Details

Time bar (total: 10.5s)

sample112.0ms

Algorithm
intervals
Results
25.0ms331×body80nan
20.0ms49×body1280valid
11.0ms40×body640valid
11.0ms176×body80valid
10.0ms14×body2560valid
2.0ms12×body320valid
2.0ms10×body160valid

simplify21.0ms

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: 24.6b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (* b 3.0))
0.2b
(/ (* z t) 3.0)
0.2b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
29.4b
(cos (- y (/ (* z t) 3.0)))

rewrite39.0ms

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
(/ a (* b 3.0))
3.0ms
(/ (* z t) 3.0)
15.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
14.0ms
(cos (- y (/ (* z t) 3.0)))

series184.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ a (* b 3.0))
23.0ms
(/ (* z t) 3.0)
104.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
37.0ms
(cos (- y (/ (* z t) 3.0)))

simplify78.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06851511
123611261
250011258

prune478.0ms

Filtered
113 candidates to 72 candidates (63.7%)
Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 18.7b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
1.7b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
34.6b
(sin (/ (* z t) 3.0))
34.7b
(cos (/ (* z t) 3.0))

rewrite26.0ms

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-/r*
2×cbrt-undiv div-exp
1×frac-2neg associate-*r/ associate-*r* associate-*l* clear-num *-commutative div-inv sin-mult associate-/l*
Counts
4 → 66
Calls
4 calls:
3.0ms
(/ (* z t) 3.0)
16.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
2.0ms
(sin (/ (* z t) 3.0))
2.0ms
(cos (/ (* z t) 3.0))

series162.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (* z t) 3.0)
108.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
17.0ms
(sin (/ (* z t) 3.0))
12.0ms
(cos (/ (* z t) 3.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0311521
11304420
25001418

prune517.0ms

Filtered
78 candidates to 55 candidates (70.5%)
Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 18.6b

localize37.0ms

Local error

Found 4 expressions with local error:

14.3b
(cbrt (/ (* z t) 3.0))
14.3b
(cbrt (/ (* z t) 3.0))
34.7b
(cos (/ (* z t) 3.0))
34.8b
(sin (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×cbrt-div pow1/3 div-inv
Counts
4 → 54
Calls
4 calls:
2.0ms
(cbrt (/ (* z t) 3.0))
2.0ms
(cbrt (/ (* z t) 3.0))
1.0ms
(cos (/ (* z t) 3.0))
9.0ms
(sin (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))

series330.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(cbrt (/ (* z t) 3.0))
107.0ms
(cbrt (/ (* z t) 3.0))
10.0ms
(cos (/ (* z t) 3.0))
78.0ms
(sin (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))

simplify200.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 4 (53.0ms)

IterNodesCost
0141462
1265416
2579400
31464396
44795384
55001384

prune633.0ms

Filtered
66 candidates to 58 candidates (87.9%)
Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 18.5b

localize40.0ms

Local error

Found 4 expressions with local error:

14.3b
(cbrt (/ (* z t) 3.0))
14.3b
(cbrt (/ (* z t) 3.0))
34.7b
(cos (/ (* z t) 3.0))
34.8b
(sin (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×cbrt-div pow1/3 div-inv
Counts
4 → 54
Calls
4 calls:
2.0ms
(cbrt (/ (* z t) 3.0))
2.0ms
(cbrt (/ (* z t) 3.0))
1.0ms
(cos (/ (* z t) 3.0))
9.0ms
(sin (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))

series303.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(cbrt (/ (* z t) 3.0))
107.0ms
(cbrt (/ (* z t) 3.0))
17.0ms
(cos (/ (* z t) 3.0))
71.0ms
(sin (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))

simplify205.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 4 (53.0ms)

IterNodesCost
0141462
1265416
2579400
31464396
44795384
55001384

prune511.0ms

Filtered
66 candidates to 58 candidates (87.9%)
Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 18.5b

regimes3.5s

Accuracy

54.2% (1.9b remaining)

Error of 17.7b against oracle of 15.9b and baseline of 19.9b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06353
16353

end0.0ms

sample3.0s

Algorithm
intervals
Results
631.0ms1547×body1280valid
628.0ms9069×body80nan
360.0ms5685×body80valid
277.0ms963×body640valid
261.0ms375×body2560valid
83.0ms394×body320valid
31.0ms215×body160valid