Details

Time bar (total: 9.5s)

sample128.0ms

Algorithm
intervals
Results
27.0ms49×body1280valid
20.0ms250×body80nan
12.0ms15×body2560valid
12.0ms170×body80valid
11.0ms32×body640valid
3.0ms15×body320valid
1.0ms7×body160valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03210
15510
27610
38910
49210
59210

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.2b
(/ a (* b 3.0))
0.3b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
27.3b
(cos (- y (/ (* z t) 3.0)))

rewrite246.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
9×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-/r* associate-/l* add-log-exp
3×cos-diff associate-*r* pow-prod-down
2×cos-sum frac-2neg clear-num div-inv
1×distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative
Counts
4 → 72
Calls
4 calls:
196.0ms
(/ (* z t) 3.0)
7.0ms
(/ a (* b 3.0))
26.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
15.0ms
(cos (- y (/ (* z t) 3.0)))

series152.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ (* z t) 3.0)
17.0ms
(/ a (* b 3.0))
89.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
30.0ms
(cos (- y (/ (* z t) 3.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0404507
11689429
25001426

prune329.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 17.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
2.1b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
31.2b
(cos (/ (* z t) 3.0))
31.7b
(sin (/ (* z t) 3.0))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
28×pow1 add-exp-log add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
2×associate-*r/ associate-*r* associate-*l* *-commutative
1×cos-mult sin-mult
Counts
4 → 60
Calls
4 calls:
36.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
37.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
3.0ms
(cos (/ (* z t) 3.0))
6.0ms
(sin (/ (* z t) 3.0))

series207.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
85.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
8.0ms
(cos (/ (* z t) 3.0))
14.0ms
(sin (/ (* z t) 3.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0351704
11500545
25001540

prune360.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 17.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sin y) (sin (* 0.3333333333333333 (* t z))))
2.1b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
31.2b
(cos (/ (* z t) 3.0))
31.6b
(sin (* 0.3333333333333333 (* t z)))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×associate-*r* associate-*l* add-log-exp
2×*-commutative sin-mult
1×associate-*r/ unswap-sqr
Counts
4 → 56
Calls
4 calls:
31.0ms
(* (sin y) (sin (* 0.3333333333333333 (* t z))))
83.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
3.0ms
(cos (/ (* z t) 3.0))
16.0ms
(sin (* 0.3333333333333333 (* t z)))

series157.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (sin y) (sin (* 0.3333333333333333 (* t z))))
87.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
9.0ms
(cos (/ (* z t) 3.0))
15.0ms
(sin (* 0.3333333333333333 (* t z)))

simplify159.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0221552
1944444
24945442
35001442

prune403.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 17.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin y))
2.1b
(* (* 2.0 (sqrt x)) (* (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt (sin y)) (sin (* 0.3333333333333333 (* t z))))))
31.2b
(cos (/ (* z t) 3.0))
31.6b
(sin (* 0.3333333333333333 (* t z)))

rewrite236.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1 add-exp-log
33×add-cbrt-cube
31×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod
1×pow1/3 associate-*r* associate-*l* *-commutative
Counts
4 → 65
Calls
4 calls:
1.0ms
(cbrt (sin y))
212.0ms
(* (* 2.0 (sqrt x)) (* (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt (sin y)) (sin (* 0.3333333333333333 (* t z))))))
3.0ms
(cos (/ (* z t) 3.0))
16.0ms
(sin (* 0.3333333333333333 (* t z)))

series201.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(cbrt (sin y))
86.0ms
(* (* 2.0 (sqrt x)) (* (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt (sin y)) (sin (* 0.3333333333333333 (* t z))))))
9.0ms
(cos (/ (* z t) 3.0))
15.0ms
(sin (* 0.3333333333333333 (* t z)))

simplify63.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
03631032
11667694
25001599

prune288.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 17.1b

regimes3.1s

Accuracy

50.2% (2.0b remaining)

Error of 18.1b against oracle of 16.1b and baseline of 20.1b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05654
15854
25854

end0.0ms

sample3.1s

Algorithm
intervals
Results
590.0ms9214×body80nan
581.0ms1551×body1280valid
336.0ms5646×body80valid
243.0ms382×body2560valid
242.0ms956×body640valid
82.0ms450×body320valid
25.0ms191×body160valid