Details

Time bar (total: 3.0s)

sample21.0ms

Algorithm
intervals
Results
11.0ms319×body80valid

simplify76.0ms

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: 9.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
8.6b
(/ (* x (- y z)) y)

rewrite24.0ms

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:
11.0ms
(* x (- y z))
10.0ms
(/ (* x (- y z)) y)

series87.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* x (- y z))
52.0ms
(/ (* x (- y z)) y)

simplify45.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0299483
11416328
25001328

prune106.0ms

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))
3.3b
(/ 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:
7.0ms
(/ y (- y z))
9.0ms
(/ x (/ y (- y z)))

series91.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ y (- y z))
46.0ms
(/ x (/ y (- y z)))

simplify57.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04791057
122391019
250021016

prune287.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- y z))
0.2b
(/ 1 (/ (/ y (- y z)) x))
3.3b
(/ (/ y (- y z)) x)

rewrite76.0ms

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:
5.0ms
(/ y (- y z))
21.0ms
(/ 1 (/ (/ y (- y z)) x))
14.0ms
(/ (/ y (- y z)) x)

series150.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ y (- y z))
44.0ms
(/ 1 (/ (/ y (- y z)) x))
63.0ms
(/ (/ y (- y z)) x)

simplify81.0ms

Algorithm
egg-herbie
Counts
450 → 450
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
014134478
150014011

prune857.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
8.7b
(* (/ 1 y) (* x (- y z)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
51×add-sqr-sqrt
49×*-un-lft-identity
47×add-cube-cbrt
26×add-exp-log
16×associate-*l* add-cbrt-cube
13×prod-exp
9×pow1 times-frac
8×associate-*r/
7×cbrt-unprod
6×sub-neg associate-*r*
4×div-exp pow-prod-down
3×flip3-- flip--
2×cbrt-undiv expm1-log1p-u frac-times rec-exp 1-exp *-commutative log1p-expm1-u add-log-exp
1×associate-*l/ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 133
Calls
2 calls:
11.0ms
(* x (- y z))
23.0ms
(* (/ 1 y) (* x (- y z)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* x (- y z))
48.0ms
(* (/ 1 y) (* x (- y z)))

simplify73.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06571314
12642759
25002752

prune140.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes152.0ms

Accuracy

85.6% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02727
13027
23327
33327

end0.0ms

sample520.0ms

Algorithm
intervals
Results
321.0ms9572×body80valid