Details

Time bar (total: 8.7s)

sample100.0ms

Algorithm
intervals
Results
22.0ms58×body1280valid
20.0ms273×body80nan
10.0ms16×body2560valid
10.0ms167×body80valid
8.0ms31×body640valid
1.0ms8×body160valid
1.0ms5×body320valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03310
15810
28210
39910
410710
510910
610910

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.5b

localize17.0ms

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))))
0.2b
(/ a (* b 3.0))
21.5b
(cos (- y (/ (* z t) 3.0)))

rewrite44.0ms

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))
14.0ms
(cos (- y (/ (* z t) 3.0)))

series174.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (* z t) 3.0)
96.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
19.0ms
(/ a (* b 3.0))
37.0ms
(cos (- y (/ (* z t) 3.0)))

simplify77.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06851511
123611261
250011258

prune465.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 15.4b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin y) (sin (/ (* z t) 3.0)))
1.7b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
26.3b
(cos (/ (* z t) 3.0))
26.4b
(sin (/ (* z t) 3.0))

rewrite26.0ms

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:
6.0ms
(* (sin y) (sin (/ (* 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))

series175.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (sin y) (sin (/ (* z t) 3.0)))
100.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
10.0ms
(cos (/ (* z t) 3.0))
18.0ms
(sin (/ (* z t) 3.0))

simplify164.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0233598
1961490
24991488
35001488

prune453.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 15.4b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sin y) (sin (* 0.3333333333333333 (* t z))))
1.6b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
26.3b
(cos (/ (* z t) 3.0))
26.8b
(sin (* 0.3333333333333333 (* t z)))

rewrite45.0ms

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:
12.0ms
(* (sin y) (sin (* 0.3333333333333333 (* t z))))
26.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
1.0ms
(cos (/ (* z t) 3.0))
4.0ms
(sin (* 0.3333333333333333 (* t z)))

series167.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (sin y) (sin (* 0.3333333333333333 (* t z))))
95.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
10.0ms
(cos (/ (* z t) 3.0))
19.0ms
(sin (* 0.3333333333333333 (* t z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0230598
1962490
25001488

prune474.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 15.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
1.6b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
26.6b
(cos (* 0.3333333333333333 (* t z)))
26.8b
(sin (* 0.3333333333333333 (* t z)))

rewrite62.0ms

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:
26.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
26.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
4.0ms
(cos (* 0.3333333333333333 (* t z)))
4.0ms
(sin (* 0.3333333333333333 (* t z)))

series242.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
96.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
10.0ms
(cos (* 0.3333333333333333 (* t z)))
19.0ms
(sin (* 0.3333333333333333 (* t z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0352756
11530597
25002592

prune329.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 15.4b

regimes2.7s

Accuracy

54.2% (1.8b remaining)

Error of 17.8b against oracle of 16.0b and baseline of 19.9b

bsearch3.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05654
15854
25854

end0.0ms

sample2.8s

Algorithm
intervals
Results
645.0ms1642×body1280valid
589.0ms9032×body80nan
330.0ms5548×body80valid
248.0ms931×body640valid
230.0ms352×body2560valid
83.0ms406×body320valid
27.0ms197×body160valid