Details

Time bar (total: 2.8s)

sample29.0ms

Algorithm
intervals
Results
10.0ms284×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
029311
129311

prune13.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (- y z) (/ t (- a z))))
0.0b
(/ t (- a z))
8.5b
(* (- y z) (/ t (- a z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-exp-log add-cbrt-cube
distribute-lft-out-- difference-of-squares
pow1 associate-*l* associate-/r* add-log-exp
flip3-- associate-/r/ flip--
associate-/l*
cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
+-commutative frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 94
Calls
3 calls:
3.0ms
(+ x (* (- y z) (/ t (- a z))))
8.0ms
(/ t (- a z))
13.0ms
(* (- y z) (/ t (- a z)))

series48.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ x (* (- y z) (/ t (- a z))))
7.0ms
(/ t (- a z))
15.0ms
(* (- y z) (/ t (- a z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
052491060

prune126.0ms

Filtered
75 candidates to 103 candidates (-37.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New976103
Fresh011
Picked011
Done000
Total978105

Merged error: 0b

Counts
105 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (- y z) (* t (/ 1 (- a z)))))
0.0b
(/ 1 (- a z))
0.2b
(* t (/ 1 (- a z)))
8.5b
(* (- y z) (* t (/ 1 (- a z))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r*
20×add-cbrt-cube
13×prod-exp
12×pow1
associate-*l* distribute-lft-out-- difference-of-squares
cbrt-unprod
associate-*r/ div-exp add-log-exp
flip3-- associate-/r* flip--
frac-times pow-prod-down associate-/r/ un-div-inv
cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
associate-*l/ *-commutative div-inv
+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 128
Calls
4 calls:
3.0ms
(+ x (* (- y z) (* t (/ 1 (- a z)))))
5.0ms
(/ 1 (- a z))
10.0ms
(* t (/ 1 (- a z)))
12.0ms
(* (- y z) (* t (/ 1 (- a z))))

series54.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ x (* (- y z) (* t (/ 1 (- a z)))))
6.0ms
(/ 1 (- a z))
7.0ms
(* t (/ 1 (- a z)))
15.0ms
(* (- y z) (* t (/ 1 (- a z))))

simplify60.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
050151200

prune125.0ms

Filtered
83 candidates to 140 candidates (-68.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1400140
Fresh066
Picked011
Done011
Total1408148

Merged error: 0b

Counts
148 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

2.5b
(* (- y z) (* (cbrt (/ t (- a z))) (cbrt (/ t (- a z)))))
12.0b
(cbrt (/ t (- a z)))
12.0b
(cbrt (/ t (- a z)))
12.0b
(cbrt (/ t (- a z)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
53×add-sqr-sqrt
52×*-un-lft-identity
45×times-frac
32×add-cube-cbrt
15×cbrt-div
10×distribute-lft-out-- difference-of-squares
pow1 add-exp-log frac-times
flip3-- add-cbrt-cube flip--
associate-*r/ associate-/r/
associate-*l* associate-*l/
add-log-exp
pow1/3 pow-prod-down prod-exp cbrt-unprod div-inv
associate-*r* *-commutative unswap-sqr
Counts
4 → 122
Calls
4 calls:
18.0ms
(* (- y z) (* (cbrt (/ t (- a z))) (cbrt (/ t (- a z)))))
6.0ms
(cbrt (/ t (- a z)))
5.0ms
(cbrt (/ t (- a z)))
5.0ms
(cbrt (/ t (- a z)))

series184.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(* (- y z) (* (cbrt (/ t (- a z))) (cbrt (/ t (- a z)))))
35.0ms
(cbrt (/ t (- a z)))
37.0ms
(cbrt (/ t (- a z)))
35.0ms
(cbrt (/ t (- a z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049351698
149351698

prune161.0ms

Filtered
107 candidates to 134 candidates (-25.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1340134
Fresh055
Picked011
Done022
Total1348142

Merged error: 0b

Counts
142 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- a z) t)
0.0b
(+ x (* (- y z) (/ 1 (/ (- a z) t))))
1.0b
(/ 1 (/ (- a z) t))
8.5b
(* (- y z) (/ 1 (/ (- a z) t)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
240×times-frac
184×add-sqr-sqrt
172×*-un-lft-identity
118×add-cube-cbrt
62×associate-*r*
36×add-exp-log
26×distribute-lft-out-- difference-of-squares
22×associate-/r*
20×add-cbrt-cube
15×div-exp
10×div-inv
associate-/l*
pow1 cbrt-undiv prod-exp
add-log-exp
associate-*l* unswap-sqr
rec-exp 1-exp
flip3-- flip-- cbrt-unprod
frac-times frac-2neg associate-*l/ clear-num associate-/r/ associate-/l/
+-commutative pow-flip flip3-+ div-sub associate-*r/ pow-prod-down sum-log un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 246
Calls
4 calls:
6.0ms
(/ (- a z) t)
3.0ms
(+ x (* (- y z) (/ 1 (/ (- a z) t))))
8.0ms
(/ 1 (/ (- a z) t))
23.0ms
(* (- y z) (/ 1 (/ (- a z) t)))

series67.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ (- a z) t)
25.0ms
(+ x (* (- y z) (/ 1 (/ (- a z) t))))
11.0ms
(/ 1 (/ (- a z) t))
21.0ms
(* (- y z) (/ 1 (/ (- a z) t)))

simplify79.0ms

Algorithm
egg-herbie
Counts
258 → 258
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
050642895

prune200.0ms

Filtered
165 candidates to 258 candidates (-56.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2571258
Fresh224
Picked101
Done033
Total2606266

Merged error: 0b

Counts
266 → 6

regimes586.0ms

Accuracy

35.2% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.4b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03265
13265

end0.0ms

sample768.0ms

Algorithm
intervals
Results
311.0ms8693×body80valid
2.0msbody160valid
0.0msbody320valid

Profiling

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