Details

Time bar (total: 4.5s)

sample17.0ms

Algorithm
intervals
Results
7.0ms267×body80valid

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1304
2694
31824
44014
56594
614034
718374
823874
927594
1027634
1127634

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.0b
(/ x (* (- y z) (- t z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u 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 → 85
Calls
2 calls:
10.0ms
(* (- y z) (- t z))
9.0ms
(/ x (* (- y z) (- t z)))

series169.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* (- y z) (- t z))
134.0ms
(/ x (* (- y z) (- t z)))

simplify64.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0384705
11834535
25002528

prune198.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

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×expm1-log1p-u rec-exp 1-exp log1p-expm1-u 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 → 156
Calls
3 calls:
6.0ms
(/ 1 (- y z))
5.0ms
(/ x (- t z))
20.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series297.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (- y z))
32.0ms
(/ x (- t z))
228.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify68.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0528932
12265821
25002781

prune348.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
1.3b
(/ (/ x (- t z)) (cbrt (- y z)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
303×times-frac
236×add-sqr-sqrt *-un-lft-identity
132×add-cube-cbrt
125×cbrt-prod
52×distribute-lft-out-- difference-of-squares
21×associate-/l*
20×associate-/r/
13×flip3-- flip--
10×div-inv
9×add-exp-log
8×cbrt-div associate-/r*
7×add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×frac-2neg clear-num associate-/l/
Counts
4 → 267
Calls
4 calls:
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
14.0ms
(/ (/ x (- t z)) (cbrt (- y z)))

series704.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(cbrt (- y z))
169.0ms
(cbrt (- y z))
165.0ms
(cbrt (- y z))
206.0ms
(/ (/ x (- t z)) (cbrt (- y z)))

simplify110.0ms

Algorithm
egg-herbie
Counts
279 → 279
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
08903160
134533097
250012996

prune942.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.4b
(/ (/ x (- y z)) (- t z))

rewrite33.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 189
Calls
2 calls:
5.0ms
(/ x (- y z))
17.0ms
(/ (/ x (- y z)) (- t z))

series169.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ x (- y z))
134.0ms
(/ (/ x (- y z)) (- t z))

simplify74.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
06441751
123221707
250011707

prune449.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes195.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01823
11823

end0.0ms

sample430.0ms

Algorithm
intervals
Results
224.0ms8416×body80valid