Details

Time bar (total: 4.5s)

sample308.0ms

Algorithm
intervals
Results
25.0ms55×body1280valid
10.0ms34×body640valid
9.0ms136×body80valid
5.0ms256×pre80true
3.0ms16×body320valid
2.0ms15×body160valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0146
1205
2235
3245
4245

prune11.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
0.1b
(* e (cos v))
0.1b
(* e (sin v))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×add-exp-log add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×pow1
6×associate-*r* associate-*l*
3×expm1-log1p-u times-frac prod-exp associate-/r* cbrt-unprod log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp pow-prod-down associate-/r/ *-commutative unswap-sqr
1×frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l*
Counts
3 → 65
Calls
3 calls:
20.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
5.0ms
(* e (cos v))
7.0ms
(* e (sin v))

series176.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
37.0ms
(* e (cos v))
48.0ms
(* e (sin v))

simplify50.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0303422
11415368
25001362

prune167.0ms

Filtered
74 candidates to 54 candidates (73.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New67774
Fresh011
Picked101
Done000
Total68876

Merged error: 0.0b

Counts
76 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* e (cos v))
0.1b
(* e (cos v))
0.1b
(* e (cos v))
0.1b
(* (/ e (* (cbrt (+ 1.0 (* e (cos v)))) (cbrt (+ 1.0 (* e (cos v)))))) (/ (sin v) (cbrt (+ 1.0 (* e (cos v))))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
33×associate-*r*
31×add-exp-log
28×times-frac
25×add-cube-cbrt *-un-lft-identity
24×associate-*l* add-cbrt-cube
14×cbrt-div
12×pow1
11×cbrt-prod prod-exp cbrt-unprod
10×associate-/r/
9×unswap-sqr
7×cbrt-undiv flip3-+ div-exp flip-+
5×frac-times
4×expm1-log1p-u pow-prod-down *-commutative log1p-expm1-u add-log-exp
3×associate-*r/ associate-*l/
2×div-inv
Counts
4 → 131
Calls
4 calls:
4.0ms
(* e (cos v))
7.0ms
(* e (cos v))
4.0ms
(* e (cos v))
22.0ms
(* (/ e (* (cbrt (+ 1.0 (* e (cos v)))) (cbrt (+ 1.0 (* e (cos v)))))) (/ (sin v) (cbrt (+ 1.0 (* e (cos v))))))

series199.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* e (cos v))
35.0ms
(* e (cos v))
36.0ms
(* e (cos v))
89.0ms
(* (/ e (* (cbrt (+ 1.0 (* e (cos v)))) (cbrt (+ 1.0 (* e (cos v)))))) (/ (sin v) (cbrt (+ 1.0 (* e (cos v))))))

simplify84.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
06101770
129751556
250011449

prune369.0ms

Filtered
143 candidates to 104 candidates (72.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1421143
Fresh167
Picked011
Done000
Total1438151

Merged error: 0.0b

Counts
151 → 8

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (fma (cos v) e 1.0) e)
0.3b
(/ (sin v) (/ (fma (cos v) e 1.0) e))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 101
Calls
2 calls:
3.0ms
(/ (fma (cos v) e 1.0) e)
8.0ms
(/ (sin v) (/ (fma (cos v) e 1.0) e))

series139.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ (fma (cos v) e 1.0) e)
82.0ms
(/ (sin v) (/ (fma (cos v) e 1.0) e))

simplify57.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04361039
11847982
25001979

prune273.0ms

Filtered
107 candidates to 88 candidates (82.2%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1043107
Fresh246
Picked011
Done011
Total1069115

Merged error: 0.0b

Counts
115 → 9

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b
(* e (cos v))
0.1b
(/ (+ 1.0 (* e (cos v))) (sin v))
0.2b
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
57×add-sqr-sqrt
55×add-cube-cbrt *-un-lft-identity
16×associate-/r*
12×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×pow1
4×cbrt-undiv div-exp
3×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/l/
1×flip3-+ pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
3 → 123
Calls
3 calls:
4.0ms
(* e (cos v))
5.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
7.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series194.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(* e (cos v))
67.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
88.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify68.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05301326
123771222
250011212

prune296.0ms

Filtered
132 candidates to 110 candidates (83.3%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1320132
Fresh066
Picked011
Done022
Total1329141

Merged error: 0.0b

Counts
141 → 9

regimes75.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01517
11517

end0.0ms

sample1.8s

Algorithm
intervals
Results
700.0ms1517×body1280valid
364.0ms1263×body640valid
261.0ms4246×body80valid
151.0ms8000×pre80true
124.0ms633×body320valid
46.0ms341×body160valid