Details

Time bar (total: 6.1s)

sample101.0ms

Algorithm
intervals
Results
54.0ms119×body1280valid
18.0ms73×body640valid
10.0ms257×body80nan
6.0ms41×body320valid
2.0ms18×body160valid
0.0ms5×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1256
2406
3656
4986
51226
61356
71376
81376

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
4.3b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
26×log-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
7×add-exp-log
5×associate-/r*
4×associate-/r/ add-cbrt-cube associate-/l*
3×pow1
2×expm1-log1p-u flip3-- div-exp rem-log-exp flip-- log1p-expm1-u div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 86
Calls
2 calls:
8.0ms
(/ (+ 1.0 x) (- 1.0 x))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series156.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (+ 1.0 x) (- 1.0 x))
124.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify118.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
0334673
11078636
24549616
35001613

prune186.0ms

Filtered
92 candidates to 62 candidates (67.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
70×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
36×add-cube-cbrt *-un-lft-identity
25×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
7×add-cbrt-cube
6×pow-to-exp pow-exp
4×pow1
3×associate-*l*
2×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
1×cbrt-undiv associate-*r/ pow-prod-down *-commutative fma-udef div-inv
Counts
2 → 122
Calls
2 calls:
1.0ms
(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
22.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series349.0ms

Counts
2 → 6
Calls
2 calls:
300.0ms
(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
48.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify53.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0555833
12731633
25001632

prune318.0ms

Filtered
128 candidates to 81 candidates (63.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
0.6b
(cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
0.6b
(cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
0.6b
(cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
1.0ms
(cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
1.0ms
(cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
1.0ms
(cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
282.0ms
(* (cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
239.0ms
(cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
243.0ms
(cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
247.0ms
(cbrt (fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))

simplify53.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04051856
116511713
250011501

prune350.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1.0 x))
0.0b
(* (/ 1 (- 1.0 x)) (+ 1.0 x))
4.3b
(log (* (/ 1 (- 1.0 x)) (+ 1.0 x)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
26×add-exp-log
23×add-cube-cbrt
21×associate-*l*
10×add-cbrt-cube
9×pow1
8×prod-exp
7×distribute-lft-out-- difference-of-squares
6×div-exp
5×log-div rem-log-exp associate-/r*
4×frac-times flip3-+ associate-*r/ associate-*r* associate-/r/ flip-+
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv flip3-- pow-prod-down associate-*l/ log-pow flip-- cbrt-unprod div-inv
1×distribute-rgt-in log-prod pow-flip frac-2neg distribute-lft-in clear-num *-commutative distribute-lft-out inv-pow
Counts
3 → 117
Calls
3 calls:
6.0ms
(/ 1 (- 1.0 x))
12.0ms
(* (/ 1 (- 1.0 x)) (+ 1.0 x))
9.0ms
(log (* (/ 1 (- 1.0 x)) (+ 1.0 x)))

series180.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ 1 (- 1.0 x))
32.0ms
(* (/ 1 (- 1.0 x)) (+ 1.0 x))
124.0ms
(log (* (/ 1 (- 1.0 x)) (+ 1.0 x)))

simplify56.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0538694
12570608
25002559

prune186.0ms

Filtered
126 candidates to 81 candidates (64.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes30.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01610
11610

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.5s3350×body1280valid
620.0ms2542×body640valid
225.0ms8059×body80nan
182.0ms1247×body320valid
59.0ms667×body160valid
8.0ms194×body80valid