Details

Time bar (total: 3.8s)

sample18.0ms

Algorithm
intervals
Results
6.0ms269×body80valid

simplify63.0ms

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: 8.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
8.8b
(/ x (* (- y z) (- t z)))

rewrite57.0ms

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:
35.0ms
(* (- y z) (- t z))
20.0ms
(/ x (* (- y z) (- t z)))

series161.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* (- y z) (- t z))
125.0ms
(/ x (* (- y z) (- t z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0300403
11371359
25001355

prune153.0ms

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
(/ 1 (- y z))
0.0b
(/ x (- t z))
1.1b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite88.0ms

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:
12.0ms
(/ 1 (- y z))
12.0ms
(/ x (- t z))
58.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series284.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 1 (- y z))
31.0ms
(/ x (- t z))
218.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify58.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0518909
12264798
25002758

prune277.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t z))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
10×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×cbrt-div
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 48
Calls
4 calls:
4.0ms
(cbrt (- t z))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series663.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (- t z))
165.0ms
(cbrt x)
170.0ms
(cbrt x)
182.0ms
(cbrt x)

simplify161.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 4 (157.0ms)

IterNodesCost
0175224
1378210
21125201
34607197
45001190

prune207.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.1b
(/ (/ x (- t z)) (- y z))

rewrite54.0ms

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:
11.0ms
(/ x (- t z))
32.0ms
(/ (/ x (- t z)) (- y z))

series162.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ x (- t z))
132.0ms
(/ (/ x (- t z)) (- y z))

simplify57.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
06361735
123041691
250011691

prune423.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01516
11516

end0.0ms

sample686.0ms

Algorithm
intervals
Results
398.0ms8452×body80valid