Details

Time bar (total: 3.0s)

sample16.0ms

Algorithm
intervals
Results
6.0ms302×body80valid

simplify71.0ms

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: 11.9b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.2b
(/ (* x (- y z)) y)

rewrite50.0ms

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:
23.0ms
(* x (- y z))
24.0ms
(/ (* x (- y z)) y)

series81.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* x (- y z))
49.0ms
(/ (* x (- y z)) y)

simplify47.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0299483
11416328
25001328

prune111.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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:
11.0ms
(/ y (- y z))
17.0ms
(/ x (/ y (- y z)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ y (- y z))
45.0ms
(/ x (/ y (- y z)))

simplify63.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04791057
122391019
250021016

prune325.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- y z))
0.3b
(/ 1 (/ (/ y (- y z)) x))
2.4b
(/ (/ y (- y z)) x)

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
439×add-sqr-sqrt *-un-lft-identity
335×add-cube-cbrt
75×associate-/r*
52×distribute-lft-out-- difference-of-squares
35×associate-/r/
31×add-exp-log
27×associate-/l*
23×div-inv
19×div-exp add-cbrt-cube
17×flip3-- flip--
10×cbrt-undiv
4×pow1
3×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 441
Calls
3 calls:
11.0ms
(/ y (- y z))
31.0ms
(/ 1 (/ (/ y (- y z)) x))
27.0ms
(/ (/ y (- y z)) x)

series145.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ y (- y z))
39.0ms
(/ 1 (/ (/ y (- y z)) x))
65.0ms
(/ (/ y (- y z)) x)

simplify95.0ms

Algorithm
egg-herbie
Counts
450 → 450
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
014134478
150014011

prune877.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
3.1b
(* x (/ (- y z) y))

rewrite50.0ms

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:
17.0ms
(/ (- y z) y)
30.0ms
(* x (/ (- y z) y))

series75.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (- y z) y)
46.0ms
(* x (/ (- y z) y))

simplify43.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0270409
11205378
25001377

prune165.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes64.0ms

Accuracy

-7.3% (3.5b remaining)

Error of 3.5b against oracle of 0.0b and baseline of 3.3b

bsearch55.0ms

Steps
ItersRangePoint
9
2.5621391374998962e-207
8.920174733308898e-202
6.957596946159085e-203
7
-8.708870663859879e-166
-2.7714262171513926e-167
-6.285461981990873e-166

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02411
12411

end0.0ms

sample436.0ms

Algorithm
intervals
Results
185.0ms9609×body80valid