Details

Time bar (total: 3.9s)

sample29.0ms

Algorithm
intervals
Results
19.0ms277×body80valid

simplify56.0ms

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: 2.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.6b
(* (/ (- x y) (- z y)) t)

rewrite42.0ms

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:
12.0ms
(/ (- x y) (- z y))
25.0ms
(* (/ (- x y) (- z y)) t)

series147.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- x y) (- z y))
96.0ms
(* (/ (- x y) (- z y)) t)

simplify111.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune234.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (- x y) (/ 1 (- z y)))
2.6b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
10×associate-*l/
8×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp associate-*l* flip--
5×associate-/r*
4×frac-times pow-prod-down associate-/r/
3×cbrt-undiv expm1-log1p-u rec-exp 1-exp log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×associate-*r/ un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 125
Calls
3 calls:
6.0ms
(/ 1 (- z y))
24.0ms
(* (- x y) (/ 1 (- z y)))
35.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series186.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 1 (- z y))
53.0ms
(* (- x y) (/ 1 (- z y)))
99.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify54.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0402702
11906585
25003543

prune426.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.3b
(* (* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t))) (cbrt t))
1.6b
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
39×*-un-lft-identity
34×add-exp-log
32×associate-*l*
26×times-frac
21×add-cbrt-cube
19×add-cube-cbrt
18×pow1
17×prod-exp cbrt-unprod
10×distribute-lft-out-- difference-of-squares
9×cbrt-prod pow-prod-down
7×associate-*r*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×associate-*l/
2×pow1/3 associate-/r/ *-commutative unswap-sqr
1×flip3-- flip-- div-inv
Counts
4 → 112
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
59.0ms
(* (* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t))) (cbrt t))
36.0ms
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

series700.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt t)
180.0ms
(cbrt t)
120.0ms
(* (* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t))) (cbrt t))
222.0ms
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

simplify50.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0418962
11750710
25002667

prune338.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
10.1b
(* (- x y) (/ t (- z y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 87
Calls
2 calls:
5.0ms
(/ t (- z y))
23.0ms
(* (- x y) (/ t (- z y)))

series103.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ t (- z y))
69.0ms
(* (- x y) (/ t (- z y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0301489
11365452
25001452

prune191.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes167.0ms

Accuracy

0.6% (2.3b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.4b

bsearch83.0ms

Steps
ItersRangePoint
9
7.60506490158311e-42
6.465754957999803e-34
3.5231411634558426e-34
9
3.6431032437792455e-271
7.280527982293545e-266
8.746904515881534e-269

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02613
12613

end0.0ms

sample745.0ms

Algorithm
intervals
Results
518.0ms8731×body80valid