Details

Time bar (total: 5.2s)

sample29.0ms

Algorithm
intervals
Results
17.0ms280×body80valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1355
2565
3945
41505
51855
62035
72305
82805
93685
104575
117235
129225
1310385
1410605
1510605

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- z a))))
0.0b
(/ (- z t) (- z a))
1.8b
(* y (/ (- z t) (- z a)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 113
Calls
3 calls:
2.0ms
(+ x (* y (/ (- z t) (- z a))))
13.0ms
(/ (- z t) (- z a))
24.0ms
(* y (/ (- z t) (- z a)))

series178.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(+ x (* y (/ (- z t) (- z a))))
44.0ms
(/ (- z t) (- z a))
61.0ms
(* y (/ (- z t) (- z a)))

simplify51.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0423747
11655704
25001704

prune277.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 60
Calls
4 calls:
2.0ms
(cbrt (- z t))
2.0ms
(cbrt (- z a))
2.0ms
(cbrt (- z a))
2.0ms
(cbrt (- z a))

series598.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (- z t))
152.0ms
(cbrt (- z a))
150.0ms
(cbrt (- z a))
150.0ms
(cbrt (- z a))

simplify175.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 4 (169.0ms)

IterNodesCost
0243428
1523408
21374396
34708375
45001367

prune307.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 60
Calls
4 calls:
2.0ms
(cbrt (- z a))
2.0ms
(cbrt (- z a))
2.0ms
(cbrt (- z a))
2.0ms
(cbrt (- z a))

series611.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(cbrt (- z a))
155.0ms
(cbrt (- z a))
150.0ms
(cbrt (- z a))
154.0ms
(cbrt (- z a))

simplify118.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 4 (112.0ms)

IterNodesCost
0144428
1307408
2833396
32860376
45001368

prune357.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (- z t)))
0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))
0.6b
(cbrt (- z a))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
17×add-sqr-sqrt *-un-lft-identity
10×cbrt-div
9×add-cube-cbrt
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 63
Calls
4 calls:
3.0ms
(cbrt (cbrt (- z t)))
2.0ms
(cbrt (- z a))
2.0ms
(cbrt (- z a))
2.0ms
(cbrt (- z a))

series611.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(cbrt (cbrt (- z t)))
151.0ms
(cbrt (- z a))
148.0ms
(cbrt (- z a))
153.0ms
(cbrt (- z a))

simplify189.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 4 (182.0ms)

IterNodesCost
0273476
1571454
21480442
34921421
45001410

prune341.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes340.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01919
11919

end0.0ms

sample800.0ms

Algorithm
intervals
Results
527.0ms8709×body80valid
0.0ms1×body640valid