Details

Time bar (total: 2.8s)

sample33.0ms

Algorithm
intervals
Results
13.0ms337×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
09711
19711

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.4b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
5.1b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
6.0ms
(/ t (- 1.0 z))
20.0ms
(- (/ y z) (/ t (- 1.0 z)))
29.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series33.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ t (- 1.0 z))
10.0ms
(- (/ y z) (/ t (- 1.0 z)))
17.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify29.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
058611153

prune168.0ms

Filtered
71 candidates to 98 candidates (-38.0%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New871198
Fresh000
Picked011
Done000
Total871299

Merged error: 0.4b

Counts
99 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.1b
(* t (/ 1 (- 1.0 z)))
5.1b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
26×add-cube-cbrt
24×associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l* add-log-exp
5×prod-exp associate-/r*
4×flip3-- div-exp associate-/r/ frac-sub flip-- unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×cbrt-undiv distribute-rgt-in rec-exp distribute-lft-in 1-exp pow-prod-down *-commutative div-inv
1×pow-flip frac-2neg diff-log clear-num inv-pow
Counts
4 → 125
Calls
4 calls:
6.0ms
(/ 1 (- 1.0 z))
7.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
14.0ms
(* t (/ 1 (- 1.0 z)))
9.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series36.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 1 (- 1.0 z))
10.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
6.0ms
(* t (/ 1 (- 1.0 z)))
18.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify35.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
055741334

prune180.0ms

Filtered
86 candidates to 137 candidates (-59.3%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1361137
Fresh1910
Picked011
Done011
Total13712149

Merged error: 0.4b

Counts
149 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

1.3b
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
7.2b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
7.2b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
7.2b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×*-un-lft-identity
33×cbrt-div
30×cbrt-prod
24×times-frac
18×associate-*r/
12×distribute-lft-out-- difference-of-squares
11×flip3-- frac-sub flip--
9×pow1 add-exp-log frac-times
8×add-cube-cbrt
7×add-cbrt-cube
4×add-log-exp
3×pow1/3 associate-*l* pow-prod-down associate-*l/ prod-exp cbrt-unprod
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 97
Calls
4 calls:
50.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
19.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
19.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
21.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series177.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
41.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
45.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
41.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify52.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049791999
149791999

prune288.0ms

Filtered
85 candidates to 109 candidates (-28.2%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1081109
Fresh099
Picked011
Done022
Total10813121

Merged error: 0.4b

Counts
121 → 13

localize13.0ms

Local error

Found 3 expressions with local error:

1.7b
(- (* y (- 1.0 z)) (* z t))
5.1b
(* x (- (* y (- 1.0 z)) (* z t)))
19.3b
(/ (* x (- (* y (- 1.0 z)) (* z t))) (* z (- 1.0 z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
12×distribute-rgt-in distribute-lft-in associate--l+
9×sub-neg
7×add-sqr-sqrt
6×associate-*r/
5×pow1 add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv flip3-- div-exp flip--
3×associate-*r* associate-*l*
2×associate-/r/ associate-/l/
1×frac-2neg times-frac diff-log pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 73
Calls
3 calls:
7.0ms
(- (* y (- 1.0 z)) (* z t))
11.0ms
(* x (- (* y (- 1.0 z)) (* z t)))
15.0ms
(/ (* x (- (* y (- 1.0 z)) (* z t))) (* z (- 1.0 z)))

series60.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(- (* y (- 1.0 z)) (* z t))
16.0ms
(* x (- (* y (- 1.0 z)) (* z t)))
33.0ms
(/ (* x (- (* y (- 1.0 z)) (* z t))) (* z (- 1.0 z)))

simplify24.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
052941134

prune85.0ms

Filtered
49 candidates to 82 candidates (-67.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New78482
Fresh549
Picked011
Done303
Total86995

Merged error: 0.0b

Counts
95 → 9

regimes443.0ms

Accuracy

89% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 4.8b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043125
143125

end0.0ms

sample902.0ms

Algorithm
intervals
Results
393.0ms10092×body80valid

Profiling

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