Details

Time bar (total: 6.0s)

sample33.0ms

Algorithm
intervals
Results
14.0ms266×body80valid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1405
2805
31745
43695
55035
67695
711915
814515
916065
1016065

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: 0.6b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
7.5b
(/ x (* (- y z) (- y t)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
53×*-un-lft-identity
48×times-frac
33×add-cube-cbrt
25×associate-*r* associate-*l*
16×associate-/r*
12×flip3-- flip--
10×distribute-lft-out-- difference-of-squares
add-exp-log add-cbrt-cube
frac-times associate-/r/
*-commutative unswap-sqr
pow1 associate-*r/ associate-*l/
associate-/l*
cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod add-log-exp
frac-2neg pow-prod-down clear-num div-inv
Counts
2 → 123
Calls
2 calls:
9.0ms
(* (- y z) (- y t))
13.0ms
(/ x (* (- y z) (- y t)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (- y z) (- y t))
60.0ms
(/ x (* (- y z) (- y t)))

simplify56.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0464909
12047866
25003866

prune209.0ms

Filtered
129 candidates to 93 candidates (72.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1254129
Fresh000
Picked011
Done000
Total1255130

Merged error: 0b

Counts
130 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y t))
0.6b
(cbrt (- y t))
0.6b
(cbrt (- y t))
5.1b
(* (/ 1 (* (- y z) (* (cbrt (- y t)) (cbrt (- y t))))) (/ x (cbrt (- y t))))

rewrite293.0ms

Algorithm
rewrite-expression-head
Rules
1603×add-sqr-sqrt
1298×associate-/r*
1004×cbrt-prod
926×*-un-lft-identity
868×frac-times
804×associate-*r*
473×add-cube-cbrt
447×unswap-sqr
426×associate-*l*
288×times-frac
229×associate-/l*
228×swap-sqr
193×distribute-lft-out--
157×difference-of-squares
86×add-cbrt-cube
78×add-exp-log
77×clear-num
76×frac-2neg
68×associate-*l/
61×*-commutative
48×cbrt-unprod
44×cbrt-div
38×prod-exp
32×cbrt-undiv
31×flip3-- flip--
28×associate-*r/ associate-/r/
22×div-exp
pow1 rec-exp 1-exp
add-log-exp
pow1/3
un-div-inv div-inv
pow-prod-down
Counts
4 → 1296
Calls
4 calls:
3.0ms
(cbrt (- y t))
3.0ms
(cbrt (- y t))
3.0ms
(cbrt (- y t))
154.0ms
(* (/ 1 (* (- y z) (* (cbrt (- y t)) (cbrt (- y t))))) (/ x (cbrt (- y t))))

series626.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt (- y t))
159.0ms
(cbrt (- y t))
158.0ms
(cbrt (- y t))
142.0ms
(* (/ 1 (* (- y z) (* (cbrt (- y t)) (cbrt (- y t))))) (/ x (cbrt (- y t))))

simplify308.0ms

Algorithm
egg-herbie
Counts
1308 → 1308
Iterations

Useful iterations: 1 (100.0ms)

IterNodesCost
0483122516
1500121973

prune2.5s

Filtered
1308 candidates to 704 candidates (53.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New130801308
Fresh033
Picked011
Done011
Total130851313

Merged error: 0b

Counts
1313 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y t))
2.4b
(* (/ 1 (- y z)) (/ x (- y t)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
163×add-sqr-sqrt
149×*-un-lft-identity
125×associate-/r*
121×frac-times
78×add-cube-cbrt
76×associate-/l*
52×times-frac
34×distribute-lft-out-- difference-of-squares
26×add-exp-log clear-num
25×frac-2neg
21×associate-*r* associate-*l*
16×add-cbrt-cube
11×associate-*r/ associate-*l/
div-exp
prod-exp
associate-/r/ unswap-sqr
cbrt-undiv
pow1 cbrt-unprod
flip3-- flip-- div-inv
rec-exp 1-exp un-div-inv add-log-exp
pow-prod-down *-commutative
Counts
2 → 251
Calls
2 calls:
5.0ms
(/ x (- y t))
25.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

series162.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ x (- y t))
133.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

simplify107.0ms

Algorithm
egg-herbie
Counts
257 → 257
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
09671787
145571647
250021569

prune287.0ms

Filtered
257 candidates to 129 candidates (50.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2561257
Fresh112
Picked011
Done022
Total2575262

Merged error: 0b

Counts
262 → 5

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.1b
(/ (/ x (- y z)) (- y t))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
180×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
45×distribute-lft-out-- difference-of-squares
27×associate-/l*
16×associate-/r/
15×associate-/r*
11×associate-/l/
add-exp-log add-cbrt-cube
flip3-- flip-- div-inv
cbrt-undiv div-exp
frac-2neg clear-num
pow1 add-log-exp
Counts
2 → 195
Calls
2 calls:
5.0ms
(/ x (- y z))
16.0ms
(/ (/ x (- y z)) (- y t))

series138.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ x (- y z))
92.0ms
(/ (/ x (- y z)) (- y t))

simplify76.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
06521776
123841732
250021732

prune306.0ms

Filtered
201 candidates to 134 candidates (66.7%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2001201
Fresh101
Picked011
Done033
Total2015206

Merged error: 0b

Counts
206 → 5

regimes143.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample458.0ms

Algorithm
intervals
Results
244.0ms8422×body80valid