Details

Time bar (total: 4.0s)

sample20.0ms

Algorithm
intervals
Results
10.0ms274×body80valid

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1304
2694
31824
44014
56594
614034
718374
823874
927594
1027634
1127634

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
6.2b
(/ x (* (- y z) (- t z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 85
Calls
2 calls:
19.0ms
(* (- y z) (- t z))
8.0ms
(/ x (* (- y z) (- t z)))

series161.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (- y z) (- t z))
129.0ms
(/ x (* (- y z) (- t z)))

simplify63.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0384705
11834535
25002528

prune194.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.9b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×pow1/3
2×flip3-- flip-- div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 118
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
42.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series735.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt x)
197.0ms
(cbrt x)
190.0ms
(cbrt x)
157.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify75.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
05391075
12688884
25001825

prune397.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.9b
(/ (/ x (- y z)) (- t z))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 189
Calls
2 calls:
5.0ms
(/ x (- y z))
21.0ms
(/ (/ x (- y z)) (- t z))

series168.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ x (- y z))
131.0ms
(/ (/ x (- y z)) (- t z))

simplify71.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
06441751
123221707
250011707

prune529.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.0b
(/ x (- y z))
1.9b
(* (/ x (- y z)) (/ 1 (- t z)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
3 → 157
Calls
3 calls:
6.0ms
(/ 1 (- t z))
5.0ms
(/ x (- y z))
33.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

series203.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (- t z))
30.0ms
(/ x (- y z))
136.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

simplify68.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0537934
12214819
25001777

prune381.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes141.0ms

Accuracy

38% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.2b

bsearch4.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02721
12721

end0.0ms

sample443.0ms

Algorithm
intervals
Results
224.0ms8484×body80valid