Details

Time bar (total: 3.0s)

sample34.0ms

Algorithm
intervals
Results
15.0ms282×body80valid

simplify122.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2525
3805
41085
51575
65895
746175
850025

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize13.0ms

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)))

rewrite22.0ms

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:
3.0ms
(- t (* a z))
3.0ms
(- x (* y z))
13.0ms
(/ (- x (* y z)) (- t (* a z)))

series131.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- t (* a z))
28.0ms
(- x (* y z))
71.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify80.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0251407
1852375
23301375
35001375

prune162.0ms

Filtered
65 candidates to 50 candidates (76.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 11.3b

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

rewrite42.0ms

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))
30.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
4.0ms
(/ x (- t (* a z)))
5.0ms
(/ (* y z) (- t (* a z)))

series233.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- t (* a z))
113.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
36.0ms
(/ x (- t (* a z)))
40.0ms
(/ (* y z) (- t (* a z)))

simplify36.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0332640
11264590
25001590

prune227.0ms

Filtered
96 candidates to 72 candidates (75.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.4b

localize9.0ms

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)))

rewrite44.0ms

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:
20.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
11.0ms
(* y (/ z (- t (* a z))))
4.0ms
(/ x (- t (* a z)))
4.0ms
(/ z (- t (* a z)))

series231.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
40.0ms
(* y (/ z (- t (* a z))))
48.0ms
(/ x (- t (* a z)))
56.0ms
(/ z (- t (* a z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0369752
11533693
25001693

prune278.0ms

Filtered
118 candidates to 88 candidates (74.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.4b

localize10.0ms

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))))

rewrite42.0ms

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 associate-*r/ pow-prod-down 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 → 124
Calls
4 calls:
4.0ms
(/ 1 (- t (* a z)))
15.0ms
(* y (* z (/ 1 (- t (* a z)))))
4.0ms
(/ x (- t (* a z)))
12.0ms
(* z (/ 1 (- t (* a z))))

series188.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(/ 1 (- t (* a z)))
42.0ms
(* y (* z (/ 1 (- t (* a z)))))
39.0ms
(/ x (- t (* a z)))
56.0ms
(* z (/ 1 (- t (* a z))))

simplify45.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0382771
11662653
25002627

prune269.0ms

Filtered
136 candidates to 86 candidates (63.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 7.4b

regimes168.0ms

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189
1189

end0.0ms

sample508.0ms

Algorithm
intervals
Results
262.0ms8744×body80valid