Details

Time bar (total: 6.5s)

sample22.0ms

Algorithm
intervals
Results
8.0ms279×body80valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1405
2805
31745
43695
55035
67695
711915
814515
916065
1016065

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
9.7b
(/ x (* (- y z) (- y t)))

rewrite58.0ms

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:
38.0ms
(* (- y z) (- y t))
17.0ms
(/ x (* (- y z) (- y t)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- y z) (- y t))
58.0ms
(/ x (* (- y z) (- y t)))

simplify49.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0304403
11399360
25002360

prune183.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- y t))
0.0b
(/ 1 (- y z))
1.9b
(* (/ 1 (- y z)) (/ x (- y t)))

rewrite93.0ms

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:
11.0ms
(/ x (- y t))
12.0ms
(/ 1 (- y z))
61.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

series202.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ x (- y t))
35.0ms
(/ 1 (- y z))
135.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

simplify60.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0522909
12258798
25001758

prune330.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y t))
1.9b
(/ (/ x (- y t)) (- y z))

rewrite56.0ms

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:
14.0ms
(/ x (- y t))
31.0ms
(/ (/ x (- y t)) (- y z))

series94.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ x (- y t))
60.0ms
(/ (/ x (- y t)) (- y z))

simplify70.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
06401735
123171691
250011691

prune464.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y t))
0.6b
(cbrt (- y t))
0.6b
(cbrt (- y t))
1.9b
(/ (/ (/ x (* (cbrt (- y t)) (cbrt (- y t)))) (cbrt (- y t))) (- y z))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
1494×times-frac
856×add-sqr-sqrt *-un-lft-identity
594×cbrt-div
465×cbrt-prod
416×add-cube-cbrt
398×associate-/r/
298×flip3-- flip--
220×distribute-lft-out-- difference-of-squares
192×frac-times
126×associate-/l*
96×associate-*r/ associate-*l/
55×div-inv
18×add-exp-log
13×add-cbrt-cube
9×cbrt-undiv div-exp
5×associate-/r*
4×pow1 add-log-exp
3×pow1/3
1×frac-2neg prod-exp clear-num cbrt-unprod associate-/l/
Counts
4 → 827
Calls
4 calls:
4.0ms
(cbrt (- y t))
4.0ms
(cbrt (- y t))
4.0ms
(cbrt (- y t))
95.0ms
(/ (/ (/ x (* (cbrt (- y t)) (cbrt (- y t)))) (cbrt (- y t))) (- y z))

series527.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(cbrt (- y t))
154.0ms
(cbrt (- y t))
157.0ms
(cbrt (- y t))
61.0ms
(/ (/ (/ x (* (cbrt (- y t)) (cbrt (- y t)))) (cbrt (- y t))) (- y z))

simplify203.0ms

Algorithm
egg-herbie
Counts
839 → 839
Iterations

Useful iterations: 1 (48.0ms)

IterNodesCost
0283718575
1500218448

prune3.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1176
2176

end0.0ms

sample549.0ms

Algorithm
intervals
Results
239.0ms8458×body80valid