Details

Time bar (total: 3.8s)

sample17.0ms

Algorithm
intervals
Results
7.0ms275×body80valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1294
2564
3864
41184
51454
61564
71664
81674
91714
101754
112864
123244
133504
144484
155174
165994
177054
187994
198084
208084

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize6.0ms

Local error

Found 1 expressions with local error:

12.4b
(/ (* x (- y z)) (- t z))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
5×times-frac associate-/r*
3×add-cube-cbrt
2×cbrt-undiv flip3-- associate-*r/ div-exp associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 31
Calls
1 calls:
14.0ms
(/ (* x (- y z)) (- t z))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(/ (* x (- y z)) (- t z))

simplify86.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0209187
1850160
24095160
35002160

prune70.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.7b
(* x (/ (- y z) (- t z)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
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-*l* 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 associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
12.0ms
(/ (- y z) (- t z))
24.0ms
(* x (/ (- y z) (- t z)))

series109.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- y z) (- t z))
64.0ms
(* x (/ (- y z) (- t z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0356664
11414623
25001623

prune200.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.7b
(/ x (/ (- t z) (- y z)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
12.0ms
(/ (- t z) (- y z))
14.0ms
(/ x (/ (- t z) (- y z)))

series188.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- t z) (- y z))
141.0ms
(/ x (/ (- t z) (- y z)))

simplify70.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06421801
128871748
250011745

prune395.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- y z))
0.0b
(- (/ t (- y z)) (/ z (- y z)))
0.0b
(/ z (- y z))
2.7b
(/ x (- (/ t (- y z)) (/ z (- y z))))

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
848×*-un-lft-identity
819×times-frac
798×add-sqr-sqrt
444×add-cube-cbrt
441×prod-diff
197×distribute-lft-out--
167×difference-of-squares
114×associate-/r/
57×flip3-- flip--
56×div-inv
28×associate-/r*
21×fma-neg
15×distribute-rgt-out--
10×add-exp-log add-cbrt-cube
9×associate-/l*
6×add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×cbrt-undiv frac-2neg div-exp clear-num
2×frac-sub sub-div
1×sub-neg diff-log
Counts
4 → 664
Calls
4 calls:
5.0ms
(/ t (- y z))
70.0ms
(- (/ t (- y z)) (/ z (- y z)))
5.0ms
(/ z (- y z))
77.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

series239.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ t (- y z))
62.0ms
(- (/ t (- y z)) (/ z (- y z)))
45.0ms
(/ z (- y z))
103.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

simplify191.0ms

Algorithm
egg-herbie
Counts
676 → 676
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
0141216598
1437412324
2500112324

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes128.0ms

Accuracy

26.5% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02218
12218

end0.0ms

sample441.0ms

Algorithm
intervals
Results
229.0ms8745×body80valid