Details

Time bar (total: 3.1s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
172
272

prune2.0ms

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))

rewrite12.0ms

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:
11.0ms
(/ x (- 1.0 x))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(/ x (- 1.0 x))

simplify106.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0175214
1591201
22753200
35001200

prune97.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 x))
0.0b
(sqrt (- 1.0 x))
0.0b
(/ (/ x (sqrt (- 1.0 x))) (sqrt (- 1.0 x)))
0.1b
(/ x (sqrt (- 1.0 x)))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
350×add-sqr-sqrt
348×*-un-lft-identity
320×sqrt-prod
220×add-cube-cbrt
64×distribute-lft-out-- difference-of-squares
33×associate-/l*
26×sqrt-div
22×associate-/r/
16×associate-/r*
13×flip3-- flip--
11×add-exp-log add-cbrt-cube div-inv
6×pow1
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×associate-/l/
Counts
4 → 386
Calls
4 calls:
9.0ms
(sqrt (- 1.0 x))
12.0ms
(sqrt (- 1.0 x))
35.0ms
(/ (/ x (sqrt (- 1.0 x))) (sqrt (- 1.0 x)))
12.0ms
(/ x (sqrt (- 1.0 x)))

series200.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(sqrt (- 1.0 x))
28.0ms
(sqrt (- 1.0 x))
31.0ms
(/ (/ x (sqrt (- 1.0 x))) (sqrt (- 1.0 x)))
107.0ms
(/ x (sqrt (- 1.0 x)))

simplify92.0ms

Algorithm
egg-herbie
Counts
398 → 398
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
09384854
135144312
250014294

prune855.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

5.1b
(/ x (- (pow 1.0 3) (pow x 3)))
15.0b
(* (/ x (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
235×add-sqr-sqrt
151×times-frac
132×*-un-lft-identity
112×difference-of-squares
84×unpow-prod-down cube-prod
81×associate-*l*
62×add-cube-cbrt
56×sqr-pow
35×distribute-lft-out--
25×associate-/r*
9×add-exp-log add-cbrt-cube
7×difference-cubes
4×pow1 associate-/r/
3×associate-*r* 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
Counts
2 → 227
Calls
2 calls:
36.0ms
(/ x (- (pow 1.0 3) (pow x 3)))
150.0ms
(* (/ x (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series144.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(/ x (- (pow 1.0 3) (pow x 3)))
58.0ms
(* (/ x (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify125.0ms

Algorithm
egg-herbie
Counts
233 → 233
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
09942287
147342198
250012197

prune811.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042

end0.0ms

sample228.0ms

Algorithm
intervals
Results
136.0ms8000×body80valid