Details

Time bar (total: 2.0s)

sample28.0ms

Algorithm
intervals
Results
12.0ms325×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2386
3456
4516
5546
6546

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.3b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
4.2b
(* (/ x y) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r* associate-*l/ associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 79
Calls
3 calls:
9.0ms
(/ (+ x 4.0) y)
8.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms
(* (/ x y) z)

series19.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (+ x 4.0) y)
9.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms
(* (/ x y) z)

simplify119.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0341425
11212395
24964394
35001394

prune125.0ms

Filtered
88 candidates to 63 candidates (28.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New83588
Fresh000
Picked101
Done000
Total84589

Merged error: 0b

Counts
89 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- 1 z)) (* 4.0 (/ 1 y)))
4.2b
(* (/ x y) (- 1 z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
11×associate-*r/
10×add-cube-cbrt times-frac frac-add
7×add-exp-log add-cbrt-cube
6×frac-times flip3-- associate-*r* flip--
5×un-div-inv
4×pow1 distribute-rgt-in sub-neg associate-+l+ distribute-lft-in add-log-exp
3×associate-*l/
2×prod-exp cbrt-unprod difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out--
Counts
2 → 68
Calls
2 calls:
11.0ms
(+ (* (/ x y) (- 1 z)) (* 4.0 (/ 1 y)))
9.0ms
(* (/ x y) (- 1 z))

series17.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ (* (/ x y) (- 1 z)) (* 4.0 (/ 1 y)))
8.0ms
(* (/ x y) (- 1 z))

simplify50.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0416496
11863440
25001435

prune93.0ms

Filtered
74 candidates to 50 candidates (32.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New74074
Fresh044
Picked011
Done000
Total74579

Merged error: 0b

Counts
79 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

4.2b
(* (/ x y) z)
12.0b
(cbrt (* (/ x y) z))
12.0b
(cbrt (* (/ x y) z))
12.0b
(cbrt (* (/ x y) z))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1
4×associate-*l/ add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 62
Calls
4 calls:
6.0ms
(* (/ x y) z)
4.0ms
(cbrt (* (/ x y) z))
4.0ms
(cbrt (* (/ x y) z))
4.0ms
(cbrt (* (/ x y) z))

series65.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (/ x y) z)
21.0ms
(cbrt (* (/ x y) z))
19.0ms
(cbrt (* (/ x y) z))
20.0ms
(cbrt (* (/ x y) z))

simplify64.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0232371
1788335
23209283
35001279

prune94.0ms

Filtered
74 candidates to 55 candidates (25.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh033
Picked011
Done011
Total74579

Merged error: 0b

Counts
79 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x y)) (cbrt (/ x y)))
11.6b
(cbrt (/ x y))
11.6b
(cbrt (/ x y))
11.6b
(cbrt (/ x y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
11.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series58.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
12.0ms
(cbrt (/ x y))
12.0ms
(cbrt (/ x y))
13.0ms
(cbrt (/ x y))

simplify88.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
02811133
19711088
239501022
35002989

prune169.0ms

Filtered
156 candidates to 119 candidates (23.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1560156
Fresh022
Picked011
Done022
Total1565161

Merged error: 0b

Counts
161 → 5

regimes163.0ms

Accuracy

54.4% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.8b

bsearch22.0ms

Steps
ItersRangePoint
9
-2.8870833502012795e+146
-2.724001903301161e+139
-1.0224455971855882e+142

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02813
12813

end0.0ms

sample688.0ms

Algorithm
intervals
Results
381.0ms10263×body80valid

Profiling

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