Details

Time bar (total: 2.0s)

sample20.0ms

Algorithm
intervals
Results
9.0ms316×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: 12.4b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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:
22.0ms
(* x (- y z))
21.0ms
(/ (* x (- y z)) y)

series73.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* x (- y z))
42.0ms
(/ (* x (- y z)) y)

simplify45.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0299483
11416328
25001328

prune99.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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:
10.0ms
(/ y (- y z))
16.0ms
(/ x (/ y (- y z)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ y (- y z))
45.0ms
(/ x (/ y (- y z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04791057
122391019
250021016

prune271.0ms

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

rewrite47.0ms

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:
16.0ms
(/ (- y z) y)
26.0ms
(* x (/ (- y z) y))

series68.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (- y z) y)
41.0ms
(* x (/ (- y z) y))

simplify38.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0270409
11205378
25001377

prune159.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.8b
(* (/ 1 y) (* x (- y z)))

rewrite80.0ms

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:
25.0ms
(* x (- y z))
48.0ms
(* (/ 1 y) (* x (- y z)))

series76.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* x (- y z))
41.0ms
(* (/ 1 y) (* x (- y z)))

simplify70.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06571314
12642759
25002752

prune122.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes72.0ms

Accuracy

-14.4% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 2.7b

bsearch45.0ms

Steps
ItersRangePoint
9
4.803745218902362e-300
2.9140304641644735e-294
5.758281187392746e-300
8
-1.1633564119265418e-100
-2.0882778719170116e-105
-5.0032800548876926e-101

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02310
12310

end0.0ms

sample441.0ms

Algorithm
intervals
Results
191.0ms9566×body80valid