Details

Time bar (total: 3.0s)

sample32.0ms

Algorithm
intervals
Results
10.0ms265×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (12.0ms)

IterNodesCost
088713
188713

prune11.0ms

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

localize12.0ms

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)))
1.3b
(* a (/ (- z y) (+ t (- 1.0 z))))

rewrite60.0ms

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:
5.0ms
(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))
17.0ms
(/ (- z y) (+ t (- 1.0 z)))
28.0ms
(* a (/ (- z y) (+ t (- 1.0 z))))

series68.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))
10.0ms
(/ (- z y) (+ t (- 1.0 z)))
28.0ms
(* a (/ (- z y) (+ t (- 1.0 z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
050361566

prune132.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1193122
Fresh011
Picked011
Done000
Total1195124

Merged error: 0b

Counts
124 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* a (/ 1 (/ (+ t (- 1.0 z)) (- z y)))))
0.0b
(/ (+ t (- 1.0 z)) (- z y))
0.2b
(/ 1 (/ (+ t (- 1.0 z)) (- z y)))
1.3b
(* a (/ 1 (/ (+ t (- 1.0 z)) (- z y))))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
447×*-un-lft-identity
392×times-frac
254×add-sqr-sqrt
158×add-cube-cbrt
98×associate-*r*
82×distribute-lft-out distribute-lft-out--
41×difference-of-squares
36×add-exp-log associate-/r*
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
8×flip3-- flip-- associate-/l*
7×pow1 cbrt-undiv prod-exp
6×add-log-exp
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative associate-+r- pow-flip div-sub associate-*r/ pow-prod-down sum-log un-div-inv *-commutative inv-pow
Counts
4 → 338
Calls
4 calls:
2.0ms
(+ x (* a (/ 1 (/ (+ t (- 1.0 z)) (- z y)))))
10.0ms
(/ (+ t (- 1.0 z)) (- z y))
14.0ms
(/ 1 (/ (+ t (- 1.0 z)) (- z y)))
34.0ms
(* a (/ 1 (/ (+ t (- 1.0 z)) (- z y))))

series96.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ x (* a (/ 1 (/ (+ t (- 1.0 z)) (- z y)))))
10.0ms
(/ (+ t (- 1.0 z)) (- z y))
15.0ms
(/ 1 (/ (+ t (- 1.0 z)) (- z y)))
30.0ms
(* a (/ 1 (/ (+ t (- 1.0 z)) (- z y))))

simplify93.0ms

Algorithm
egg-herbie
Counts
350 → 350
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049745155
149745155

prune328.0ms

Filtered
176 candidates to 350 candidates (-98.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3491350
Fresh123
Picked101
Done011
Total3514355

Merged error: 0b

Counts
355 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ a (/ (+ t (- 1.0 z)) (- z y))))
0.0b
(/ (+ t (- 1.0 z)) (- z y))
1.3b
(/ a (/ (+ t (- 1.0 z)) (- z y)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
275×*-un-lft-identity
218×times-frac
143×add-sqr-sqrt
91×add-cube-cbrt
53×distribute-lft-out
52×distribute-lft-out--
36×associate-/r*
26×difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
8×associate-/l*
6×div-inv
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative associate-+r- div-sub sum-log
Counts
3 → 206
Calls
3 calls:
28.0ms
(+ x (/ a (/ (+ t (- 1.0 z)) (- z y))))
9.0ms
(/ (+ t (- 1.0 z)) (- z y))
12.0ms
(/ a (/ (+ t (- 1.0 z)) (- z y)))

series76.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ x (/ a (/ (+ t (- 1.0 z)) (- z y))))
10.0ms
(/ (+ t (- 1.0 z)) (- z y))
24.0ms
(/ a (/ (+ t (- 1.0 z)) (- z y)))

simplify61.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
050083788

prune187.0ms

Filtered
126 candidates to 215 candidates (-70.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2150215
Fresh022
Picked011
Done011
Total2154219

Merged error: 0b

Counts
219 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.8b
(* (* (cbrt a) (cbrt a)) (* (/ (- z y) (+ t (- 1.0 z))) (cbrt a)))
0.9b
(* (/ (- z y) (+ t (- 1.0 z))) (cbrt a))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
39×add-sqr-sqrt
32×associate-*l*
30×add-exp-log
27×times-frac
19×add-cube-cbrt
18×pow1 add-cbrt-cube
15×prod-exp cbrt-unprod
11×cbrt-prod
10×distribute-lft-out distribute-lft-out--
9×pow-prod-down
7×associate-*r*
5×difference-of-squares
4×add-log-exp unswap-sqr
3×cbrt-undiv div-exp
2×pow1/3 associate-*l/ associate-/r/ *-commutative
1×flip3-+ associate-*r/ flip-+ div-inv
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
16.0ms
(* (* (cbrt a) (cbrt a)) (* (/ (- z y) (+ t (- 1.0 z))) (cbrt a)))
15.0ms
(* (/ (- z y) (+ t (- 1.0 z))) (cbrt a))

series188.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(cbrt a)
36.0ms
(cbrt a)
38.0ms
(* (* (cbrt a) (cbrt a)) (* (/ (- z y) (+ t (- 1.0 z))) (cbrt a)))
77.0ms
(* (/ (- z y) (+ t (- 1.0 z))) (cbrt a))

simplify52.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
052021226

prune94.0ms

Filtered
70 candidates to 116 candidates (-65.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1160116
Fresh011
Picked011
Done022
Total1164120

Merged error: 0b

Counts
120 → 4

regimes438.0ms

Accuracy

0% (0.3b 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 (0.0ms)

IterNodesCost
01513
11513

end0.0ms

sample759.0ms

Algorithm
intervals
Results
328.0ms8505×body80valid
0.0ms1×body320valid

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