Details

Time bar (total: 2.7s)

sample8.0ms

Algorithm
intervals
Results
3.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
172
272

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (- 1.0 x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
15×times-frac
11×add-cube-cbrt
5×associate-/r*
4×distribute-lft-out-- difference-of-squares
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 39
Calls
1 calls:
5.0ms
(/ x (- 1.0 x))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ x (- 1.0 x))

simplify99.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0175214
1591201
22753200
35001200

prune69.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ x (- 1.0 x))) (cbrt (/ x (- 1.0 x))))
0.4b
(cbrt (/ x (- 1.0 x)))
0.4b
(cbrt (/ x (- 1.0 x)))
0.4b
(cbrt (/ x (- 1.0 x)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
171×cbrt-prod
141×add-sqr-sqrt
135×*-un-lft-identity
123×times-frac
75×add-cube-cbrt
30×swap-sqr
27×distribute-lft-out--
24×associate-*r* associate-*l*
21×difference-of-squares
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 206
Calls
4 calls:
39.0ms
(* (cbrt (/ x (- 1.0 x))) (cbrt (/ x (- 1.0 x))))
3.0ms
(cbrt (/ x (- 1.0 x)))
3.0ms
(cbrt (/ x (- 1.0 x)))
3.0ms
(cbrt (/ x (- 1.0 x)))

series557.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(* (cbrt (/ x (- 1.0 x))) (cbrt (/ x (- 1.0 x))))
134.0ms
(cbrt (/ x (- 1.0 x)))
129.0ms
(cbrt (/ x (- 1.0 x)))
133.0ms
(cbrt (/ x (- 1.0 x)))

simplify59.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04592145
116002064
250021955

prune505.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ 1 (sqrt (- 1.0 x)))
0.1b
(* (/ 1 (sqrt (- 1.0 x))) (/ x (sqrt (- 1.0 x))))
0.1b
(/ x (sqrt (- 1.0 x)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
141×add-sqr-sqrt
118×times-frac
101×*-un-lft-identity
81×sqrt-prod
67×add-cube-cbrt
31×add-exp-log
30×associate-*r* associate-*l*
19×add-cbrt-cube
16×associate-/r*
15×unswap-sqr
14×distribute-lft-out-- difference-of-squares
11×div-exp
8×sqrt-div prod-exp associate-/r/
7×pow1
6×cbrt-undiv associate-/l*
4×flip3-- flip-- cbrt-unprod div-inv
3×expm1-log1p-u rec-exp pow-flip 1-exp log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×frac-times sqrt-pow1 pow1/2 associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 209
Calls
3 calls:
6.0ms
(/ 1 (sqrt (- 1.0 x)))
44.0ms
(* (/ 1 (sqrt (- 1.0 x))) (/ x (sqrt (- 1.0 x))))
6.0ms
(/ x (sqrt (- 1.0 x)))

series199.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ 1 (sqrt (- 1.0 x)))
33.0ms
(* (/ 1 (sqrt (- 1.0 x))) (/ x (sqrt (- 1.0 x))))
112.0ms
(/ x (sqrt (- 1.0 x)))

simplify78.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
07051837
135001593
250021458

prune315.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))
17.1b
(/ x (- (* 1.0 1.0) (* x x)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt times-frac
22×*-un-lft-identity
20×add-cube-cbrt
18×associate-*l*
9×add-exp-log add-cbrt-cube
7×difference-of-squares
4×pow1 associate-*r* associate-/r* associate-/r/
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times flip3-- flip3-+ associate-*r/ div-exp prod-exp flip-- cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out
Counts
2 → 81
Calls
2 calls:
22.0ms
(* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))
5.0ms
(/ x (- (* 1.0 1.0) (* x x)))

series135.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))
75.0ms
(/ x (- (* 1.0 1.0) (* x x)))

simplify58.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0524686
12435618
25001561

prune164.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
1811

end0.0ms

sample195.0ms

Algorithm
intervals
Results
110.0ms8000×body80valid