Details

Time bar (total: 2.7s)

sample16.0ms

Algorithm
intervals
Results
6.0ms306×body80valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1223
2443
3703
41003
51173
64203
729763
850013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.5b
(/ (* x (- y z)) y)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
12.0ms
(* x (- y z))
11.0ms
(/ (* x (- y z)) y)

series88.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (- y z))
49.0ms
(/ (* x (- y z)) y)

simplify45.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0299483
11416328
25001328

prune121.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.1b
(/ x (/ y (- y z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
6.0ms
(/ y (- y z))
11.0ms
(/ x (/ y (- y z)))

series101.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ y (- y z))
57.0ms
(/ x (/ y (- y z)))

simplify64.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04791057
122391019
250021016

prune348.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
2.2b
(* x (/ (- y z) y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 80
Calls
2 calls:
9.0ms
(/ (- y z) y)
16.0ms
(* x (/ (- y z) y))

series88.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (- y z) y)
56.0ms
(* x (/ (- y z) y))

simplify45.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0270409
11205378
25001377

prune176.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- y z))
12.2b
(/ (/ x y) (/ 1 (- y z)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
384×add-sqr-sqrt *-un-lft-identity
292×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
38×div-inv
31×associate-/r/
28×add-exp-log
26×associate-/r*
18×div-exp
16×add-cbrt-cube associate-/l*
15×flip3-- flip--
9×cbrt-undiv
3×pow1 rec-exp 1-exp
2×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
2 → 376
Calls
2 calls:
6.0ms
(/ 1 (- y z))
21.0ms
(/ (/ x y) (/ 1 (- y z)))

series94.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ 1 (- y z))
59.0ms
(/ (/ x y) (/ 1 (- y z)))

simplify86.0ms

Algorithm
egg-herbie
Counts
382 → 382
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
016434146
150013754

prune718.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes106.0ms

Accuracy

42.2% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 3.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01912
11912

end0.0ms

sample413.0ms

Algorithm
intervals
Results
211.0ms9605×body80valid