Details

Time bar (total: 11.7s)

sample104.0ms

Algorithm
intervals
Results
25.0ms54×body1280valid
18.0ms301×body80nan
11.0ms172×body80valid
9.0ms14×body2560valid
8.0ms28×body640valid
3.0ms13×body320valid
1.0ms7×body160valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03310
15810
28210
39910
410710
510910
610910

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (* b 3.0))
0.2b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.4b
(/ (* z t) 3.0)
25.5b
(cos (- y (/ (* z t) 3.0)))

rewrite33.0ms

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:
5.0ms
(/ a (* b 3.0))
10.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
5.0ms
(/ (* z t) 3.0)
9.0ms
(cos (- y (/ (* z t) 3.0)))

series186.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ a (* b 3.0))
103.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
25.0ms
(/ (* z t) 3.0)
37.0ms
(cos (- y (/ (* z t) 3.0)))

simplify79.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06851511
123611261
250011258

prune525.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 17.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (* z t) 3.0)
0.4b
(/ (* z t) 3.0)
30.0b
(cos (/ (* z t) 3.0))
30.1b
(sin (- (/ (* z t) 3.0)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac associate-/r*
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l*
1×neg-sub0 sin-neg sin-diff
Counts
4 → 66
Calls
4 calls:
5.0ms
(/ (* z t) 3.0)
5.0ms
(/ (* z t) 3.0)
2.0ms
(cos (/ (* z t) 3.0))
3.0ms
(sin (- (/ (* z t) 3.0)))

series78.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ (* z t) 3.0)
19.0ms
(/ (* z t) 3.0)
11.0ms
(cos (/ (* z t) 3.0))
22.0ms
(sin (- (/ (* z t) 3.0)))

simplify77.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0164313
1641266
22865266
35001266

prune563.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 17.0b

localize34.0ms

Local error

Found 4 expressions with local error:

13.6b
(cbrt (/ (* z t) 3.0))
13.6b
(cbrt (/ (* z t) 3.0))
30.1b
(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
30.1b
(sin (- (/ (* 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
1×neg-sub0 sin-neg sin-diff
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt (/ (* z t) 3.0))
3.0ms
(cbrt (/ (* z t) 3.0))
4.0ms
(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
3.0ms
(sin (- (/ (* z t) 3.0)))

series306.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(cbrt (/ (* z t) 3.0))
108.0ms
(cbrt (/ (* z t) 3.0))
60.0ms
(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
28.0ms
(sin (- (/ (* z t) 3.0)))

simplify130.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
0165483
1339434
2821407
32654396
45001396

prune702.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 16.9b

localize37.0ms

Local error

Found 4 expressions with local error:

13.6b
(cbrt (/ (* z t) 3.0))
13.8b
(cbrt (* z t))
30.1b
(sin (- (/ (* z t) 3.0)))
30.2b
(cos (* (* (cbrt (/ (* z t) 3.0)) (/ (cbrt (* z t)) (cbrt 3.0))) (cbrt (/ (* z t) 3.0))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×times-frac
2×pow1/3
1×neg-sub0 cbrt-div sin-neg sin-diff div-inv
Counts
4 → 49
Calls
4 calls:
3.0ms
(cbrt (/ (* z t) 3.0))
3.0ms
(cbrt (* z t))
3.0ms
(sin (- (/ (* z t) 3.0)))
8.0ms
(cos (* (* (cbrt (/ (* z t) 3.0)) (/ (cbrt (* z t)) (cbrt 3.0))) (cbrt (/ (* z t) 3.0))))

series304.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(cbrt (/ (* z t) 3.0))
76.0ms
(cbrt (* z t))
21.0ms
(sin (- (/ (* z t) 3.0)))
101.0ms
(cos (* (* (cbrt (/ (* z t) 3.0)) (/ (cbrt (* z t)) (cbrt 3.0))) (cbrt (/ (* z t) 3.0))))

simplify59.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0199437
1437388
21349372
35002368

prune721.0ms

Pruning

38 alts after pruning (38 fresh and 0 done)

Merged error: 16.8b

regimes4.7s

Accuracy

48% (2.1b remaining)

Error of 17.6b against oracle of 15.5b and baseline of 19.6b

bsearch5.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06444
17944
27944

end0.0ms

sample2.9s

Algorithm
intervals
Results
668.0ms1553×body1280valid
555.0ms8985×body80nan
373.0ms5669×body80valid
284.0ms974×body640valid
255.0ms365×body2560valid
83.0ms381×body320valid
30.0ms205×body160valid