Details

Time bar (total: 6.5s)

sample148.0ms

Algorithm
intervals
Results
76.0ms58×body2560valid
42.0ms90×body1280valid
12.0ms50×body640valid
5.0ms31×body320valid
3.0ms12×body80valid
2.0ms15×body160valid

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: 31.6b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (- 1.0 (cos x)) (sin x))
1.8b
(- 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))

simplify81.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0233396
1673373
22640373
35002373

prune149.0ms

Filtered
58 candidates to 42 candidates (72.4%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New451358
Fresh000
Picked101
Done000
Total461359

Merged error: 0.2b

Counts
59 → 13

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 1/240 (pow x 5)) (* 1/2 x))
0.0b
(* 1/240 (pow x 5))
0.1b
(* 1/24 (pow x 3))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
19×associate-*r*
13×add-exp-log
10×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down
7×add-cbrt-cube unswap-sqr
6×associate-*l* prod-exp
5×add-log-exp
4×cube-prod sqr-pow
3×pow1
2×pow-to-exp pow-exp *-commutative cbrt-unprod
1×+-commutative cube-mult flip3-+ unpow3 sum-log flip-+
Counts
3 → 67
Calls
3 calls:
4.0ms
(+ (* 1/240 (pow x 5)) (* 1/2 x))
5.0ms
(* 1/240 (pow x 5))
6.0ms
(* 1/24 (pow x 3))

series217.0ms

Counts
3 → 9
Calls
3 calls:
130.0ms
(+ (* 1/240 (pow x 5)) (* 1/2 x))
51.0ms
(* 1/240 (pow x 5))
36.0ms
(* 1/24 (pow x 3))

simplify45.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0282301
11180276
25002275

prune155.0ms

Filtered
76 candidates to 48 candidates (63.2%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh01212
Picked011
Done000
Total761389

Merged error: 0.2b

Counts
89 → 13

localize11.0ms

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)))
1.8b
(- 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))

series153.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ (exp (log (- 1.0 (cos x)))) (sin x))
24.0ms
(exp (log (- 1.0 (cos x))))
76.0ms
(log (- 1.0 (cos x)))
19.0ms
(- 1.0 (cos x))

simplify85.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
0289829
1791761
22667734
35001708

prune221.0ms

Filtered
110 candidates to 69 candidates (62.7%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1037110
Fresh5611
Picked101
Done011
Total10914123

Merged error: 0.2b

Counts
123 → 14

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)))
1.0b
(log (exp (/ (- 1.0 (cos x)) (sin x))))
1.8b
(- 1.0 (cos x))

rewrite31.0ms

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:
7.0ms
(/ (- 1.0 (cos x)) (sin x))
10.0ms
(exp (/ (- 1.0 (cos x)) (sin x)))
7.0ms
(log (exp (/ (- 1.0 (cos x)) (sin x))))
4.0ms
(- 1.0 (cos x))

series135.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ (- 1.0 (cos x)) (sin x))
47.0ms
(exp (/ (- 1.0 (cos x)) (sin x)))
34.0ms
(log (exp (/ (- 1.0 (cos x)) (sin x))))
19.0ms
(- 1.0 (cos x))

simplify92.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0303818
1799768
22970766
35001766

prune253.0ms

Filtered
124 candidates to 90 candidates (72.6%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1177124
Fresh5712
Picked101
Done011
Total12315138

Merged error: 0.1b

Counts
138 → 15

regimes165.0ms

Accuracy

99% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 32.3b

bsearch88.0ms

Steps
ItersRangePoint
9
0.004314681149180372
39972.03059165128
0.01951630307663353
9
-2.6022242175013632
-1.4174312616962401e-08
-0.023096900034468588

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04830
14830

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.1s1597×body2560valid
1.3s2793×body1280valid
435.0ms1822×body640valid
150.0ms921×body320valid
68.0ms512×body160valid
24.0ms348×body80valid
21.0ms7×body5120valid

Profiling

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