Details

Time bar (total: 4.5s)

sample19.0ms

Algorithm
intervals
Results
8.0ms275×body80valid

simplify86.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1294
2564
3864
41184
51454
61564
71664
81674
91714
101754
112864
123244
133504
144484
155174
165994
177054
187994
198084
208084

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: 12.0b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 77
Calls
2 calls:
8.0ms
(* x (- y z))
11.0ms
(/ (* x (- y z)) (- t z))

series108.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* x (- y z))
71.0ms
(/ (* x (- y z)) (- t z))

simplify61.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0346543
11624380
25001380

prune150.0ms

Filtered
83 candidates to 46 candidates (55.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New79483
Fresh000
Picked101
Done000
Total80484

Merged error: 0.0b

Counts
84 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.5b
(* x (/ (- y z) (- t z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
9.0ms
(/ (- y z) (- t z))
15.0ms
(* x (/ (- y z) (- t z)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (- y z) (- t z))
74.0ms
(* x (/ (- y z) (- t z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0356664
11414623
25001623

prune245.0ms

Filtered
112 candidates to 75 candidates (67.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1102112
Fresh123
Picked011
Done000
Total1115116

Merged error: 0.0b

Counts
116 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.5b
(/ x (/ (- t z) (- y z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
9.0ms
(/ (- t z) (- y z))
13.0ms
(/ x (/ (- t z) (- y z)))

series220.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- t z) (- y z))
165.0ms
(/ x (/ (- t z) (- y z)))

simplify91.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
06421801
128871748
250011745

prune462.0ms

Filtered
204 candidates to 137 candidates (67.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2022204
Fresh123
Picked101
Done011
Total2045209

Merged error: 0b

Counts
209 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (- y z))
0.0b
(- (/ t (- y z)) (/ z (- y z)))
0.0b
(/ t (- y z))
2.5b
(/ x (- (/ t (- y z)) (/ z (- y z))))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
848×*-un-lft-identity
819×times-frac
798×add-sqr-sqrt
444×add-cube-cbrt
441×prod-diff
197×distribute-lft-out--
167×difference-of-squares
114×associate-/r/
57×flip3-- flip--
56×div-inv
28×associate-/r*
21×fma-neg
15×distribute-rgt-out--
10×add-exp-log add-cbrt-cube
9×associate-/l*
6×add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×cbrt-undiv frac-2neg div-exp clear-num
2×frac-sub sub-div
1×sub-neg diff-log
Counts
4 → 664
Calls
4 calls:
6.0ms
(/ z (- y z))
44.0ms
(- (/ t (- y z)) (/ z (- y z)))
6.0ms
(/ t (- y z))
31.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

series275.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(/ z (- y z))
74.0ms
(- (/ t (- y z)) (/ z (- y z)))
32.0ms
(/ t (- y z))
118.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

simplify228.0ms

Algorithm
egg-herbie
Counts
676 → 676
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
0141216598
1437312324
2500112324

prune1.4s

Filtered
676 candidates to 327 candidates (48.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New6742676
Fresh213
Picked011
Done011
Total6765681

Merged error: 0b

Counts
681 → 5

regimes127.0ms

Accuracy

6.5% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.4b

bsearch104.0ms

Steps
ItersRangePoint
9
1.9767834775588563e-47
1.635679606448013e-42
5.629860740103348e-46
10
-1.401094670789938e-177
-2.0721760722765166e-190
-6.582368882808144e-185

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02618
12618

end0.0ms

sample466.0ms

Algorithm
intervals
Results
246.0ms8671×body80valid