Details

Time bar (total: 5.9s)

sample19.0ms

Algorithm
intervals
Results
7.0ms280×body80valid

simplify93.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
8.4b
(/ (* x (- y z)) (- t z))

rewrite32.0ms

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:
12.0ms
(* x (- y z))
14.0ms
(/ (* x (- y z)) (- t z))

series113.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* x (- y z))
71.0ms
(/ (* x (- y z)) (- t z))

simplify60.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0346543
11624380
25001380

prune162.0ms

Filtered
83 candidates to 46 candidates (55.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
3.2b
(/ x (/ (- t z) (- y z)))

rewrite39.0ms

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:
12.0ms
(/ (- t z) (- y z))
15.0ms
(/ x (/ (- t z) (- y z)))

series217.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- t z) (- y z))
167.0ms
(/ x (/ (- t z) (- y z)))

simplify93.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
06421801
128871748
250011745

prune487.0ms

Filtered
204 candidates to 137 candidates (67.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

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))
3.2b
(/ x (- (/ t (- y z)) (/ z (- y z))))

rewrite233.0ms

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))
72.0ms
(- (/ t (- y z)) (/ z (- y z)))
8.0ms
(/ t (- y z))
78.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

series283.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ z (- y z))
76.0ms
(- (/ t (- y z)) (/ z (- y z)))
32.0ms
(/ t (- y z))
121.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

simplify216.0ms

Algorithm
egg-herbie
Counts
676 → 676
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
0141216598
1437312324
2500112324

prune1.4s

Filtered
676 candidates to 326 candidates (48.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (- y z))
0.0b
(/ t (- y z))
0.3b
(/ 1 (/ (- (/ t (- y z)) (/ z (- y z))) x))
3.2b
(/ (- (/ t (- y z)) (/ z (- y z))) x)

rewrite323.0ms

Algorithm
rewrite-expression-head
Rules
762×times-frac
658×*-un-lft-identity
498×add-sqr-sqrt
226×add-cube-cbrt
200×distribute-lft-out--
104×difference-of-squares
71×associate-/r*
69×associate-/r/
48×distribute-rgt-out--
40×div-inv
35×flip3-- flip--
27×associate-/l*
21×add-exp-log
15×add-cbrt-cube
10×div-exp
6×cbrt-undiv
5×pow1
4×expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
2×rec-exp 1-exp
1×pow-flip div-sub frac-sub inv-pow sub-div
Counts
4 → 430
Calls
4 calls:
6.0ms
(/ z (- y z))
5.0ms
(/ t (- y z))
88.0ms
(/ 1 (/ (- (/ t (- y z)) (/ z (- y z))) x))
178.0ms
(/ (- (/ t (- y z)) (/ z (- y z))) x)

series355.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ z (- y z))
30.0ms
(/ t (- y z))
167.0ms
(/ 1 (/ (- (/ t (- y z)) (/ z (- y z))) x))
112.0ms
(/ (- (/ t (- y z)) (/ z (- y z))) x)

simplify87.0ms

Algorithm
egg-herbie
Counts
442 → 442
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013275111
150014683

prune1.1s

Filtered
442 candidates to 275 candidates (62.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes176.0ms

Accuracy

48.9% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.5b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02218
12218

end0.0ms

sample449.0ms

Algorithm
intervals
Results
230.0ms8737×body80valid