Details

Time bar (total: 4.7s)

sample25.0ms

Algorithm
intervals
Results
13.0ms275×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0174
1254
2494
3784
41164
51414
61624
71754
81834
91874
101914
113024
123404
133664
144644
155334
166154
177214
188154
198244
208244

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
3.0b
(* (/ (- x y) (- z y)) t)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
11.0ms
(/ (- x y) (- z y))
24.0ms
(* (/ (- x y) (- z y)) t)

series144.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- x y) (- z y))
94.0ms
(* (/ (- x y) (- z y)) t)

simplify105.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune232.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))

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 expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 68
Calls
4 calls:
2.0ms
(cbrt (- z y))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))

series595.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (- z y))
152.0ms
(cbrt (- x y))
148.0ms
(cbrt (- x y))
147.0ms
(cbrt (- x y))

simplify54.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0240452
1531432
21479420
35001392

prune333.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (cbrt (- x y)))
0.6b
(cbrt (* (cbrt (- x y)) (cbrt (- x y))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
24×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
9×flip3-- flip--
8×add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u frac-times pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×distribute-lft-out-- difference-of-squares
2×associate-*r/ associate-*l/
Counts
4 → 73
Calls
4 calls:
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (cbrt (- x y)))
8.0ms
(cbrt (* (cbrt (- x y)) (cbrt (- x y))))

series572.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (- x y))
148.0ms
(cbrt (- x y))
147.0ms
(cbrt (cbrt (- x y)))
130.0ms
(cbrt (* (cbrt (- x y)) (cbrt (- x y))))

simplify69.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
0317629
1779599
22527588
35003573

prune412.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (cbrt (- x y)))
0.6b
(cbrt (* (cbrt (- x y)) (cbrt (- x y))))
0.6b
(cbrt (* (cbrt (- x y)) (cbrt (- x y))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
46×cbrt-div
20×cbrt-prod
14×flip3-- flip--
11×add-sqr-sqrt *-un-lft-identity
8×frac-times
7×add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u pow1/3 associate-*r/ associate-*l/ add-cbrt-cube log1p-expm1-u add-log-exp
2×distribute-lft-out-- difference-of-squares
Counts
4 → 75
Calls
4 calls:
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (cbrt (- x y)))
7.0ms
(cbrt (* (cbrt (- x y)) (cbrt (- x y))))
10.0ms
(cbrt (* (cbrt (- x y)) (cbrt (- x y))))

series549.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(cbrt (- x y))
148.0ms
(cbrt (cbrt (- x y)))
131.0ms
(cbrt (* (cbrt (- x y)) (cbrt (- x y))))
121.0ms
(cbrt (* (cbrt (- x y)) (cbrt (- x y))))

simplify70.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
0317756
1779718
22527708
35003698

prune431.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes227.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01618
11618

end0.0ms

sample641.0ms

Algorithm
intervals
Results
420.0ms8736×body80valid