Details

Time bar (total: 9.0s)

sample23.0ms

Algorithm
intervals
Results
9.0ms352×body80valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0164
1324
2694
31484
42384
53644
65184
76384
87404
98134
108424
118424

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
5.6b
(/ (* y (- z t)) a)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
10.0ms
(* y (- z t))
7.0ms
(/ (* y (- z t)) a)

series86.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* y (- z t))
51.0ms
(/ (* y (- z t)) a)

simplify33.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0231226
11033189
25002189

prune118.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×distribute-lft-out
4×add-exp-log distribute-rgt-neg-out add-cbrt-cube associate-/l* add-log-exp
3×associate-/r*
2×pow1 flip3-+ div-sub unsub-neg flip-+ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 49
Calls
2 calls:
3.0ms
(+ (* y z) (* y (- t)))
9.0ms
(/ (+ (* y z) (* y (- t))) a)

series87.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (* y z) (* y (- t)))
52.0ms
(/ (+ (* y z) (* y (- t))) a)

simplify138.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (133.0ms)

IterNodesCost
0214397
1879332
24239322
35002317

prune135.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (/ a y) (- z t)))
8.2b
(/ (/ a y) (- z t))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
458×add-sqr-sqrt *-un-lft-identity
326×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
32×div-inv
28×add-exp-log
18×div-exp
16×add-cbrt-cube associate-/l*
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip--
3×pow1 rec-exp 1-exp
2×frac-2neg clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
2 → 412
Calls
2 calls:
21.0ms
(/ 1 (/ (/ a y) (- z t)))
10.0ms
(/ (/ a y) (- z t))

series91.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ 1 (/ (/ a y) (- z t)))
36.0ms
(/ (/ a y) (- z t))

simplify69.0ms

Algorithm
egg-herbie
Counts
418 → 418
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013534389
150013926

prune873.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
0.7b
(/ (/ (* (cbrt a) (cbrt a)) (* (cbrt y) (cbrt y))) (/ (- z t) (/ (cbrt a) (cbrt y))))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
3511×times-frac
1689×add-sqr-sqrt *-un-lft-identity
1209×add-cube-cbrt
1089×cbrt-prod
243×div-inv
240×distribute-lft-out-- difference-of-squares
205×associate-/r*
73×add-exp-log
42×cbrt-undiv div-exp
39×add-cbrt-cube
12×prod-exp cbrt-unprod
7×associate-/r/
5×associate-/l*
4×pow1 add-log-exp
3×pow1/3
1×frac-2neg clear-num associate-/l/
Counts
4 → 1310
Calls
4 calls:
0.0ms
(cbrt a)
0.0ms
(cbrt a)
1.0ms
(cbrt a)
70.0ms
(/ (/ (* (cbrt a) (cbrt a)) (* (cbrt y) (cbrt y))) (/ (- z t) (/ (cbrt a) (cbrt y))))

series573.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt a)
173.0ms
(cbrt a)
174.0ms
(cbrt a)
46.0ms
(/ (/ (* (cbrt a) (cbrt a)) (* (cbrt y) (cbrt y))) (/ (- z t) (/ (cbrt a) (cbrt y))))

simplify271.0ms

Algorithm
egg-herbie
Counts
1322 → 1322
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
0500133662

prune5.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes165.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01915
11915

end0.0ms

sample630.0ms

Algorithm
intervals
Results
302.0ms10801×body80valid