Details

Time bar (total: 4.5s)

sample21.0ms

Algorithm
intervals
Results
12.0ms264×body80valid

simplify74.0ms

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: 19.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
19.0b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite21.0ms

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))
11.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series87.0ms

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

simplify58.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0381490
12039406
25001402

prune121.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite47.0ms

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))
28.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series185.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ (- t1) (+ t1 u))
28.0ms
(/ v (+ t1 u))
117.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify59.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05931285
127001201
250021197

prune375.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ (+ t1 u) t1)
0.2b
(/ (- 1) (/ (+ t1 u) t1))
0.8b
(* (/ (- 1) (/ (+ t1 u) t1)) (/ v (+ t1 u)))

rewrite110.0ms

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:
5.0ms
(/ v (+ t1 u))
5.0ms
(/ (+ t1 u) t1)
11.0ms
(/ (- 1) (/ (+ t1 u) t1))
60.0ms
(* (/ (- 1) (/ (+ t1 u) t1)) (/ v (+ t1 u)))

series214.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ v (+ t1 u))
26.0ms
(/ (+ t1 u) t1)
40.0ms
(/ (- 1) (/ (+ t1 u) t1))
124.0ms
(* (/ (- 1) (/ (+ t1 u) t1)) (/ v (+ t1 u)))

simplify73.0ms

Algorithm
egg-herbie
Counts
495 → 495
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
015034138
150013676

prune918.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ t1 u) t1)
0.3b
(/ (- (/ v (/ (+ t1 u) t1))) (+ t1 u))
1.5b
(/ v (/ (+ t1 u) t1))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
1388×times-frac
1021×*-un-lft-identity
587×add-sqr-sqrt add-cube-cbrt
265×distribute-lft-neg-in distribute-rgt-neg-in
217×distribute-lft-out
117×associate-/l*
47×div-inv
23×associate-/r*
13×associate-/r/
12×add-exp-log add-cbrt-cube
5×cbrt-undiv neg-mul-1 div-exp
3×pow1 frac-2neg clear-num associate-/l/ add-log-exp
2×flip3-+ flip-+
1×neg-sub0 div-sub distribute-frac-neg distribute-neg-frac
Counts
3 → 686
Calls
3 calls:
5.0ms
(/ (+ t1 u) t1)
32.0ms
(/ (- (/ v (/ (+ t1 u) t1))) (+ t1 u))
8.0ms
(/ v (/ (+ t1 u) t1))

series109.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(/ (+ t1 u) t1)
57.0ms
(/ (- (/ v (/ (+ t1 u) t1))) (+ t1 u))
30.0ms
(/ v (/ (+ t1 u) t1))

simplify109.0ms

Algorithm
egg-herbie
Counts
695 → 695
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
019538468
150018191

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (1.1b remaining)

Error of 1.3b against oracle of 0.3b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136
1136

end0.0ms

sample398.0ms

Algorithm
intervals
Results
227.0ms8273×body80valid