Details

Time bar (total: 3.4s)

sample32.0ms

Algorithm
intervals
Results
13.0ms271×body80valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
0494313
1494313

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: 0.0b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))
0.0b
(/ (- z y) (+ t (- 1.0 z)))
0.8b
(* a (/ (- z y) (+ t (- 1.0 z))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
104×*-un-lft-identity
54×add-sqr-sqrt
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out distribute-lft-out--
11×difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-+ associate-*l* flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip--
Counts
3 → 113
Calls
3 calls:
3.0ms
(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))
9.0ms
(/ (- z y) (+ t (- 1.0 z)))
16.0ms
(* a (/ (- z y) (+ t (- 1.0 z))))

series65.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))
11.0ms
(/ (- z y) (+ t (- 1.0 z)))
22.0ms
(* a (/ (- z y) (+ t (- 1.0 z))))

simplify55.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049681564
149681564

prune135.0ms

Filtered
76 candidates to 122 candidates (-60.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1202122
Fresh011
Picked011
Done000
Total1204124

Merged error: 0b

Counts
124 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (- z y) (+ t (- 1.0 z)))) (cbrt (/ (- z y) (+ t (- 1.0 z)))))
2.0b
(cbrt (/ (- z y) (+ t (- 1.0 z))))
2.0b
(cbrt (/ (- z y) (+ t (- 1.0 z))))
2.0b
(cbrt (/ (- z y) (+ t (- 1.0 z))))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
624×*-un-lft-identity
333×cbrt-prod
285×times-frac
219×add-sqr-sqrt
136×distribute-lft-out--
134×distribute-lft-out
101×add-cube-cbrt
86×swap-sqr
47×difference-of-squares
34×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ 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 → 304
Calls
4 calls:
42.0ms
(* (cbrt (/ (- z y) (+ t (- 1.0 z)))) (cbrt (/ (- z y) (+ t (- 1.0 z)))))
9.0ms
(cbrt (/ (- z y) (+ t (- 1.0 z))))
9.0ms
(cbrt (/ (- z y) (+ t (- 1.0 z))))
9.0ms
(cbrt (/ (- z y) (+ t (- 1.0 z))))

series171.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (cbrt (/ (- z y) (+ t (- 1.0 z)))) (cbrt (/ (- z y) (+ t (- 1.0 z)))))
41.0ms
(cbrt (/ (- z y) (+ t (- 1.0 z))))
40.0ms
(cbrt (/ (- z y) (+ t (- 1.0 z))))
40.0ms
(cbrt (/ (- z y) (+ t (- 1.0 z))))

simplify110.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
049576752
149576752

prune513.0ms

Filtered
152 candidates to 316 candidates (-107.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3160316
Fresh022
Picked011
Done011
Total3164320

Merged error: 0b

Counts
320 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (+ t (- 1.0 z)))
0.4b
(cbrt (+ t (- 1.0 z)))
0.4b
(cbrt (+ t (- 1.0 z)))
8.1b
(* (/ a (* (cbrt (+ t (- 1.0 z))) (cbrt (+ t (- 1.0 z))))) (/ (- z y) (cbrt (+ t (- 1.0 z)))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
60×add-sqr-sqrt
50×times-frac
46×associate-*r*
42×cbrt-prod
28×add-cube-cbrt
25×add-exp-log
20×cbrt-div
18×add-cbrt-cube
16×distribute-lft-out distribute-lft-out--
15×associate-*l*
10×flip3-+ associate-/r/ flip-+
8×prod-exp cbrt-unprod difference-of-squares
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 136
Calls
4 calls:
6.0ms
(cbrt (+ t (- 1.0 z)))
5.0ms
(cbrt (+ t (- 1.0 z)))
5.0ms
(cbrt (+ t (- 1.0 z)))
46.0ms
(* (/ a (* (cbrt (+ t (- 1.0 z))) (cbrt (+ t (- 1.0 z))))) (/ (- z y) (cbrt (+ t (- 1.0 z)))))

series82.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(cbrt (+ t (- 1.0 z)))
17.0ms
(cbrt (+ t (- 1.0 z)))
21.0ms
(cbrt (+ t (- 1.0 z)))
27.0ms
(* (/ a (* (cbrt (+ t (- 1.0 z))) (cbrt (+ t (- 1.0 z))))) (/ (- z y) (cbrt (+ t (- 1.0 z)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049992846
149992846

prune288.0ms

Filtered
105 candidates to 148 candidates (-41.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1480148
Fresh011
Picked011
Done022
Total1484152

Merged error: 0b

Counts
152 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
12.1b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
208×*-un-lft-identity
188×times-frac
125×add-sqr-sqrt
76×add-cube-cbrt
39×distribute-lft-out--
36×distribute-lft-out
23×difference-of-squares
19×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 flip3-- div-sub flip-- associate-/l/
1×sub-neg frac-2neg diff-log clear-num associate-/r/ associate--r-
Counts
2 → 154
Calls
2 calls:
34.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
14.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series63.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
32.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify57.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
057123103

prune143.0ms

Filtered
95 candidates to 160 candidates (-68.4%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1600160
Fresh000
Picked011
Done033
Total1604164

Merged error: 0b

Counts
164 → 4

regimes494.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03313
13313

end0.0ms

sample788.0ms

Algorithm
intervals
Results
320.0ms8517×body80valid
0.0ms2×body1280valid
0.0ms2×body320valid
0.0ms2×body160valid

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