Details

Time bar (total: 4.2s)

sample30.0ms

Algorithm
intervals
Results
10.0ms283×body80valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2525
3805
41085
51575
65895
744765
850025

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.2b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
9.0b
(/ (- x (* y z)) (- t (* a z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 associate-/r* associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 56
Calls
3 calls:
2.0ms
(- t (* a z))
2.0ms
(- x (* y z))
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series35.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- t (* a z))
6.0ms
(- x (* y z))
22.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify79.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0251407
1852375
23287375
35001375

prune210.0ms

Filtered
65 candidates to 50 candidates (23.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New551065
Fresh000
Picked101
Done000
Total561066

Merged error: 8.9b

Counts
66 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
3.4b
(/ x (- t (* a z)))
9.4b
(/ (* y z) (- t (* a z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
13×times-frac
11×add-exp-log add-cbrt-cube
8×associate-/r/ add-log-exp
6×flip3-- associate-/r* flip--
4×pow1 div-inv associate-/l*
3×cbrt-undiv distribute-rgt-out-- div-exp
2×sub-neg frac-2neg diff-log clear-num difference-of-squares
1×prod-exp frac-sub cbrt-unprod distribute-lft-out-- sub-div
Counts
4 → 84
Calls
4 calls:
2.0ms
(- t (* a z))
15.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
4.0ms
(/ x (- t (* a z)))
5.0ms
(/ (* y z) (- t (* a z)))

series56.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- t (* a z))
27.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
10.0ms
(/ x (- t (* a z)))
12.0ms
(/ (* y z) (- t (* a z)))

simplify38.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0332640
11264590
25001590

prune353.0ms

Filtered
96 candidates to 72 candidates (25.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New92496
Fresh459
Picked101
Done000
Total979106

Merged error: 5.5b

Counts
106 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
3.1b
(* y (/ z (- t (* a z))))
3.4b
(/ x (- t (* a z)))
7.5b
(/ z (- t (* a z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
28×add-cube-cbrt *-un-lft-identity times-frac
15×associate-*r*
13×add-exp-log add-cbrt-cube
6×pow1 associate-/r* associate-/r/ associate-/l* add-log-exp
4×flip3-- flip--
3×cbrt-undiv associate-*r/ div-exp associate-*l* div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg diff-log pow-prod-down *-commutative frac-sub sub-div
Counts
4 → 106
Calls
4 calls:
9.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
7.0ms
(* y (/ z (- t (* a z))))
4.0ms
(/ x (- t (* a z)))
4.0ms
(/ z (- t (* a z)))

series61.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
12.0ms
(* y (/ z (- t (* a z))))
10.0ms
(/ x (- t (* a z)))
10.0ms
(/ z (- t (* a z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0369752
11533693
25001693

prune536.0ms

Filtered
118 candidates to 89 candidates (24.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1180118
Fresh088
Picked011
Done000
Total1189127

Merged error: 5.5b

Counts
127 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
3.4b
(/ x (- t (* a z)))
3.4b
(/ y (/ (- t (* a z)) z))
7.5b
(/ (- t (* a z)) z)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
104×times-frac
83×add-sqr-sqrt
68×*-un-lft-identity
62×add-cube-cbrt
19×associate-/r*
13×add-exp-log add-cbrt-cube
9×associate-/l*
7×div-inv
6×add-log-exp difference-of-squares
5×cbrt-undiv div-exp
4×pow1
3×flip3-- frac-2neg clear-num associate-/r/ flip--
2×associate-/l/ distribute-lft-out--
1×sub-neg diff-log div-sub frac-sub
Counts
4 → 150
Calls
4 calls:
36.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
4.0ms
(/ x (- t (* a z)))
6.0ms
(/ y (/ (- t (* a z)) z))
5.0ms
(/ (- t (* a z)) z)

series60.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
10.0ms
(/ x (- t (* a z)))
13.0ms
(/ y (/ (- t (* a z)) z))
8.0ms
(/ (- t (* a z)) z)

simplify64.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05751367
122621305
250011302

prune1.0s

Filtered
162 candidates to 129 candidates (20.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1602162
Fresh077
Picked101
Done101
Total1629171

Merged error: 2.2b

Counts
171 → 9

regimes501.0ms

Accuracy

76.6% (0.3b remaining)

Error of 1.8b against oracle of 1.5b and baseline of 3.0b

bsearch95.0ms

Steps
ItersRangePoint
7
7.585552663439128e-46
9.67756607207258e-44
1.5328106676006947e-45
8
-3.798984217766653e-127
-5.339694800356361e-131
-1.1841512118863559e-130

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03113
13113

end0.0ms

sample728.0ms

Algorithm
intervals
Results
296.0ms8732×body80valid

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