Details

Time bar (total: 2.0s)

sample32.0ms

Algorithm
intervals
Results
10.0ms337×body80valid

simplify106.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1284
2484
3794
41214
51494
62184
73204
83964
95994
108934
1112674
1223334
1335874
1450024

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.8b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
8.0b
(/ (* (- 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
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv flip3-- 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 → 57
Calls
3 calls:
4.0ms
(+ x (/ (* (- y x) z) t))
6.0ms
(* (- y x) z)
6.0ms
(/ (* (- y x) z) t)

series32.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ x (/ (* (- y x) z) t))
6.0ms
(* (- y x) z)
12.0ms
(/ (* (- y x) z) t)

simplify33.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0283314
11117267
25001267

prune81.0ms

Filtered
45 candidates to 66 candidates (-46.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New60666
Fresh000
Picked011
Done000
Total60767

Merged error: 0.0b

Counts
67 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
6.1b
(/ (- y x) (/ t z))

rewrite32.0ms

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*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
19.0ms
(+ x (/ (- y x) (/ t z)))
8.0ms
(/ (- y x) (/ t z))

series23.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ x (/ (- y x) (/ t z)))
12.0ms
(/ (- y x) (/ t z))

simplify54.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0609959
12199914
25001913

prune106.0ms

Filtered
85 candidates to 120 candidates (-41.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1182120
Fresh235
Picked011
Done101
Total1216127

Merged error: 0b

Counts
127 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
5.8b
(* (- y x) (/ z t))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
3.0ms
(+ x (* (- y x) (/ z t)))
9.0ms
(* (- y x) (/ z t))

series25.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(+ x (* (- y x) (/ z t)))
12.0ms
(* (- y x) (/ z t))

simplify34.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0296310
11245287
25001275

prune54.0ms

Filtered
37 candidates to 55 candidates (-48.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New55055
Fresh044
Picked011
Done011
Total55661

Merged error: 0b

Counts
61 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
3.6b
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
30×times-frac
25×add-exp-log
24×*-un-lft-identity
22×add-cube-cbrt associate-*r*
20×cbrt-prod
18×add-cbrt-cube
9×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
16.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series85.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt t)
22.0ms
(cbrt t)
24.0ms
(cbrt t)
17.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify53.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0475857
12098748
25002689

prune87.0ms

Filtered
80 candidates to 106 candidates (-32.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1060106
Fresh033
Picked011
Done022
Total1066112

Merged error: 0b

Counts
112 → 6

regimes263.0ms

Accuracy

9.4% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.8b

bsearch44.0ms

Steps
ItersRangePoint
8
-1.887677996654915e-232
-1.643120233858976e-236
-1.2415419068169553e-234
9
-2.36952272225594e-62
-1.0875561185019415e-69
-4.815017944234751e-64

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02817
12817

end0.0ms

sample737.0ms

Algorithm
intervals
Results
341.0ms10672×body80valid

Profiling

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