Details

Time bar (total: 4.7s)

sample366.0ms

Algorithm
intervals
Results
22.0ms48×body1280valid
13.0ms49×body640valid
8.0ms128×body80valid
4.0ms256×pre80true
3.0ms17×body320valid
2.0ms14×body160valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0146
1205
2235
3245
4245

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

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:
16.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
10.0ms
(* e (sin v))
11.0ms
(* e (cos v))

series163.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
35.0ms
(* e (sin v))
48.0ms
(* e (cos v))

simplify43.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0303422
11415368
25001362

prune188.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(* e (cos v))
0.1b
(* e (sin v))
0.1b
(* (* e (cos v)) (* e (cos v)))
0.2b
(pow (* e (cos v)) 3)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
50×pow1
23×add-exp-log add-cbrt-cube
20×pow-prod-down
13×add-sqr-sqrt
11×prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
7×associate-*r* associate-*l*
4×expm1-log1p-u pow-sqr pow-prod-up log1p-expm1-u add-log-exp
3×pow-unpow *-commutative
2×pow-pow pow-plus pow-exp rem-cube-cbrt unswap-sqr
1×pow2 cube-mult pow-to-exp unpow-prod-down unpow3 cube-prod swap-sqr sqr-pow
Counts
4 → 100
Calls
4 calls:
9.0ms
(* e (cos v))
12.0ms
(* e (sin v))
33.0ms
(* (* e (cos v)) (* e (cos v)))
7.0ms
(pow (* e (cos v)) 3)

series179.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* e (cos v))
34.0ms
(* e (sin v))
52.0ms
(* (* e (cos v)) (* e (cos v)))
58.0ms
(pow (* e (cos v)) 3)

simplify51.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0257356
11284333
25001331

prune308.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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))))))

rewrite115.0ms

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:
9.0ms
(* e (cos v))
9.0ms
(* e (cos v))
9.0ms
(* e (cos v))
83.0ms
(* (/ e (* (cbrt (+ 1.0 (* e (cos v)))) (cbrt (+ 1.0 (* e (cos v)))))) (/ (sin v) (cbrt (+ 1.0 (* e (cos v))))))

series180.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* e (cos v))
32.0ms
(* e (cos v))
35.0ms
(* e (cos v))
82.0ms
(* (/ e (* (cbrt (+ 1.0 (* e (cos v)))) (cbrt (+ 1.0 (* e (cos v)))))) (/ (sin v) (cbrt (+ 1.0 (* e (cos v))))))

simplify86.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
06101770
129751556
250011449

prune441.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite54.0ms

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:
9.0ms
(* e (cos v))
24.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
17.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series177.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(* e (cos v))
65.0ms
(/ (+ 1.0 (* e (cos v))) (sin v))
80.0ms
(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify66.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05301326
123771222
250011212

prune343.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01517
11517

end0.0ms

sample1.7s

Algorithm
intervals
Results
666.0ms1596×body1280valid
326.0ms1262×body640valid
224.0ms4179×body80valid
111.0ms643×body320valid
101.0ms8000×pre80true
38.0ms320×body160valid