Details

Time bar (total: 6.8s)

sample136.0ms

Algorithm
intervals
Results
73.0ms56×body2560valid
34.0ms80×body1280valid
13.0ms54×body640valid
4.0ms25×body320valid
2.0ms22×body160valid
1.0ms19×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1144
2164
3164

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 29.6b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (- 1.0 (cos x)) (sin x))
2.1b
(- 1.0 (cos x))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l* distribute-lft-out-- difference-of-squares
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r*
2×pow1 flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 52
Calls
2 calls:
6.0ms
(/ (- 1.0 (cos x)) (sin x))
4.0ms
(- 1.0 (cos x))

series61.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (- 1.0 (cos x)) (sin x))
19.0ms
(- 1.0 (cos x))

simplify82.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0233396
1673373
22640373
35002373

prune155.0ms

Filtered
58 candidates to 42 candidates (72.4%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New421658
Fresh000
Picked101
Done000
Total431659

Merged error: 0.2b

Counts
59 → 16

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (exp (log (- 1.0 (cos x)))) (sin x))
0.2b
(exp (log (- 1.0 (cos x))))
0.3b
(log (- 1.0 (cos x)))
2.1b
(- 1.0 (cos x))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
30×log-prod
25×exp-sum
24×add-cube-cbrt times-frac
8×associate-/l*
7×distribute-lft-out-- difference-of-squares
6×pow1 add-exp-log log-div add-cbrt-cube add-log-exp
4×exp-prod flip3-- exp-diff flip--
3×associate-/r*
2×log-pow associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp rem-log-exp clear-num div-inv rem-exp-log
Counts
4 → 98
Calls
4 calls:
8.0ms
(/ (exp (log (- 1.0 (cos x)))) (sin x))
4.0ms
(exp (log (- 1.0 (cos x))))
3.0ms
(log (- 1.0 (cos x)))
4.0ms
(- 1.0 (cos x))

series146.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ (exp (log (- 1.0 (cos x)))) (sin x))
18.0ms
(exp (log (- 1.0 (cos x))))
75.0ms
(log (- 1.0 (cos x)))
19.0ms
(- 1.0 (cos x))

simplify88.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0289829
1791761
22667734
35001708

prune209.0ms

Filtered
110 candidates to 65 candidates (59.1%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New1055110
Fresh41115
Picked101
Done000
Total11016126

Merged error: 0.2b

Counts
126 → 16

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (- 1.0 (cos x)) (sin x))
0.2b
(exp (/ (- 1.0 (cos x)) (sin x)))
1.1b
(log (exp (/ (- 1.0 (cos x)) (sin x))))
2.1b
(- 1.0 (cos x))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt *-un-lft-identity
45×times-frac
38×exp-prod
33×add-cube-cbrt
20×log-pow
11×distribute-lft-out-- difference-of-squares
7×add-log-exp
6×add-exp-log add-cbrt-cube
5×pow1 associate-/l*
3×log-prod div-sub associate-/r* div-inv
2×flip3-- exp-diff flip-- associate-/l/
1×cbrt-undiv sub-neg log-div frac-2neg diff-log div-exp rem-log-exp clear-num rem-exp-log
Counts
4 → 112
Calls
4 calls:
6.0ms
(/ (- 1.0 (cos x)) (sin x))
6.0ms
(exp (/ (- 1.0 (cos x)) (sin x)))
7.0ms
(log (exp (/ (- 1.0 (cos x)) (sin x))))
4.0ms
(- 1.0 (cos x))

series136.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ (- 1.0 (cos x)) (sin x))
40.0ms
(exp (/ (- 1.0 (cos x)) (sin x)))
38.0ms
(log (exp (/ (- 1.0 (cos x)) (sin x))))
18.0ms
(- 1.0 (cos x))

simplify90.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0303818
1799768
22970766
35001766

prune280.0ms

Filtered
124 candidates to 89 candidates (71.8%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New1204124
Fresh21315
Picked101
Done000
Total12317140

Merged error: 0.2b

Counts
140 → 17

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (pow E (log (- 1.0 (cos x)))) (sin x))
0.3b
(log (- 1.0 (cos x)))
0.3b
(pow E (log (- 1.0 (cos x))))
2.1b
(- 1.0 (cos x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt *-un-lft-identity
36×times-frac
33×add-cube-cbrt
30×log-prod
25×unpow-prod-up
15×unpow-prod-down
12×add-exp-log associate-/l*
7×pow1 distribute-lft-out-- difference-of-squares
6×log-div add-cbrt-cube add-log-exp
5×sqr-pow
4×pow-unpow flip3-- div-exp pow-exp flip-- pow-sub
3×associate-/r*
2×pow-to-exp e-exp-1 log-pow associate-/l/
1×cbrt-undiv sub-neg pow-pow frac-2neg diff-log rem-log-exp clear-num div-inv
Counts
4 → 124
Calls
4 calls:
9.0ms
(/ (pow E (log (- 1.0 (cos x)))) (sin x))
3.0ms
(log (- 1.0 (cos x)))
5.0ms
(pow E (log (- 1.0 (cos x))))
4.0ms
(- 1.0 (cos x))

series526.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(/ (pow E (log (- 1.0 (cos x)))) (sin x))
78.0ms
(log (- 1.0 (cos x)))
207.0ms
(pow E (log (- 1.0 (cos x))))
18.0ms
(- 1.0 (cos x))

simplify49.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04101229
114491100
250011062

prune259.0ms

Filtered
136 candidates to 93 candidates (68.4%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1351136
Fresh01616
Picked011
Done000
Total13518153

Merged error: 0.2b

Counts
153 → 18

regimes180.0ms

Accuracy

98.6% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 30.3b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03926
13926

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.1s1626×body2560valid
1.2s2695×body1280valid
454.0ms1880×body640valid
170.0ms965×body320valid
57.0ms480×body160valid
25.0ms350×body80valid
13.0ms4×body5120valid

Profiling

Loading profile data...