Details

Time bar (total: 2.9s)

sample18.0ms

Algorithm
intervals
Results
7.0ms286×body80valid

simplify81.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.6b
(/ (* x (- y z)) (- t z))

rewrite28.0ms

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

series118.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* x (- y z))
75.0ms
(/ (* x (- y z)) (- t z))

simplify56.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0346543
11624380
25001380

prune167.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
0.4b
(/ x (/ (- t z) (- y z)))

rewrite41.0ms

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))
17.0ms
(/ x (/ (- t z) (- y z)))

series219.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- t z) (- y z))
168.0ms
(/ x (/ (- t z) (- y z)))

simplify90.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06421801
128871748
250011745

prune492.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
0.4b
(/ x (* 1 (/ (- t z) (- y z))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt *-un-lft-identity
28×times-frac
18×add-exp-log
16×add-cube-cbrt
13×add-cbrt-cube
12×distribute-lft-out-- difference-of-squares
8×div-exp associate-/l*
6×associate-/r*
5×cbrt-undiv
4×prod-exp
3×associate-/r/
2×pow1 expm1-log1p-u flip3-- frac-2neg 1-exp clear-num flip-- cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp
1×div-sub associate-*r/
Counts
2 → 82
Calls
2 calls:
16.0ms
(/ (- t z) (- y z))
9.0ms
(/ x (* 1 (/ (- t z) (- y z))))

series216.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ (- t z) (- y z))
160.0ms
(/ x (* 1 (/ (- t z) (- y z))))

simplify48.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0375558
11389502
25001495

prune210.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
0.4b
(* x (/ (- y z) (- t z)))

rewrite43.0ms

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:
12.0ms
(/ (- y z) (- t z))
27.0ms
(* x (/ (- y z) (- t z)))

series131.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (- y z) (- t z))
77.0ms
(* x (/ (- y z) (- t z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0356664
11414623
25001623

prune246.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (1.7b remaining)

Error of 2.0b against oracle of 0.3b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1155
2155

end0.0ms

sample461.0ms

Algorithm
intervals
Results
237.0ms8802×body80valid