Details

Time bar (total: 2.2s)

sample29.0ms

Algorithm
intervals
Results
11.0ms360×body80valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
05819
15819

prune12.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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))

series22.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (* (/ x y) (- z t)) t)
12.0ms
(* (/ x y) (- z t))

simplify28.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
05446619

prune80.0ms

Filtered
45 candidates to 63 candidates (-40.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New57663
Fresh011
Picked011
Done000
Total57865

Merged error: 0.0b

Counts
65 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

1.4b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (- z t) (cbrt (/ x y))))
10.7b
(cbrt (/ x y))
10.7b
(cbrt (/ x y))
10.7b
(cbrt (/ x y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod cbrt-div
29×frac-times
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×associate-*l/
16×pow1 add-exp-log
15×associate-*r/
10×add-cbrt-cube
8×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
4×add-log-exp
3×pow1/3 div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 111
Calls
4 calls:
17.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (- z t) (cbrt (/ x y))))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series52.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (- z t) (cbrt (/ x y))))
15.0ms
(cbrt (/ x y))
12.0ms
(cbrt (/ x y))
13.0ms
(cbrt (/ x y))

simplify59.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
050131319

prune119.0ms

Filtered
86 candidates to 123 candidates (-43.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1212123
Fresh156
Picked101
Done011
Total1238131

Merged error: 0.0b

Counts
131 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
1.4b
(* (* (cbrt (/ x y)) (/ (cbrt x) (cbrt y))) (* (- z t) (cbrt (/ x y))))
10.7b
(cbrt (/ x y))
10.7b
(cbrt (/ x y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod frac-times
26×cbrt-div
25×add-exp-log
19×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
17×associate-*l/
16×pow1
15×associate-*r/
14×add-cbrt-cube
13×prod-exp cbrt-unprod
8×flip3-- pow-prod-down flip--
4×add-log-exp
3×pow1/3
2×cbrt-undiv div-exp div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt x)
17.0ms
(* (* (cbrt (/ x y)) (/ (cbrt x) (cbrt y))) (* (- z t) (cbrt (/ x y))))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series59.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
12.0ms
(* (* (cbrt (/ x y)) (/ (cbrt x) (cbrt y))) (* (- z t) (cbrt (/ x y))))
12.0ms
(cbrt (/ x y))
12.0ms
(cbrt (/ x y))

simplify63.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049821477
149821477

prune117.0ms

Filtered
86 candidates to 116 candidates (-34.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh066
Picked011
Done011
Total1168124

Merged error: 0.0b

Counts
124 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x (- z t)) y) t)
0.0b
(* x (- z t))
7.2b
(/ (* x (- z t)) y)

rewrite22.0ms

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:
8.0ms
(+ (/ (* x (- z t)) y) t)
6.0ms
(* x (- z t))
7.0ms
(/ (* x (- z t)) y)

series29.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ (/ (* x (- z t)) y) t)
7.0ms
(* x (- z t))
12.0ms
(/ (* x (- z t)) y)

simplify43.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
06234589

prune57.0ms

Filtered
48 candidates to 70 candidates (-45.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New67370
Fresh325
Picked011
Done112
Total71778

Merged error: 0b

Counts
78 → 7

regimes429.0ms

Accuracy

7.4% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.4b

bsearch33.0ms

Steps
ItersRangePoint
7
2.1035131460751438e-194
9.463086765011631e-193
2.6078273911359655e-194
7
-6.796469562742961e-88
-1.162693694145107e-89
-2.0876292205169267e-89

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02427
12427

end0.0ms

sample781.0ms

Algorithm
intervals
Results
322.0ms10734×body80valid

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