Details

Time bar (total: 6.6s)

sample23.0ms

Algorithm
intervals
Results
10.0ms277×body80valid

simplify106.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2605
3885
41225
51755
66255
746865
850015

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: 10.7b

Counts
2 → 1

localize11.0ms

Local error

Found 1 expressions with local error:

10.4b
(/ (- x (* y z)) (- t (* a z)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-sub div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify87.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0203303
1727281
22912280
35002278

prune126.0ms

Filtered
37 candidates to 30 candidates (81.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New29837
Fresh000
Picked101
Done000
Total30838

Merged error: 10.4b

Counts
38 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
3.5b
(/ x (- t (* a z)))
10.5b
(/ (* y z) (- t (* a z)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
148×times-frac
135×prod-diff
118×add-sqr-sqrt
115×*-un-lft-identity
113×add-cube-cbrt
58×associate-/r/
30×flip3-- flip--
29×div-inv
15×fma-neg
10×add-exp-log add-cbrt-cube
6×associate-/r*
5×add-log-exp
4×associate-/l*
3×pow1 cbrt-undiv expm1-log1p-u distribute-rgt-out-- div-exp log1p-expm1-u
2×frac-2neg clear-num difference-of-squares
1×sub-neg diff-log prod-exp frac-sub cbrt-unprod distribute-lft-out-- sub-div
Counts
3 → 228
Calls
3 calls:
19.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
5.0ms
(/ x (- t (* a z)))
9.0ms
(/ (* y z) (- t (* a z)))

series184.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
38.0ms
(/ x (- t (* a z)))
51.0ms
(/ (* y z) (- t (* a z)))

simplify116.0ms

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
07276102
124774381
250014323

prune529.0ms

Filtered
237 candidates to 137 candidates (57.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New2325237
Fresh257
Picked101
Done000
Total23510245

Merged error: 6.4b

Counts
245 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
3.5b
(/ x (- t (* a z)))
3.6b
(* y (/ z (- t (* a z))))
9.1b
(/ z (- t (* a z)))

rewrite35.0ms

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:
13.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
4.0ms
(/ x (- t (* a z)))
8.0ms
(* y (/ z (- t (* a z))))
5.0ms
(/ z (- t (* a z)))

series243.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
37.0ms
(/ x (- t (* a z)))
50.0ms
(* y (/ z (- t (* a z))))
58.0ms
(/ z (- t (* a z)))

simplify66.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04481232
118291108
250011102

prune403.0ms

Filtered
156 candidates to 122 candidates (78.2%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1551156
Fresh099
Picked011
Done000
Total15511166

Merged error: 6.4b

Counts
166 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
3.5b
(/ x (- t (* a z)))
3.5b
(/ y (/ (- t (* a z)) z))
9.1b
(/ (- t (* a z)) z)

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
1499×times-frac
923×add-sqr-sqrt
908×*-un-lft-identity
902×add-cube-cbrt
660×prod-diff
112×div-inv
108×associate-/r/
48×flip3-- flip--
19×associate-/r*
15×fma-neg
13×add-exp-log add-cbrt-cube
9×associate-/l*
6×add-log-exp difference-of-squares
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num
2×associate-/l/ distribute-lft-out--
1×sub-neg diff-log div-sub frac-sub
Counts
4 → 833
Calls
4 calls:
54.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
4.0ms
(/ x (- t (* a z)))
7.0ms
(/ y (/ (- t (* a z)) z))
5.0ms
(/ (- t (* a z)) z)

series221.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
43.0ms
(/ x (- t (* a z)))
46.0ms
(/ y (/ (- t (* a z)) z))
35.0ms
(/ (- t (* a z)) z)

simplify298.0ms

Algorithm
egg-herbie
Counts
845 → 845
Iterations

Useful iterations: 1 (50.0ms)

IterNodesCost
0250135235
1500228527

prune2.9s

Filtered
845 candidates to 582 candidates (68.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New8414845
Fresh459
Picked101
Done101
Total8479856

Merged error: 1.4b

Counts
856 → 9

regimes203.0ms

Accuracy

6.8% (1.4b remaining)

Error of 2.9b against oracle of 1.5b and baseline of 3.0b

bsearch125.0ms

Steps
ItersRangePoint
10
4.640147306831819e-87
3.0457304718605375e-76
5.957888797169072e-85
10
-3.9548743960166396e+41
-5.803757890953824e+24
-2.622785819064071e+37

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02615
12615

end0.0ms

sample607.0ms

Algorithm
intervals
Results
341.0ms8707×body80valid

Profiling

Loading profile data...