Details

Time bar (total: 5.2s)

sample19.0ms

Algorithm
intervals
Results
8.0ms281×body80valid

simplify82.0ms

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: 10.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
9.5b
(/ (* x (- y z)) (- t z))

rewrite30.0ms

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:
13.0ms
(* x (- y z))
15.0ms
(/ (* x (- y z)) (- t z))

series118.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* x (- y z))
74.0ms
(/ (* x (- y z)) (- t z))

simplify57.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0346543
11624380
25001380

prune165.0ms

Filtered
83 candidates to 46 candidates (55.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.9b
(* x (/ (- y z) (- t z)))

rewrite49.0ms

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:
13.0ms
(/ (- y z) (- t z))
31.0ms
(* x (/ (- y z) (- t z)))

series131.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- y z) (- t z))
76.0ms
(* x (/ (- y z) (- t z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0356664
11414623
25001623

prune264.0ms

Filtered
112 candidates to 73 candidates (65.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- t z))
0.0b
(/ z (- t z))
2.9b
(* x (- (/ y (- t z)) (/ z (- t z))))

rewrite406.0ms

Algorithm
rewrite-expression-head
Rules
1329×*-un-lft-identity
1321×add-sqr-sqrt
1308×times-frac
882×prod-diff
783×add-cube-cbrt
443×distribute-rgt-in distribute-lft-in
272×distribute-lft-out--
266×difference-of-squares
176×associate-/r/
89×flip3-- flip--
88×div-inv
18×associate-*r*
10×associate-/r*
9×add-exp-log add-cbrt-cube
6×associate-/l*
5×pow1
4×associate-*r/
3×expm1-log1p-u distribute-rgt-out-- associate-*l* log1p-expm1-u add-log-exp
2×cbrt-undiv sub-neg frac-2neg div-exp clear-num
1×pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod sub-div unswap-sqr
Counts
3 → 1003
Calls
3 calls:
6.0ms
(/ y (- t z))
6.0ms
(/ z (- t z))
261.0ms
(* x (- (/ y (- t z)) (/ z (- t z))))

series179.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ y (- t z))
53.0ms
(/ z (- t z))
95.0ms
(* x (- (/ y (- t z)) (/ z (- t z))))

simplify295.0ms

Algorithm
egg-herbie
Counts
1012 → 1012
Iterations

Useful iterations: 1 (51.0ms)

IterNodesCost
0198132252
1500126201

prune1.8s

Filtered
1012 candidates to 302 candidates (29.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
3.1b
(/ x (/ (- t z) (- y z)))

rewrite47.0ms

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:
14.0ms
(/ (- t z) (- y z))
16.0ms
(/ x (/ (- t z) (- y z)))

series224.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (- t z) (- y z))
166.0ms
(/ x (/ (- t z) (- y z)))

simplify93.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
06421801
128871748
250011745

prune501.0ms

Filtered
204 candidates to 136 candidates (66.7%)
Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes186.0ms

Accuracy

32.3% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02322
12322

end0.0ms

sample493.0ms

Algorithm
intervals
Results
251.0ms8741×body80valid