Details

Time bar (total: 2.9s)

sample20.0ms

Algorithm
intervals
Results
12.0ms268×body80valid

simplify73.0ms

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)))

rewrite20.0ms

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:
8.0ms
(* (+ t1 u) (+ t1 u))
10.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* (+ t1 u) (+ t1 u))
73.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify57.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0381490
12039406
25001402

prune126.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
1.3b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite46.0ms

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:
6.0ms
(/ (- t1) (+ t1 u))
5.0ms
(/ v (+ t1 u))
27.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series184.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ (- t1) (+ t1 u))
24.0ms
(/ v (+ t1 u))
120.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify64.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05931285
127001201
250021197

prune370.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.8b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
7.7b
(* (- t1) (/ v (+ t1 u)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
30×add-sqr-sqrt
29×times-frac
25×add-cube-cbrt
19×add-exp-log add-cbrt-cube
18×associate-*r*
10×associate-*l*
9×distribute-lft-out
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×distribute-lft-neg-in distribute-rgt-neg-in flip3-+ flip-+ div-inv add-log-exp
2×distribute-lft-neg-out frac-2neg associate-*r/ clear-num unswap-sqr
1×neg-mul-1 distribute-frac-neg pow-prod-down *-commutative associate-/l/
Counts
3 → 107
Calls
3 calls:
5.0ms
(/ v (+ t1 u))
10.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
11.0ms
(* (- t1) (/ v (+ t1 u)))

series147.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ v (+ t1 u))
72.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
51.0ms
(* (- t1) (/ v (+ t1 u)))

simplify49.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0385649
12067570
25001570

prune213.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt v)
0.6b
(* (cbrt v) (cbrt v))
0.8b
(/ (* (- t1) (* (* (cbrt v) (cbrt v)) (/ (cbrt v) (+ t1 u)))) (+ t1 u))
7.7b
(* (- t1) (* (* (cbrt v) (cbrt v)) (/ (cbrt v) (+ t1 u))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
35×add-cbrt-cube
26×add-sqr-sqrt
23×prod-exp cbrt-unprod
22×*-un-lft-identity
20×pow1
19×cbrt-prod
18×add-cube-cbrt
16×associate-*l*
10×cbrt-undiv div-exp
8×pow-prod-down
7×pow1/3 associate-*r*
6×swap-sqr
4×times-frac associate-*r/ associate-/r* add-log-exp unswap-sqr
3×distribute-lft-neg-in distribute-rgt-neg-in
2×distribute-lft-neg-out associate-/r/ pow-sqr *-commutative pow-prod-up distribute-lft-out
1×pow2 neg-mul-1 frac-2neg flip3-+ pow-plus distribute-frac-neg clear-num flip-+ div-inv associate-/l/ associate-/l*
Counts
4 → 120
Calls
4 calls:
1.0ms
(cbrt v)
6.0ms
(* (cbrt v) (cbrt v))
20.0ms
(/ (* (- t1) (* (* (cbrt v) (cbrt v)) (/ (cbrt v) (+ t1 u)))) (+ t1 u))
14.0ms
(* (- t1) (* (* (cbrt v) (cbrt v)) (/ (cbrt v) (+ t1 u))))

series530.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt v)
192.0ms
(* (cbrt v) (cbrt v))
89.0ms
(/ (* (- t1) (* (* (cbrt v) (cbrt v)) (/ (cbrt v) (+ t1 u)))) (+ t1 u))
70.0ms
(* (- t1) (* (* (cbrt v) (cbrt v)) (/ (cbrt v) (+ t1 u))))

simplify85.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
04891131
12865820
25002753

prune260.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1166
2196
3216
4216

end0.0ms

sample378.0ms

Algorithm
intervals
Results
216.0ms8258×body80valid