Details

Time bar (total: 2.7s)

sample20.0ms

Algorithm
intervals
Results
9.0ms354×body80valid

simplify122.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1314
2574
3914
41174
51364
61584
72124
84214
98804
1017524
1130214
1245414
1350014

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
6.3b
(* (/ x y) (- z t))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+l+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
8.0ms
(+ (* (/ x y) (- z t)) t)
9.0ms
(* (/ x y) (- z t))

series86.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (* (/ x y) (- z t)) t)
50.0ms
(* (/ x y) (- z t))

simplify35.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0314342
11191302
25002302

prune114.0ms

Filtered
63 candidates to 43 candidates (68.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New58563
Fresh000
Picked011
Done000
Total58664

Merged error: 0.0b

Counts
64 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
1.7b
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
4.8b
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
136×cbrt-div
98×frac-times
68×flip3-- flip--
50×associate-*r/
37×associate-*l/
34×add-exp-log
24×add-sqr-sqrt
21×*-un-lft-identity add-cbrt-cube
18×pow1
17×prod-exp cbrt-unprod
15×cbrt-prod add-cube-cbrt
14×associate-*l*
10×times-frac
9×associate-*r* pow-prod-down
4×cbrt-undiv div-exp add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 164
Calls
4 calls:
3.0ms
(cbrt (- z t))
6.0ms
(cbrt (- z t))
22.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
15.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series444.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (- z t))
157.0ms
(cbrt (- z t))
48.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
93.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify79.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
08202292
126302077
250012021

prune367.0ms

Filtered
176 candidates to 105 candidates (59.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1751176
Fresh044
Picked011
Done011
Total1757182

Merged error: 0.0b

Counts
182 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) y)
0.0b
(+ (* x (/ (- z t) y)) t)
6.8b
(* x (/ (- z t) y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
6.0ms
(/ (- z t) y)
7.0ms
(+ (* x (/ (- z t) y)) t)
10.0ms
(* x (/ (- z t) y))

series105.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (- z t) y)
32.0ms
(+ (* x (/ (- z t) y)) t)
49.0ms
(* x (/ (- z t) y))

simplify43.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0342501
11379468
25002456

prune156.0ms

Filtered
96 candidates to 65 candidates (67.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New95196
Fresh224
Picked011
Done022
Total976103

Merged error: 0.0b

Counts
103 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (- z t))
0.0b
(+ (/ (* x (- z t)) y) t)
7.7b
(/ (* x (- z t)) y)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
6.0ms
(* x (- z t))
8.0ms
(+ (/ (* x (- z t)) y) t)
7.0ms
(/ (* x (- z t)) y)

series117.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* x (- z t))
32.0ms
(+ (/ (* x (- z t)) y) t)
48.0ms
(/ (* x (- z t)) y)

simplify37.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0288331
11163295
25001283

prune96.0ms

Filtered
70 candidates to 44 candidates (62.9%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New70070
Fresh022
Picked011
Done033
Total70676

Merged error: 0.0b

Counts
76 → 6

regimes156.0ms

Accuracy

-5.1% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.0b

bsearch43.0ms

Steps
ItersRangePoint
3
5.197691925046148e-136
6.394080706409866e-136
5.27246622388138e-136
8
-7.628811427089696e-231
-3.38612525643795e-235
-2.1279884135771335e-231

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0248
1248

end0.0ms

sample519.0ms

Algorithm
intervals
Results
264.0ms10675×body80valid