Details

Time bar (total: 2.8s)

sample22.0ms

Algorithm
intervals
Results
7.0ms279×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0175
1355
2605
3965
41405
51745
62025
72425
82895
93835
105235
118185
128615
138635
148635

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) t)
13.0b
(/ (* (- y z) t) (- a z))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*l* associate-/r*
4×pow1 associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
21.0ms
(* (- y z) t)
22.0ms
(/ (* (- y z) t) (- a z))

series85.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* (- y z) t)
60.0ms
(/ (* (- y z) t) (- a z))

simplify36.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0256263
11188226
25001226

prune132.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a z) t)
8.8b
(/ (- y z) (/ (- a z) t))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
170×add-sqr-sqrt *-un-lft-identity
86×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
22×associate-/r*
10×associate-/l*
9×add-exp-log add-cbrt-cube
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 flip3-- frac-2neg div-sub clear-num flip-- add-log-exp
1×associate-/r/
Counts
2 → 175
Calls
2 calls:
18.0ms
(/ (- a z) t)
26.0ms
(/ (- y z) (/ (- a z) t))

series112.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (- a z) t)
88.0ms
(/ (- y z) (/ (- a z) t))

simplify68.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
07021608
127591557
250021556

prune403.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- a z))
8.5b
(* (- y z) (/ t (- a z)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 83
Calls
2 calls:
11.0ms
(/ t (- a z))
45.0ms
(* (- y z) (/ t (- a z)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ t (- a z))
57.0ms
(* (- y z) (/ t (- a z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0293474
11347437
25002437

prune204.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
3.3b
(* (/ (- y z) (- a z)) t)

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
21.0ms
(/ (- y z) (- a z))
46.0ms
(* (/ (- y z) (- a z)) t)

series131.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (- y z) (- a z))
89.0ms
(* (/ (- y z) (- a z)) t)

simplify104.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0360653
11125612
24528611
35002611

prune228.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes131.0ms

Accuracy

32.8% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 3.1b

bsearch71.0ms

Steps
ItersRangePoint
8
5.597945317132926e-91
2.196397837338142e-86
1.1132363374893718e-86
9
-2.7077340796637935e-295
-1.2877603006343203e-300
-2.6739826444387435e-295

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02510
12510

end0.0ms

sample603.0ms

Algorithm
intervals
Results
249.0ms8729×body80valid