Details

Time bar (total: 3.7s)

sample22.0ms

Algorithm
intervals
Results
10.0ms345×body80valid

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1284
2484
3794
41214
51494
62184
73204
83964
95994
108934
1112784
1221734
1337544
1450014

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: 7.8b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) z)
0.0b
(+ x (/ (* (- y x) z) t))
7.9b
(/ (* (- y x) z) t)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
add-cube-cbrt
pow1 associate-*l* add-log-exp
associate-*l/
times-frac associate-*r* associate-/r*
cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
+-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 → 57
Calls
3 calls:
6.0ms
(* (- y x) z)
4.0ms
(+ x (/ (* (- y x) z) t))
7.0ms
(/ (* (- y x) z) t)

series103.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(* (- y x) z)
37.0ms
(+ x (/ (* (- y x) z) t))
39.0ms
(/ (* (- y x) z) t)

simplify33.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0283314
11117267
25001267

prune119.0ms

Filtered
66 candidates to 45 candidates (68.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New61566
Fresh000
Picked101
Done000
Total62567

Merged error: 0.0b

Counts
67 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
add-exp-log add-cbrt-cube div-inv
associate-/l*
add-log-exp
cbrt-undiv div-exp
pow1 div-sub associate-/l/
+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
18.0ms
(+ x (/ (- y x) (/ t z)))
8.0ms
(/ (- y x) (/ t z))

series73.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ x (/ (- y x) (/ t z)))
41.0ms
(/ (- y x) (/ t z))

simplify61.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0609959
12199914
25001913

prune219.0ms

Filtered
120 candidates to 85 candidates (70.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1173120
Fresh224
Picked011
Done000
Total1196125

Merged error: 0.0b

Counts
125 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y x))
0.5b
(cbrt (- y x))
2.1b
(/ (cbrt (- y x)) (/ t z))
4.5b
(* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ t z)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
367×times-frac
249×add-sqr-sqrt
238×*-un-lft-identity
180×add-cube-cbrt
147×cbrt-prod
109×associate-*r*
30×add-exp-log cbrt-div
29×distribute-lft-out-- difference-of-squares
19×div-inv
18×add-cbrt-cube
16×frac-times
15×flip3-- flip--
13×associate-/r*
12×associate-*l/
pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
associate-/l*
associate-*r/ unswap-sqr
add-log-exp
pow-prod-down
pow1/3 associate-/r/ associate-/l/
frac-2neg associate-*l* clear-num *-commutative
Counts
4 → 326
Calls
4 calls:
3.0ms
(cbrt (- y x))
3.0ms
(cbrt (- y x))
10.0ms
(/ (cbrt (- y x)) (/ t z))
39.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ t z)))

series657.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (- y x))
139.0ms
(cbrt (- y x))
326.0ms
(/ (cbrt (- y x)) (/ t z))
49.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ t z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
338 → 338
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013593804
150013669

prune857.0ms

Filtered
338 candidates to 268 candidates (79.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3380338
Fresh044
Picked011
Done011
Total3386344

Merged error: 0.0b

Counts
344 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (/ (- y x) t) z))
0.0b
(/ (- y x) t)
6.6b
(* (/ (- y x) t) z)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*l*
10×add-exp-log add-cbrt-cube
distribute-lft-out-- difference-of-squares
pow1 associate-/l* add-log-exp
associate-*r* associate-/r*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
+-commutative flip3-- frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
3.0ms
(+ x (* (/ (- y x) t) z))
6.0ms
(/ (- y x) t)
8.0ms
(* (/ (- y x) t) z)

series108.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ x (* (/ (- y x) t) z))
25.0ms
(/ (- y x) t)
46.0ms
(* (/ (- y x) t) z)

simplify39.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0347496
11161462
25001450

prune148.0ms

Filtered
96 candidates to 67 candidates (69.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh033
Picked011
Done022
Total966102

Merged error: 0.0b

Counts
102 → 6

regimes103.0ms

Accuracy

4.7% (2.0b remaining)

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

bsearch77.0ms

Steps
ItersRangePoint
11
5.564871720677699e+225
1.799957306958933e+249
1.9511679151316646e+237
4
2.416860473021773e-81
3.638190877391266e-81
3.600024302254719e-81

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0238
1238

end0.0ms

sample740.0ms

Algorithm
intervals
Results
463.0ms10645×body80valid

Profiling

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