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New80787
Fresh022
Picked101
Done000
Total81990

Merged error: 0.0b

Counts
90 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
25×add-exp-log
19×associate-*r* add-cbrt-cube
16×associate-*l*
15×pow1
14×add-cube-cbrt *-un-lft-identity
13×prod-exp
9×cbrt-unprod
8×unpow-prod-down unswap-sqr
7×pow-prod-down
4×cube-prod *-commutative add-log-exp sqr-pow
2×pow-to-exp associate-*r/ pow-exp
1×distribute-rgt-in cube-mult distribute-lft-in flip3-+ unpow3 flip-+
Counts
4 → 99
Calls
4 calls:
6.0ms
(* (pow im 5) -1/60)
7.0ms
(* im (* (* 0.5 (sin re)) -2))
8.0ms
(* (sin re) (+ (* -1/3 (pow im 3)) (* (pow im 5) -1/60)))
7.0ms
(* -1/3 (pow im 3))

series72.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (pow im 5) -1/60)
9.0ms
(* im (* (* 0.5 (sin re)) -2))
53.0ms
(* (sin re) (+ (* -1/3 (pow im 3)) (* (pow im 5) -1/60)))
4.0ms
(* -1/3 (pow im 3))

simplify34.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
049591002
149591002

prune222.0ms

Filtered
71 candidates to 111 candidates (-56.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1074111
Fresh358
Picked011
Done000
Total11010120

Merged error: 0.0b

Counts
120 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt im) (cbrt im))
0.6b
(cbrt im)
0.6b
(cbrt im)
0.6b
(cbrt im)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt im) (cbrt im))
1.0ms
(cbrt im)
1.0ms
(cbrt im)
1.0ms
(cbrt im)

series103.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (cbrt im) (cbrt im))
24.0ms
(cbrt im)
26.0ms
(cbrt im)
25.0ms
(cbrt im)

simplify63.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05837334

prune122.0ms

Filtered
52 candidates to 85 candidates (-63.5%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New81485
Fresh178
Picked011
Done011
Total821395

Merged error: 0.0b

Counts
95 → 13

regimes458.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02925
12925

end0.0ms

sample4.6s

Algorithm
intervals
Results
2.2s4760×body1280valid
1.1s3837×body640valid
352.0ms1856×body320valid
277.0ms4547×body80valid
126.0ms1025×body160valid

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