Details

Time bar (total: 7.0s)

sample100.0ms

Algorithm
intervals
Results
35.0ms741×body80nan
10.0ms17×body1280valid
9.0ms173×body80valid
9.0ms28×body640valid
5.0ms28×body320valid
1.0ms10×body160valid

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0227
1386
2536
3616
4786
51106
61756
72846
83636
93926
104766
114766

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (log (- 1.0 y)))
0.1b
(fma (log y) x (- (* z (log (- 1.0 y))) t))
3.8b
(log (- 1.0 y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×log-prod
14×*-un-lft-identity
8×add-cube-cbrt
7×pow1
6×add-exp-log
5×distribute-rgt-in distribute-lft-in add-cbrt-cube
4×associate-*r*
3×expm1-log1p-u associate-*l* log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
2×log-div log-pow
1×flip3-- rem-log-exp pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef unswap-sqr
Counts
3 → 59
Calls
3 calls:
7.0ms
(* z (log (- 1.0 y)))
0.0ms
(fma (log y) x (- (* z (log (- 1.0 y))) t))
3.0ms
(log (- 1.0 y))

series245.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(* z (log (- 1.0 y)))
113.0ms
(fma (log y) x (- (* z (log (- 1.0 y))) t))
44.0ms
(log (- 1.0 y))

simplify122.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (114.0ms)

IterNodesCost
0332427
11128376
24553369
35001366

prune252.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.0b
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
0.1b
(fma (log y) x (- (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t))
8.3b
(* z (pow y 2))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
25×prod-exp
20×associate-*r*
19×add-sqr-sqrt
15×add-cbrt-cube
12×div-exp
11×add-cube-cbrt *-un-lft-identity
8×pow-to-exp times-frac pow-exp
7×unpow-prod-down
6×pow1 associate-*l*
5×cbrt-unprod unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×unpow2 sqr-pow
2×cbrt-undiv *-commutative fma-udef
1×associate-*r/ pow-prod-down div-inv
Counts
4 → 93
Calls
4 calls:
0.0ms
(fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
14.0ms
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
0.0ms
(fma (log y) x (- (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t))
6.0ms
(* z (pow y 2))

series373.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
61.0ms
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
172.0ms
(fma (log y) x (- (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t))
31.0ms
(* z (pow y 2))

simplify52.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0380697
11716603
25001603

prune375.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (log y) x (- (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)))
8.3b
(* z (pow y 2))
8.3b
(* z (pow y 2))
8.3b
(* z (pow y 2))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
24×associate-*r*
19×add-exp-log
14×add-cube-cbrt *-un-lft-identity
12×unpow-prod-down unswap-sqr
10×add-cbrt-cube
9×associate-*l* prod-exp
6×unpow2 sqr-pow
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow-to-exp pow-exp *-commutative cbrt-unprod
1×pow1/3
Counts
4 → 100
Calls
4 calls:
0.0ms
(cbrt (fma (log y) x (- (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)))
5.0ms
(* z (pow y 2))
5.0ms
(* z (pow y 2))
9.0ms
(* z (pow y 2))

series422.0ms

Counts
4 → 12
Calls
4 calls:
328.0ms
(cbrt (fma (log y) x (- (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)))
35.0ms
(* z (pow y 2))
29.0ms
(* z (pow y 2))
30.0ms
(* z (pow y 2))

simplify43.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0322726
11088651
25001624

prune642.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

8.3b
(* z (pow y 2))
8.3b
(* z (pow y 2))
8.3b
(* z (pow y 2))
8.3b
(* z (pow y 2))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
32×associate-*r*
24×add-exp-log
16×add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
12×associate-*l* prod-exp add-cbrt-cube
8×unpow2 sqr-pow
4×pow1 expm1-log1p-u pow-to-exp pow-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp
Counts
4 → 116
Calls
4 calls:
5.0ms
(* z (pow y 2))
6.0ms
(* z (pow y 2))
5.0ms
(* z (pow y 2))
6.0ms
(* z (pow y 2))

series128.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* z (pow y 2))
32.0ms
(* z (pow y 2))
36.0ms
(* z (pow y 2))
30.0ms
(* z (pow y 2))

simplify88.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
0109432
1408372
22002372
35001368

prune771.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes205.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02313
12313

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.1s24280×body80nan
293.0ms5525×body80valid
271.0ms895×body640valid
228.0ms376×body1280valid
136.0ms753×body320valid
54.0ms491×body160valid