Details

Time bar (total: 6.9s)

sample17.0ms

Algorithm
intervals
Results
7.0ms267×body80valid

simplify96.0ms

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: 6.5b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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)))

series168.0ms

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

simplify61.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0384705
11834535
25002528

prune203.0ms

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)))

rewrite38.0ms

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:
5.0ms
(/ x (- t z))
6.0ms
(/ 1 (- y z))
20.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series295.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ x (- t z))
36.0ms
(/ 1 (- y z))
229.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify283.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0528932
12284821
25001789

prune355.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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 (- t z))
12.0ms
(/ (/ x (- t z)) (- y z))

series163.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ x (- t z))
132.0ms
(/ (/ x (- t z)) (- y z))

simplify72.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
06441751
123221707
250011707

prune463.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite304.0ms

Algorithm
rewrite-expression-head
Rules
5159×times-frac
2900×add-sqr-sqrt *-un-lft-identity
1804×add-cube-cbrt
548×distribute-lft-out-- difference-of-squares
204×div-inv
170×associate-/r/
136×associate-/r*
78×flip3-- flip--
70×add-exp-log
58×div-exp
31×add-cbrt-cube
21×associate-/l*
19×cbrt-undiv
15×1-exp
6×rec-exp
3×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
3 → 1784
Calls
3 calls:
6.0ms
(/ x (- t z))
56.0ms
(/ (/ 1 1) (/ (- y z) (/ x (- t z))))
13.0ms
(/ (- y z) (/ x (- t z)))

series313.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ x (- t z))
222.0ms
(/ (/ 1 1) (/ (- y z) (/ x (- t z))))
59.0ms
(/ (- y z) (/ x (- t z)))

simplify301.0ms

Algorithm
egg-herbie
Counts
1793 → 1793
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
0500126820

prune3.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes185.0ms

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
02012
12012

end0.0ms

sample443.0ms

Algorithm
intervals
Results
226.0ms8412×body80valid