Details

Time bar (total: 4.1s)

sample21.0ms

Algorithm
intervals
Results
9.0ms282×body80valid

simplify105.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2605
3885
41225
51755
66255
746865
850015

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
11.3b
(/ (- x (* y z)) (- t (* a z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
6×fma-neg prod-diff
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u 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 → 74
Calls
3 calls:
2.0ms
(- t (* a z))
2.0ms
(- x (* y z))
8.0ms
(/ (- x (* y z)) (- t (* a z)))

series128.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- t (* a z))
30.0ms
(- x (* y z))
62.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify126.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (118.0ms)

IterNodesCost
0296491
1972444
24276439
35001435

prune267.0ms

Filtered
83 candidates to 66 candidates (79.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 11.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
3.1b
(/ x (- t (* a z)))
10.5b
(/ (* y z) (- t (* a z)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
148×times-frac
138×prod-diff
121×add-sqr-sqrt
118×*-un-lft-identity
116×add-cube-cbrt
58×associate-/r/
31×flip3-- flip--
29×div-inv
18×fma-neg
11×add-exp-log add-cbrt-cube
8×add-log-exp
6×associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u 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 → 248
Calls
4 calls:
2.0ms
(- t (* a z))
40.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
4.0ms
(/ x (- t (* a z)))
5.0ms
(/ (* y z) (- t (* a z)))

series220.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- t (* a z))
98.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
37.0ms
(/ x (- t (* a z)))
51.0ms
(/ (* y z) (- t (* a z)))

simplify122.0ms

Algorithm
egg-herbie
Counts
260 → 260
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07556196
125324463
250024404

prune692.0ms

Filtered
260 candidates to 155 candidates (59.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
1.1b
(* y (/ z (- t (* a z))))
3.1b
(/ x (- t (* a z)))
9.0b
(/ z (- t (* a z)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
46×times-frac
42×add-cube-cbrt *-un-lft-identity
15×fma-neg associate-*r* prod-diff
13×add-exp-log add-cbrt-cube
10×associate-/r/
6×pow1 flip3-- associate-/r* flip-- associate-/l* add-log-exp
5×div-inv
4×expm1-log1p-u log1p-expm1-u
3×cbrt-undiv associate-*r/ div-exp associate-*l*
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 → 144
Calls
4 calls:
30.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
12.0ms
(* y (/ z (- t (* a z))))
4.0ms
(/ x (- t (* a z)))
4.0ms
(/ z (- t (* a z)))

series251.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
46.0ms
(* y (/ z (- t (* a z))))
37.0ms
(/ x (- t (* a z)))
66.0ms
(/ z (- t (* a z)))

simplify70.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04481232
118291108
250011102

prune494.0ms

Filtered
156 candidates to 122 candidates (78.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (- t (* a z)))
1.1b
(* y (* z (/ 1 (- t (* a z)))))
3.1b
(/ x (- t (* a z)))
8.6b
(* z (/ 1 (- t (* a z))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
34×add-exp-log
30×*-un-lft-identity
29×add-cube-cbrt times-frac
22×add-cbrt-cube
16×associate-*r*
13×prod-exp
12×pow1
7×div-exp cbrt-unprod
6×associate-*l* associate-/r* associate-/r/ associate-/l*
4×cbrt-undiv expm1-log1p-u associate-*r/ pow-prod-down log1p-expm1-u add-log-exp
3×rec-exp flip3-- 1-exp flip-- div-inv unswap-sqr
2×frac-2neg clear-num un-div-inv *-commutative
1×pow-flip inv-pow
Counts
4 → 132
Calls
4 calls:
4.0ms
(/ 1 (- t (* a z)))
15.0ms
(* y (* z (/ 1 (- t (* a z)))))
4.0ms
(/ x (- t (* a z)))
13.0ms
(* z (/ 1 (- t (* a z))))

series204.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(/ 1 (- t (* a z)))
51.0ms
(* y (* z (/ 1 (- t (* a z)))))
38.0ms
(/ x (- t (* a z)))
64.0ms
(* z (/ 1 (- t (* a z))))

simplify62.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0391809
11674691
25002665

prune367.0ms

Filtered
144 candidates to 94 candidates (65.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 7.4b

regimes197.0ms

Accuracy

0% (1.4b remaining)

Error of 8.1b against oracle of 6.8b and baseline of 8.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189
1189

end0.0ms

sample543.0ms

Algorithm
intervals
Results
287.0ms8744×body80valid