Details

Time bar (total: 10.0s)

sample109.0ms

Algorithm
intervals
Results
29.0ms77×body1280valid
18.0ms285×body80nan
9.0ms164×body80valid
8.0ms7×body2560valid
6.0ms22×body640valid
2.0ms8×body320valid
1.0ms6×body160valid

simplify20.0ms

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: 23.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.2b
(/ a (* b 3.0))
0.2b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
22.6b
(cos (- y (/ (* z t) 3.0)))

rewrite82.0ms

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:
10.0ms
(/ (* z t) 3.0)
8.0ms
(/ a (* b 3.0))
34.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
27.0ms
(cos (- y (/ (* z t) 3.0)))

series193.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (* z t) 3.0)
20.0ms
(/ a (* b 3.0))
110.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
44.0ms
(cos (- y (/ (* z t) 3.0)))

simplify71.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06851511
123611261
250011258

prune495.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 17.9b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (* b 3.0))
2.1b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
28.4b
(sin (/ (* z t) 3.0))
28.7b
(cos (/ (* z t) 3.0))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
16×pow1
9×prod-exp cbrt-unprod
8×pow-prod-down
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv div-exp
1×frac-2neg associate-*r/ associate-*r* associate-*l* clear-num associate-/r* *-commutative div-inv sin-mult
Counts
4 → 66
Calls
4 calls:
8.0ms
(/ a (* b 3.0))
44.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
4.0ms
(sin (/ (* z t) 3.0))
4.0ms
(cos (/ (* z t) 3.0))

series168.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ a (* b 3.0))
113.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
18.0ms
(sin (/ (* z t) 3.0))
12.0ms
(cos (/ (* z t) 3.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0315522
11163421
25001419

prune487.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 17.9b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (* b 3.0))
2.1b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
28.4b
(sin (/ (* z t) 3.0))
28.6b
(cos (* 0.3333333333333333 (* t z)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
16×pow1
9×prod-exp cbrt-unprod
8×pow-prod-down
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv div-exp
1×frac-2neg associate-*r/ associate-*r* associate-*l* clear-num associate-/r* *-commutative div-inv sin-mult
Counts
4 → 66
Calls
4 calls:
8.0ms
(/ a (* b 3.0))
44.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
4.0ms
(sin (/ (* z t) 3.0))
20.0ms
(cos (* 0.3333333333333333 (* t z)))

series165.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ a (* b 3.0))
113.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
18.0ms
(sin (/ (* z t) 3.0))
13.0ms
(cos (* 0.3333333333333333 (* t z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0314522
11160421
25001419

prune520.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 17.9b

localize28.0ms

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)))))
28.6b
(sin (* 0.3333333333333333 (* t z)))
28.6b
(cos (* 0.3333333333333333 (* t z)))

rewrite165.0ms

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:
35.0ms
(* (sin y) (sin (* 0.3333333333333333 (* t z))))
90.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
18.0ms
(sin (* 0.3333333333333333 (* t z)))
20.0ms
(cos (* 0.3333333333333333 (* t z)))

series199.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (sin y) (sin (* 0.3333333333333333 (* t z))))
113.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
19.0ms
(sin (* 0.3333333333333333 (* t z)))
13.0ms
(cos (* 0.3333333333333333 (* t z)))

simplify166.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0225598
1953490
24990488
35001488

prune334.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 17.9b

regimes3.3s

Accuracy

48% (2.0b remaining)

Error of 18.6b against oracle of 16.5b and baseline of 20.5b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05833
16033
26033

end0.0ms

sample3.2s

Algorithm
intervals
Results
607.0ms1552×body1280valid
605.0ms9232×body80nan
355.0ms5605×body80valid
281.0ms407×body2560valid
253.0ms947×body640valid
87.0ms451×body320valid
28.0ms202×body160valid