Details

Time bar (total: 2.2s)

sample20.0ms

Algorithm
intervals
Results
8.0ms339×body80valid

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1284
2484
3794
41214
51494
62184
73204
83964
95994
108934
1112784
1221734
1337544
1450014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) z)
0.0b
(+ x (/ (* (- y x) z) t))
5.6b
(/ (* (- y x) z) t)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 57
Calls
3 calls:
10.0ms
(* (- y x) z)
4.0ms
(+ x (/ (* (- y x) z) t))
6.0ms
(/ (* (- y x) z) t)

series106.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* (- y x) z)
37.0ms
(+ x (/ (* (- y x) z) t))
41.0ms
(/ (* (- y x) z) t)

simplify36.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0283314
11117267
25001267

prune137.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
7.4b
(/ (- y x) (/ t z))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
27.0ms
(+ x (/ (- y x) (/ t z)))
10.0ms
(/ (- y x) (/ t z))

series77.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ x (/ (- y x) (/ t z)))
44.0ms
(/ (- y x) (/ t z))

simplify55.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0609959
12199914
25001913

prune243.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
6.9b
(* (- y x) (/ z t))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
3.0ms
(+ x (* (- y x) (/ z t)))
15.0ms
(* (- y x) (/ z t))

series76.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ x (* (- y x) (/ z t)))
40.0ms
(* (- y x) (/ z t))

simplify35.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0296310
11245287
25001275

prune113.0ms

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
(+ x (* (/ (- y x) t) z))
0.0b
(/ (- y x) t)
5.4b
(* (/ (- y x) t) z)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*l*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*r* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
2.0ms
(+ x (* (/ (- y x) t) z))
7.0ms
(/ (- y x) t)
15.0ms
(* (/ (- y x) t) z)

series107.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ x (* (/ (- y x) t) z))
26.0ms
(/ (- y x) t)
46.0ms
(* (/ (- y x) t) z)

simplify38.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0347496
11161462
25001450

prune184.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes114.0ms

Accuracy

-3.2% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.8b

bsearch61.0ms

Steps
ItersRangePoint
8
7.810543416066777e-232
3.782924179407974e-229
2.8759426315168583e-230
8
-1.3739176815156366e-215
-2.7023861452446495e-219
-4.541689631321959e-219

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02512
12512

end0.0ms

sample533.0ms

Algorithm
intervals
Results
274.0ms10619×body80valid