Details

Time bar (total: 4.4s)

sample16.0ms

Algorithm
intervals
Results
7.0ms267×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1304
2654
31564
43024
54704
68654
712434
815454
917054
1017054

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
6.4b
(/ x (* (- y z) (- t z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
8.0ms
(* (- y z) (- t z))
8.0ms
(/ x (* (- y z) (- t z)))

series144.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- y z) (- t z))
115.0ms
(/ x (* (- y z) (- t z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0300403
11371359
25001355

prune157.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- t z))
0.0b
(/ 1 (- y z))
1.6b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×rec-exp 1-exp add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 150
Calls
3 calls:
8.0ms
(/ x (- t z))
5.0ms
(/ 1 (- y z))
19.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series258.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ x (- t z))
35.0ms
(/ 1 (- y z))
196.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0518909
12245798
25001758

prune291.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.5b
(/ (/ x (- t z)) (- y z))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
5.0ms
(/ x (- t z))
11.0ms
(/ (/ x (- t z)) (- y z))

series146.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ x (- t z))
119.0ms
(/ (/ x (- t z)) (- y z))

simplify60.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06361735
123041691
250011691

prune498.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- t z))
0.8b
(/ 1 (/ (- y z) (/ x (- t z))))
1.5b
(/ (- y z) (/ x (- t z)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
1260×times-frac
844×add-sqr-sqrt *-un-lft-identity
468×add-cube-cbrt
188×distribute-lft-out-- difference-of-squares
136×associate-/r*
60×associate-/r/
33×div-inv
31×add-exp-log
28×flip3-- flip--
19×div-exp add-cbrt-cube
11×associate-/l*
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp clear-num add-log-exp
2×associate-/l/
1×pow-flip div-sub inv-pow
Counts
3 → 654
Calls
3 calls:
5.0ms
(/ x (- t z))
29.0ms
(/ 1 (/ (- y z) (/ x (- t z))))
11.0ms
(/ (- y z) (/ x (- t z)))

series287.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ x (- t z))
207.0ms
(/ 1 (/ (- y z) (/ x (- t z))))
52.0ms
(/ (- y z) (/ x (- t z)))

simplify112.0ms

Algorithm
egg-herbie
Counts
663 → 663
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
018627905
150017526

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes182.0ms

Accuracy

15% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.6b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02315
12315

end0.0ms

sample419.0ms

Algorithm
intervals
Results
220.0ms8412×body80valid