Details

Time bar (total: 10.5s)

sample106.0ms

Algorithm
intervals
Results
22.0ms277×body80nan
21.0ms53×body1280valid
11.0ms174×body80valid
11.0ms16×body2560valid
6.0ms22×body640valid
3.0ms15×body320valid
1.0ms8×body160valid

simplify23.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03310
15810
28210
39910
410710
510910
610910

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.2b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.3b
(/ a (* b 3.0))
28.0b
(cos (- y (/ (* z t) 3.0)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
23×cos-sum
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×prod-diff
19×add-exp-log add-cbrt-cube
15×times-frac
9×pow1
5×prod-exp cbrt-unprod div-inv
4×cbrt-undiv expm1-log1p-u div-exp associate-/r* log1p-expm1-u associate-/l* add-log-exp
3×cos-diff associate-*r* pow-prod-down
2×frac-2neg clear-num
1×distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative
Counts
4 → 101
Calls
4 calls:
3.0ms
(/ (* z t) 3.0)
20.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
3.0ms
(/ a (* b 3.0))
15.0ms
(cos (- y (/ (* z t) 3.0)))

series187.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (* z t) 3.0)
104.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
21.0ms
(/ a (* b 3.0))
38.0ms
(cos (- y (/ (* z t) 3.0)))

simplify82.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06851511
123611261
250011258

prune511.0ms

Filtered
113 candidates to 72 candidates (63.7%)
Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 18.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
1.4b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
31.4b
(cos (/ (* z t) 3.0))
31.8b
(sin (/ (* z t) 3.0))

rewrite36.0ms

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 expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
2×associate-*r/ associate-*r* associate-*l* *-commutative
1×cos-mult sin-mult
Counts
4 → 68
Calls
4 calls:
15.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
16.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
1.0ms
(cos (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))

series272.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
109.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
11.0ms
(cos (/ (* z t) 3.0))
18.0ms
(sin (/ (* z t) 3.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0362756
11523597
25002592

prune521.0ms

Filtered
80 candidates to 52 candidates (65.0%)
Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 17.9b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin y) (sin (* 0.3333333333333333 (* t z))))
1.4b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
30.9b
(sin (* 0.3333333333333333 (* t z)))
31.4b
(cos (/ (* z t) 3.0))

rewrite47.0ms

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×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×*-commutative sin-mult
1×associate-*r/ unswap-sqr
Counts
4 → 64
Calls
4 calls:
9.0ms
(* (sin y) (sin (* 0.3333333333333333 (* t z))))
29.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
4.0ms
(sin (* 0.3333333333333333 (* t z)))
2.0ms
(cos (/ (* z t) 3.0))

series189.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (sin y) (sin (* 0.3333333333333333 (* t z))))
106.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
18.0ms
(sin (* 0.3333333333333333 (* t z)))
12.0ms
(cos (/ (* z t) 3.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0230598
1964490
25001488

prune592.0ms

Filtered
76 candidates to 52 candidates (68.4%)
Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 17.9b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (cos (/ (* z t) 3.0)) 3)
1.4b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
30.9b
(sin (* 0.3333333333333333 (* t z)))
31.4b
(cos (/ (* z t) 3.0))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow cube-prod
1×cube-mult pow-to-exp pow-pow unpow3 associate-*r/ associate-*r* associate-*l* pow-exp *-commutative sin-mult rem-cube-cbrt sqr-pow
Counts
4 → 68
Calls
4 calls:
2.0ms
(pow (cos (/ (* z t) 3.0)) 3)
26.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
4.0ms
(sin (* 0.3333333333333333 (* t z)))
2.0ms
(cos (/ (* z t) 3.0))

series170.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(pow (cos (/ (* z t) 3.0)) 3)
109.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
23.0ms
(sin (* 0.3333333333333333 (* t z)))
12.0ms
(cos (/ (* z t) 3.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0276575
11134477
25001471

prune448.0ms

Filtered
80 candidates to 51 candidates (63.8%)
Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 17.9b

regimes3.8s

Accuracy

59.4% (1.6b remaining)

Error of 17.7b against oracle of 16.0b and baseline of 20.0b

bsearch4.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05956
16156
26156

end0.0ms

sample3.1s

Algorithm
intervals
Results
660.0ms1564×body1280valid
652.0ms9051×body80nan
372.0ms5599×body80valid
261.0ms910×body640valid
250.0ms363×body2560valid
105.0ms471×body320valid
32.0ms210×body160valid