Details

Time bar (total: 3.0s)

sample18.0ms

Algorithm
intervals
Results
9.0ms262×body80valid

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1676
21456
32416
43016
53556
63966
74446
85296
97446
1022186
1150016

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: 17.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
16.9b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-exp-log add-cbrt-cube
12×flip3-+ flip-+
9×pow1
8×add-sqr-sqrt frac-times associate-/r/
6×add-cube-cbrt swap-sqr distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv associate-*r/ div-exp associate-*r* associate-*l* associate-*l/
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-lft-neg-out pow2 distribute-rgt-in frac-2neg distribute-lft-in times-frac pow-plus distribute-frac-neg pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 74
Calls
2 calls:
8.0ms
(* (+ t1 u) (+ t1 u))
11.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* (+ t1 u) (+ t1 u))
78.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify61.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0390509
12114426
25002422

prune118.0ms

Filtered
80 candidates to 45 candidates (56.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New75580
Fresh000
Picked101
Done000
Total76581

Merged error: 0.0b

Counts
81 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
1.7b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
125×*-un-lft-identity
108×times-frac
81×add-sqr-sqrt
69×add-cube-cbrt
46×associate-*l*
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
19×add-exp-log add-cbrt-cube
18×associate-*r*
13×associate-/l*
9×neg-mul-1
8×associate-/r* associate-/r/
6×cbrt-undiv div-exp
5×pow1
4×flip3-+ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg distribute-frac-neg clear-num
1×distribute-lft-neg-out neg-sub0 frac-times div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 198
Calls
3 calls:
7.0ms
(/ (- t1) (+ t1 u))
5.0ms
(/ v (+ t1 u))
30.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series189.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (- t1) (+ t1 u))
28.0ms
(/ v (+ t1 u))
121.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify62.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
06021313
127281228
250021224

prune324.0ms

Filtered
207 candidates to 140 candidates (67.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2025207
Fresh224
Picked011
Done000
Total2048212

Merged error: 0b

Counts
212 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t1)
0.6b
(cbrt t1)
0.6b
(cbrt t1)
0.8b
(* (/ (- (* (cbrt t1) (cbrt t1))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (* (/ (cbrt t1) (cbrt (+ t1 u))) (/ v (+ t1 u))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
51×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
18×associate-*l*
12×cbrt-div
9×pow1 cbrt-prod add-sqr-sqrt frac-times add-cube-cbrt *-un-lft-identity
8×associate-/r/
7×associate-*r/
6×flip3-+ times-frac flip-+
5×associate-*l/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down
1×distribute-lft-neg-out distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in distribute-frac-neg associate-*r* *-commutative div-inv
Counts
4 → 108
Calls
4 calls:
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)
28.0ms
(* (/ (- (* (cbrt t1) (cbrt t1))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (* (/ (cbrt t1) (cbrt (+ t1 u))) (/ v (+ t1 u))))

series653.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt t1)
181.0ms
(cbrt t1)
174.0ms
(cbrt t1)
124.0ms
(* (/ (- (* (cbrt t1) (cbrt t1))) (* (cbrt (+ t1 u)) (cbrt (+ t1 u)))) (* (/ (cbrt t1) (cbrt (+ t1 u))) (/ v (+ t1 u))))

simplify83.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
05861767
130611215
25001950

prune275.0ms

Filtered
120 candidates to 81 candidates (67.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh066
Picked011
Done011
Total1208128

Merged error: 0b

Counts
128 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.8b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
8.1b
(* (- t1) (/ v (+ t1 u)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
30×add-sqr-sqrt
29×times-frac
25×add-cube-cbrt
19×add-exp-log add-cbrt-cube
18×associate-*r*
10×associate-*l*
9×distribute-lft-out
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in flip3-+ flip-+ log1p-expm1-u div-inv add-log-exp
2×distribute-lft-neg-out frac-2neg associate-*r/ clear-num unswap-sqr
1×neg-mul-1 distribute-frac-neg pow-prod-down *-commutative associate-/l/
Counts
3 → 113
Calls
3 calls:
5.0ms
(/ v (+ t1 u))
11.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
12.0ms
(* (- t1) (/ v (+ t1 u)))

series150.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ v (+ t1 u))
73.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
52.0ms
(* (- t1) (/ v (+ t1 u)))

simplify51.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0392679
12087600
25002600

prune183.0ms

Filtered
122 candidates to 85 candidates (69.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1211122
Fresh235
Picked011
Done022
Total1237130

Merged error: 0b

Counts
130 → 7

regimes76.0ms

Accuracy

0% (1.0b remaining)

Error of 1.2b against oracle of 0.2b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02218
12618
22918
33518
43818
53818

end0.0ms

sample452.0ms

Algorithm
intervals
Results
281.0ms8220×body80valid

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