Details

Time bar (total: 5.1s)

sample27.0ms

Algorithm
intervals
Results
17.0ms264×body80valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1656
21326
32086
42506
52876
63076
73476
84206
95736
1018836
1150016

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
18.0b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-exp-log add-cbrt-cube
12×flip3-+ flip-+
9×pow1
8×add-sqr-sqrt frac-times associate-/r/
6×add-cube-cbrt swap-sqr distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv associate-*r/ div-exp associate-*r* associate-*l* associate-*l/
2×add-log-exp
1×distribute-lft-neg-out pow2 distribute-rgt-in frac-2neg distribute-lft-in times-frac pow-plus distribute-frac-neg pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 70
Calls
2 calls:
16.0ms
(* (+ t1 u) (+ t1 u))
9.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* (+ t1 u) (+ t1 u))
75.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify60.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0381490
12039406
25001402

prune131.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))
1.2b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
125×*-un-lft-identity
108×times-frac
81×add-sqr-sqrt
69×add-cube-cbrt
46×associate-*l*
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
19×add-exp-log add-cbrt-cube
18×associate-*r*
13×associate-/l*
9×neg-mul-1
8×associate-/r* associate-/r/
6×cbrt-undiv div-exp
5×pow1
4×flip3-+ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
3×add-log-exp
2×frac-2neg distribute-frac-neg clear-num
1×distribute-lft-neg-out neg-sub0 frac-times div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 192
Calls
3 calls:
8.0ms
(/ v (+ t1 u))
7.0ms
(/ (- t1) (+ t1 u))
42.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series198.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ v (+ t1 u))
47.0ms
(/ (- t1) (+ t1 u))
126.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify62.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05931285
127001201
250021197

prune386.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ (+ t1 u) t1)
0.5b
(/ (- 1) (/ (+ t1 u) t1))
1.2b
(* (/ (- 1) (/ (+ t1 u) t1)) (/ v (+ t1 u)))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
617×times-frac
446×*-un-lft-identity
319×add-sqr-sqrt
298×add-cube-cbrt
165×associate-*l*
99×distribute-lft-neg-in distribute-rgt-neg-in
74×distribute-lft-out
34×add-exp-log add-cbrt-cube
33×neg-mul-1
26×div-inv
23×associate-/r*
18×associate-*r*
17×associate-/l*
14×cbrt-undiv div-exp
6×pow1 prod-exp associate-/r/ cbrt-unprod unswap-sqr
4×add-log-exp
3×frac-2neg flip3-+ clear-num flip-+
2×distribute-frac-neg associate-/l/
1×distribute-lft-neg-out neg-sub0 frac-times div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 483
Calls
4 calls:
7.0ms
(/ v (+ t1 u))
8.0ms
(/ (+ t1 u) t1)
12.0ms
(/ (- 1) (/ (+ t1 u) t1))
93.0ms
(* (/ (- 1) (/ (+ t1 u) t1)) (/ v (+ t1 u)))

series224.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ v (+ t1 u))
23.0ms
(/ (+ t1 u) t1)
42.0ms
(/ (- 1) (/ (+ t1 u) t1))
129.0ms
(* (/ (- 1) (/ (+ t1 u) t1)) (/ v (+ t1 u)))

simplify70.0ms

Algorithm
egg-herbie
Counts
495 → 495
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015034138
150013676

prune966.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ -1 (+ t1 u))
0.0b
(/ v (+ t1 u))
0.2b
(/ (/ -1 (+ t1 u)) (/ 1 t1))
1.2b
(* (/ (/ -1 (+ t1 u)) (/ 1 t1)) (/ v (+ t1 u)))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
1194×times-frac
694×*-un-lft-identity
563×add-sqr-sqrt
506×add-cube-cbrt
239×associate-*l*
103×add-exp-log
92×distribute-lft-out
69×div-inv
62×associate-/r/
61×add-cbrt-cube
59×div-exp
31×cbrt-undiv
30×flip3-+ flip-+
24×associate-/l*
21×associate-/r*
18×associate-*r* prod-exp
14×unswap-sqr
10×cbrt-unprod
6×pow1 rec-exp 1-exp
4×add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 666
Calls
4 calls:
8.0ms
(/ -1 (+ t1 u))
5.0ms
(/ v (+ t1 u))
17.0ms
(/ (/ -1 (+ t1 u)) (/ 1 t1))
130.0ms
(* (/ (/ -1 (+ t1 u)) (/ 1 t1)) (/ v (+ t1 u)))

series230.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ -1 (+ t1 u))
29.0ms
(/ v (+ t1 u))
40.0ms
(/ (/ -1 (+ t1 u)) (/ 1 t1))
128.0ms
(* (/ (/ -1 (+ t1 u)) (/ 1 t1)) (/ v (+ t1 u)))

simplify105.0ms

Algorithm
egg-herbie
Counts
678 → 678
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
025886643
150015968

prune1.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1126

end0.0ms

sample552.0ms

Algorithm
intervals
Results
378.0ms8252×body80valid