Details

Time bar (total: 2.0s)

sample16.0ms

Algorithm
intervals
Results
6.0ms304×body80valid

simplify85.0ms

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: 12.2b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.7b
(/ (* x (- y z)) y)

rewrite18.0ms

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:
7.0ms
(* x (- y z))
8.0ms
(/ (* x (- y z)) y)

series94.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (- y z))
55.0ms
(/ (* x (- y z)) y)

simplify53.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0299483
11416328
25001328

prune122.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.7b
(/ x (/ y (- y z)))

rewrite22.0ms

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:
5.0ms
(/ y (- y z))
9.0ms
(/ x (/ y (- y z)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ y (- y z))
56.0ms
(/ x (/ y (- y z)))

simplify68.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
04791057
122391019
250021016

prune333.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
3.2b
(* x (/ (- y z) y))

rewrite22.0ms

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:
10.0ms
(/ (- y z) y)
10.0ms
(* x (/ (- y z) y))

series84.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (- y z) y)
51.0ms
(* x (/ (- y z) y))

simplify51.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0270409
11205378
25001377

prune177.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

3.2b
(* x (- 1 (/ z y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
78×prod-diff
75×*-un-lft-identity
71×add-cube-cbrt
56×times-frac
41×distribute-rgt-in distribute-lft-in
8×associate-*r*
6×div-inv
4×difference-of-squares
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp unswap-sqr
Counts
1 → 109
Calls
1 calls:
14.0ms
(* x (- 1 (/ z y)))

series31.0ms

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

simplify72.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05332053
122601359
250021073

prune74.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes86.0ms

Accuracy

-0.8% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.0b

bsearch57.0ms

Steps
ItersRangePoint
4
1.4654421863967304e-242
2.042760378847924e-242
1.6658243942797306e-242
9
-1.0460106670992606e-234
-1.4350650075064213e-241
-2.536534096236101e-241

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186
1186

end0.0ms

sample401.0ms

Algorithm
intervals
Results
210.0ms9544×body80valid